競馬の的中率に関する考察(Considerations regarding hit rate)
(2025年9月20日公開、2025年09月20日21:50:51第0回の改訂)
競馬ホーム(HorseRacingHome)・ホーム・English Home

ここでは競馬の的中率について、競馬の勝敗がルーレットのようなものを使って計算できると仮定して、計算しています。
Here, I am calculating the hit rate of horse racing, assuming that the hit rate of a horse race can be calculated using something like roulette.
かなり乱暴な仮定ですが、ルーレットやサイコロの試行、理論？を使って、ざっくりと計算することを試しています。
This is a pretty rough assumption, but I'm trying to do a rough calculation using roulette and dice trials and theory.

目的・目標・背景
Purpose and background
競馬をしていると、連敗があります。
When we're betting horses, we'll have losing streaks.
連敗が続くと、どこまで我慢すればいいのかと時々思います。
When I'm on a losing streak, I sometimes wonder how long I can hold on.
また、連敗の後に、得られた払戻が想定より安いと、不満を感じます。逆に想定より高いと、かなり興奮します。
After a losing streak, if the payout we get is lower than expected, we feel frustrated. Conversely, if the payout is higher than expected, we feel quite excited.
しかし、この払戻が実際には期待値より上なのか下なのか、よくわからないことがほとんどです。
However, it is often unclear whether this payout is actually above or below the expected amount.
そこで、ここでは、人気順を使って賭けを行った時の、(1)的中率、(2)あるレースでの支持率が的中率と一致する場合の払戻、(3)的中するまでの試行回数の平均を筆者なりに計算しています。
So, here I have calculated the (1)hit rate, (2)payout when the odds of winning in a race match the odds of winning and (3)average number of attempts to hit, when placing bets using the popularity ranking.

単勝
Single win
i番人気の勝つ確率が(2/3)^(i-1)-(2/3)ⁱの場合
When the probability of i-th rank win is (2/3)^(i-1)-(2/3)ⁱ
実際の競馬データをみると、１番人気が３３％、２番人気が２０％、、、などなどと具体的な数字が確認できますが、下位人気ではi番人気の的中率が(i+1)番人気の的中率よりも小さかったりする例がよくあります。
When looking at actual horse racing data, we can see concrete figures such as 33% for the most popular horse, 20% for the second most popular, etc. However, among the less popular horses, there are often cases where the hit rate for the i-th most popular horse is lower than the hit rate for the (i+1)th most popular horse.
これは的中回数が少ないためと考えられます。
This is thought to be due to the low number of hits.
何かいい方法はないかと検討していたところ、1番人気が負ける確率がだいたい2/3であることに気づき、それを使ってみたいと思いました。
While I was thinking about whether there was a good way, I noticed that the probability of the most popular horse losing is about 2/3, so I decided to try using that method.
i番人気の勝つ確率が(2/3)^(i-1)-(2/3)ⁱの場合、頭数が多くになるにつれて、確率の和が1に近づいていき、とてもわかりやすいのです。
If the probability of the i-th most popular horse winning is (2/3)^(i-1)-(2/3)ⁱ, as the number of horses increases, the sum of the probabilities approaches 1, which is very easy to understand.
結果は以下のようになります。
The result is as follows:

単勝 Single Win	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)ⁱ)÷Σ(((2/3)^(j-1)-(2/3)^j))
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=80%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

頭数 Number of Horses	18	17	16	15	14	13	12	11	10	9	8	7	6	5
1	33.3559032545198 240 2.9979700815462	33.3671996805248 240 2.9969551223193	33.3841586731497 240 2.99543268347896	33.4096295097442 240 2.99314902521844	33.4479087229117 240 2.98972353782765	33.5054922954031 240 2.98458530674148	33.5922403739487 240 2.97687796011222	33.7232080137522 240 2.96531694016833	33.9215855234813 240 2.9479754102525	34.2235668457566 230 2.92196311537875	34.6867565424267 230 2.88294467306813	35.4055366682856 230 2.82441700960219	36.5413533834587 220 2.73662551440329	38.3886255924171 210 2.60493827160494
2	22.2372688363465 360 4.4969551223193	22.2447997870166 360 4.49543268347896	22.2561057820998 360 4.49314902521844	22.2730863398295 360 4.48972353782765	22.2986058152745 360 4.48458530674148	22.3369948636021 360 4.47687796011222	22.3948269159658 360 4.46531694016834	22.4821386758348 360 4.4479754102525	22.6143903489875 350 4.42196311537875	22.8157112305044 350 4.38294467306813	23.1245043616178 350 4.32441700960219	23.6036911121904 340 4.23662551440329	24.3609022556391 330 4.10493827160494	25.5924170616114 310 3.90740740740741
3	14.8248458908977 540 6.74543268347896	14.8298665246777 540 6.74314902521844	14.8374038547332 540 6.73972353782765	14.848724226553 540 6.73458530674148	14.865737210183 540 6.72687796011222	14.891329909068 540 6.71531694016834	14.9298846106439 540 6.6979754102525	14.9880924505565 530 6.67196311537875	15.0762602326583 530 6.63294467306813	15.2104741536696 530 6.5744170096022	15.4163362410785 520 6.48662551440329	15.7357940747936 510 6.35493827160494	16.2406015037594 490 6.15740740740741	17.0616113744076 470 5.86111111111111
4	9.88323059393179 810 10.1181490252184	9.88657768311847 810 10.1147235378277	9.89160256982212 810 10.1095853067415	9.89914948436865 810 10.1018779601122	9.91049147345531 810 10.0903169401683	9.92755327271203 810 10.0729754102525	9.95325640709592 800 10.0469631153788	9.99206163370436 800 10.0079446730681	10.0508401551056 800 9.94941700960219	10.1403161024464 790 9.86162551440329	10.2775574940523 780 9.72993827160494	10.4905293831957 760 9.53240740740741	10.8270676691729 740 9.23611111111111	11.3744075829384 700 8.79166666666667
5	6.58882039595453 1,210 15.1772235378277	6.59105178874565 1,210 15.1720853067415	6.59440171321475 1,210 15.1643779601122	6.5994329895791 1,210 15.1528169401683	6.60699431563687 1,210 15.1354754102525	6.61836884847468 1,210 15.1094631153788	6.63550427139728 1,210 15.0704446730681	6.66137442246957 1,200 15.0119170096022	6.7005601034037 1,190 14.9241255144033	6.76021073496427 1,180 14.7924382716049	6.85170499603489 1,170 14.5949074074074	6.99368625546382 1,140 14.2986111111111	7.21804511278195 1,110 13.8541666666667	7.58293838862559 1,060 13.1875
6	4.39254693063635 1,820 22.7658353067415	4.39403452583043 1,820 22.7581279601122	4.39626780880983 1,820 22.7465669401683	4.39962199305274 1,820 22.7292254102525	4.40466287709125 1,820 22.7032131153787	4.41224589898312 1,810 22.6641946730681	4.42366951426486 1,810 22.6056670096022	4.44091628164638 1,800 22.5178755144033	4.46704006893581 1,790 22.3861882716049	4.50680715664285 1,780 22.1886574074074	4.56780333068993 1,750 21.8923611111111	4.66245750364255 1,720 21.4479166666667	4.81203007518797 1,660 20.78125
7	2.92836462042423 2,730 34.1487529601122	2.92935635055362 2,730 34.1371919401683	2.93084520587322 2,730 34.1198504102525	2.93308132870182 2,730 34.0938381153788	2.93644191806083 2,720 34.0548196730681	2.94149726598875 2,720 33.9962920096022	2.9491130095099 2,710 33.9085005144033	2.96061085443092 2,700 33.776813271605	2.97802671262387 2,690 33.5792824074074	3.00453810442856 2,660 33.2829861111111	3.04520222045995 2,630 32.8385416666667	3.10830500242836 2,570 32.171875
8	1.95224308028282 4,100 51.2231294401683	1.95290423370241 4,100 51.2057879102525	1.95389680391548 4,090 51.1797756153788	1.95538755246788 4,090 51.1407571730681	1.95762794537389 4,090 51.0822295096022	1.96099817732583 4,080 50.9944380144033	1.96607533967327 4,070 50.862750771605	1.97374056962061 4,050 50.6652199074074	1.98535114174925 4,030 50.3689236111111	2.00302540295238 3,990 49.9244791666667	2.03013481363997 3,940 49.2578125
9	1.30149538685522 6,150 76.8346941602525	1.30193615580161 6,140 76.8086818653787	1.30259786927699 6,140 76.7696634230681	1.30359170164526 6,140 76.7111357596022	1.30508529691593 6,130 76.6233442644033	1.30733211821722 6,120 76.4916570216049	1.31071689311551 6,100 76.2941261574074	1.31582704641374 6,080 75.9978298611111	1.32356742783283 6,040 75.5533854166667	1.33535026863492 5,990 74.88671875
10	0.86766359123681 9,220 115.252041240379	0.867957437201073 9,220 115.213022798068	0.868398579517991 9,210 115.154495134602	0.86906113443017 9,210 115.066703639403	0.870056864610617 9,190 114.935016396605	0.871554745478148 9,180 114.737485532407	0.873811262077008 9,160 114.441189236111	0.877218030942495 9,120 113.996744791667	0.882378285221887 9,070 113.330078125
11	0.578442394157873 13,830 172.878061860568	0.578638291467382 13,830 172.819534197102	0.578932386345328 13,820 172.731742701903	0.579374089620113 13,810 172.600055459105	0.580037909740411 13,790 172.402524594907	0.581036496985432 13,770 172.106228298611	0.582540841384672 13,730 171.661783854167	0.58481202062833 13,680 170.9951171875
12	0.385628262771916 20,750 259.317092790852	0.385758860978255 20,740 259.229301295653	0.385954924230218 20,730 259.097614052855	0.386249393080076 20,710 258.900083188657	0.386691939826941 20,690 258.603786892361	0.387357664656955 20,650 258.159342447917	0.388360560923115 20,600 257.49267578125
13	0.25708550851461 31,120 388.975639186278	0.257172573985503 31,110 388.84395194348	0.257303282820146 31,090 388.646421079282	0.257499595386717 31,070 388.350124782986	0.257794626551294 31,030 387.905680338542	0.258238443104636 30,980 387.239013671875
14	0.17139033900974 46,680 583.463458779417	0.171448382657002 46,660 583.26592791522	0.171535521880097 46,640 582.969631618924	0.171666396924478 46,600 582.525187174479	0.171863084367529 46,550 581.858520507812
15	0.114260226006494 70,020 875.195188169126	0.114298921771335 69,990 874.89889187283	0.114357014586731 69,960 874.454447428385	0.114444264616319 69,900 873.787780761719
16	0.076173484004329 105,020 1312.79278225369	0.0761992811808898 104,990 1312.34833780924	0.0762380097244876 104,930 1311.68167114258
17	0.0507823226695527 157,540 1969.18917338053	0.0507995207872599 157,480 1968.52250671387
18	0.0338548817797018 236,300 2953.7837600708

2番人気の的中率がちょっと大きいかもしれません。その他も微妙におかしいです。
The hit rate for the second most popular choice may be a little high. The others are also slightly odd.
最大の問題は18番人気の払戻が236,300円という、実際には見たことのない金額になっていることです。
The biggest problem is that the payout for the 18th popular is 236,300 yen, an amount never seen before.
これは実際のオッズには人気順や強さに関係ない投票が反映されるためと思われます。
This is likely because the actual odds reflect votes that are not related to popularity or strength.
そこで、勝つ確率に定数を足すことにしました。
So I decided to add a constant to the probability of winning.

i番人気の勝つ確率が(2/3)^(i-1)-(2/3)^i+aに加えて定数を足す場合
When the probability of i-th rank win is (2/3)^(i-1)-(2/3)ⁱ+a(Adding a constant)

単勝 Single Win	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)ⁱ+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=80%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

頭数 Number of Horses	18	17	16	15	14	13	12	11	10	9	8	7	6	5
1	31.9306820622266 250 3.13178402531834	32.0322023907781 250 3.12185839674857	32.1395647471529 250 3.11142981514267	32.2554965209671 250 3.10024680398259	32.3841312539397 250 3.08793214849123	32.5317507084805 250 3.07392002650296	32.7079389540355 240 3.0573617047693	32.9274033887817 240 3.03698408341758	33.2129087218694 240 3.01087751263875	33.6001462965934 240 2.97617751771928	34.1461553983125 230 2.92858738658883	34.9447272993315 230 2.86166205114192	36.1567682511407 220 2.76573390922031	38.0763586386825 210 2.62630155758666
2	21.3820589825349 370 4.67681807826276	21.4500410459554 370 4.66199574097578	21.5219351643472 370 4.64642232384651	21.5995677066404 370 4.62972228695378	21.6857066573293 370 4.61133232041587	21.7845585352131 370 4.59040745941019	21.9025412156689 370 4.56568025670285	22.0495033594518 360 4.53524954144302	22.2406891242911 360 4.49626355735447	22.4999988580095 360 4.44444467002282	22.8656283423784 350 4.37337642782654	23.4003839563082 340 4.27343415333329	24.2120149471629 330 4.13018083039461	25.4974492767127 310 3.92196093478777
3	14.3496435960739 560 6.96881419600976	14.3952668160737 560 6.94672778752113	14.4435154424767 550 6.92352221301412	14.4956151637558 550 6.89863788947952	14.5534235929223 550 6.87123544240355	14.6197637530348 550 6.84005581001552	14.6989427234246 540 6.8032103996594	14.7975700065651 540 6.75786632235114	14.9258760592389 540 6.69977424461468	15.0999005656203 530 6.62256016623592	15.3452769717557 520 6.5166630868937	15.7041550609594 510 6.36774150610629	16.2488460778444 490 6.1542831731511	17.1115097020662 470 5.84401971194424
4	9.66136667176646 830 10.3505025114336	9.69208399615253 830 10.3176984474853	9.72456896122973 820 10.2832321307694	9.75964680183284 820 10.2462724349021	9.79856821665105 820 10.2055726703077	9.84323389824927 810 10.1592628026228	9.89654372859502 810 10.1045377803021	9.9629477713074 800 10.0371900260275	10.0493340158708 800 9.95090817382234	10.1665017040274 790 9.83622517472114	10.3317093913405 770 9.67894045527593	10.5733357973934 760 9.45775315531472	10.9400668316321 730 9.14071198457951	11.5208833189685 690 8.67989000768329
5	6.5358487222282 1,220 15.3002317296457	6.55662878287176 1,220 15.2517403854303	6.5786046403984 1,220 15.2007918800763	6.60233456055083 1,210 15.1461576330141	6.62866463247019 1,210 15.0859947733899	6.65888066172559 1,200 15.0175389949226	6.69494439870865 1,190 14.9366438381906	6.73986628113557 1,190 14.8370896140615	6.79830598695876 1,180 14.7095467888369	6.87756912963221 1,160 14.540021061969	6.98933100439708 1,140 14.3075209826361	7.15278962168284 1,120 13.9805593746056	7.40088066749051 1,080 13.511905473529	7.79379906357008 1,030 12.830713132883
6	4.45217008920269 1,800 22.460956791053	4.46632530735124 1,790 22.3897708112321	4.48129509317752 1,790 22.3149776840725	4.4974597330295 1,780 22.2347738359049	4.51539557634962 1,770 22.1464539062252	4.53597850404313 1,760 22.0459598542774	4.56054484545106 1,750 21.9272046189274	4.59114528768768 1,740 21.7810576084741	4.63095396768405 1,730 21.593822935366	4.68494741336873 1,710 21.3449567682756	4.7610787464348 1,680 21.0036433602116	4.87242550454244 1,640 20.5236590906875	5.04142322472947 1,590 19.835668528973
7	3.06305100051902 2,610 32.6471873903032	3.07278965700423 2,600 32.5437179769387	3.0830887283636 2,590 32.435005544935	3.09420984801527 2,590 32.3184285849724	3.10654953893591 2,580 32.1900548330715	3.1207103989215 2,560 32.0439858932631	3.13761180994601 2,550 31.8713741715935	3.15866462538909 2,530 31.6589482771321	3.1860526215009 2,510 31.3868011234829	3.22319960252641 2,480 31.025072081052	3.2755772411266 2,440 30.5289702054487	3.35218275978217 2,390 29.8313090800867
8	2.13697160806324 3,740 46.7951935452391	2.14376589010622 3,730 46.6468845602562	2.15095115182098 3,720 46.4910604386997	2.15870992467246 3,710 46.3239636122825	2.16731884732677 3,690 46.1399577285746	2.1771983288404 3,670 45.9305882589304	2.18898978627597 3,650 45.6831734103819	2.20367751719003 3,630 45.3786904934769	2.2227850573788 3,600 44.9886054740371	2.24870106196486 3,560 44.4701173007952	2.28524290425448 3,500 43.75902439685
9	1.51958534642605 5,260 65.8074258449468	1.52441671217422 5,250 65.5988609947562	1.52952610079257 5,230 65.3797277131666	1.53504330911058 5,210 65.1447417844785	1.54116505292067 5,190 64.8859768851424	1.54819028211968 5,170 64.5915435298346	1.55657510382928 5,140 64.2436074905691	1.56701944505732 5,110 63.815417425367	1.58060668129741 5,060 63.2668463212601	1.59903536825716 5,000 62.5377036587959
10	1.10799450533459 7,220 90.2531551542326	1.11151726021955 7,200 89.9671139431948	1.1152427334403 7,170 89.6665784062273	1.11926556540266 7,150 89.3443013803651	1.12372918998327 7,120 88.989412121161	1.12885158430586 7,090 88.5856045119439	1.13496531553148 7,050 88.1084193777074	1.14258073030218 7,000 87.5211679559417	1.15248776390981 6,940 86.7688171028823
11	0.833600611273619 9,600 119.96152431704	0.836250958916437 9,570 119.581327750672	0.839053821872119 9,530 119.18186580317	0.842080402930714 9,500 118.75350578397	0.845438614691676 9,460 118.28179865722	0.849292452429979 9,420 117.745070869148	0.853892123332955 9,370 117.11081208909	0.859621587132092 9,310 116.330256821056
12	0.650671348566304 12,290 153.687418725815	0.652740091381028 12,260 153.200333977381	0.654927880826664 12,220 152.688567592783	0.657290294616084 12,170 152.139778753935	0.659911564497278 12,120 151.535456233716	0.662919697846059 12,070 150.847833191437	0.666509995200602 12,000 150.035259366069
13	0.528718506761427 15,130 189.136560799682	0.530399513024089 15,080 188.537126344342	0.532177253463028 15,030 187.907317250543	0.534096889072997 14,980 187.231946199059	0.536226864367679 14,920 186.488232211045	0.538671194790113 14,850 185.642003818236
14	0.447416612224843 17,880 223.505335447282	0.448839127452796 17,820 222.796975316099	0.45034350188727 17,760 222.052721047215	0.451967952044272 17,700 221.254625571781	0.453770397614613 17,630 220.37576828652
15	0.393215349200453 20,350 254.313571948134	0.394465537071934 20,280 253.507570629077	0.395787667503431 20,210 252.660727482453	0.397215327358455 20,140 251.752621594478
16	0.35708117385086 22,400 280.048368054728	0.358216476818026 22,330 279.16080490848	0.359417111247539 22,260 278.228267020731
17	0.332991723617798 24,020 300.307764149652	0.334050436648754 23,950 299.355992475913
18	0.31693209012909 25,240 315.525007137235

なお、18頭の場合のこれら２つの確率を円グラフにすると以下のようになります。
The following pie chart shows these two probabilities for 18 horses.


(2/3)^(i-1)-(2/3)ⁱ	(2/3)^(i-1)-(2/3)ⁱ+a ____(a=0.003)

見た目上は、２つの円グラフに大きな違いはありません。
Visually, there is not much difference between the two pie charts.
筆者としては、下位人気の払戻も重視したいので、係数aを使って、この先の議論を続けたいと思います。
As the author would like to also place importance on the payouts of less popular horses, I would like to continue the discussion using coefficient a.

馬単
Exacta
上の２番目の例、係数aを使った式を使って、馬単の的中率を計算してみます。
In the second example above, let's use the formula using coefficient a to calculate the winning rate of the exacta.
1着のゴール後に、1着を除いた円グラフを使って計算します。
After the first place finisher finishes, the calculation is performed using a pie chart excluding the first place finisher.
下は１番人気が１着になった後の円グラフです。
Below is a pie chart after the most popular horse came in first.

after the most popular horse came in first

計算式が理由ですが、１番人気が１着になり、円グラフから消えた時の円グラフは、１番人気がいた時の円グラフに似ています。これは面白いです。
This is due to the calculation formula, but when the most popular horse comes in first and disappears from the pie chart, the pie chart looks similar to the pie chart when the most popular horse was still there. This is interesting.
馬単の結果を以下に示します。
The results of the exacta are shown below.

馬単(18頭) Exacta (18 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	合計 1着の確率 Total Probability of finishing first
1		10.0301244068765 750 9.97	6.73128395074216 1,110 14.86	4.53205697998592 1,650 22.07	3.06590566614843 2,450 32.62	2.08847145692343 3,590 47.88	1.43684865077344 5,220 69.6	1.00243344667344 7,480 99.76	0.712823310606773 10,520 140.29	0.519749886562329 14,430 192.4	0.3910342705327 19,180 255.73	0.30522385984628 24,570 327.63	0.248016919388667 30,240 403.2	0.209878959083592 35,730 476.47	0.184453652213542 40,660 542.14	0.167503447633509 44,780 597.	0.15620331124682 48,010 640.19	0.148669886989027 50,450 672.63	31.9306820622266 3.13
2	8.68432470211128 860 11.52		3.90273418228346 1,920 25.62	2.62764337699604 2,850 38.06	1.77758284013777 4,220 56.26	1.21087581556558 6,190 82.58	0.833071132517458 9,000 120.04	0.581201343818708 12,900 172.06	0.413288151352876 18,150 241.96	0.301346023042321 24,890 331.84	0.226717937501951 33,080 441.08	0.176965880475037 42,380 565.08	0.143797842457095 52,160 695.42	0.1216858171118 61,630 821.79	0.106944466881604 70,130 935.06	0.0971169000614727 77,230 1,029.69	0.090565188848052 82,810 1,104.18	0.0861973813724382 87,010 1,160.13	21.3820589825349 4.68
3	5.34958553133933 1,400 18.69	3.58229596036499 2,090 27.92		1.61864088150461 4,630 61.78	1.09499952714184 6,850 91.32	0.745905290899997 10,050 134.07	0.5131758000721 14,610 194.86	0.358022806186836 20,950 279.31	0.254587476929993 29,460 392.79	0.185630590758764 40,400 538.7	0.139659333311279 53,700 716.03	0.109011828346288 68,800 917.33	0.0885801583696278 84,670 1,128.92	0.0749590450518543 100,050 1,334.06	0.0658783028400052 113,850 1,517.95	0.0598244746987725 125,370 1,671.56	0.0557885892712841 134,440 1,792.48	0.0530979989862918 141,250 1,883.31	14.3496435960739 6.97
4	3.41486267964553 2,200 29.28	2.28672832892022 3,280 43.73	1.53463876177001 4,890 65.16		0.69898368715866 10,730 143.06	0.476142333928968 15,750 210.02	0.32758143177584 22,900 305.27	0.228540830340421 32,820 437.56	0.162513762716809 46,150 615.33	0.1184957176344 63,290 843.91	0.089150354246128 84,130 1,121.7	0.0695867786539465 107,780 1,437.05	0.0565443949258256 132,640 1,768.52	0.0478494724404116 156,740 2,089.89	0.0420528574501356 178,350 2,377.96	0.0381884474566182 196,390 2,618.59	0.0356121741276067 210,600 2,808.03	0.0338946585749323 221,270 2,950.32	9.66136667176646 10.35
5	2.23287864601742 3,360 44.79	1.49522464997599 5,020 66.88	1.0034553192817 7,470 99.66	0.675609098818837 11,100 148.01		0.311335520526772 24,090 321.2	0.214195899648887 35,010 466.86	0.149436152396964 50,190 669.18	0.106262987562349 70,580 941.06	0.0774808776726057 96,800 1,290.64	0.0582928044127767 128,660 1,715.48	0.0455007555728907 164,830 2,197.77	0.0369727230129667 202,850 2,704.7	0.0312873679730174 239,710 3,196.18	0.0274971312797178 272,760 3,636.74	0.0249703068175181 300,360 4,004.76	0.0232857571760516 322,090 4,294.47	0.0221627240817407 338,410 4,512.08	6.5358487222282 15.3
6	1.48784988354007 5,040 67.21	0.996323658386429 7,530 100.37	0.668639508284002 11,220 149.56	0.450183408215717 16,660 222.13	0.304546008170194 24,630 328.36		0.14272667478628 52,550 700.64	0.0995748525505693 75,320 1,004.27	0.0708069710600957 105,920 1,412.29	0.0516283833997798 145,270 1,936.92	0.0388426582929027 193,090 2,574.49	0.0303188415549845 247,370 3,298.28	0.0246362970630391 304,430 4,059.05	0.0208479340684088 359,750 4,796.64	0.0183223587386553 409,340 5,457.81	0.016638641852153 450,760 6,010.11	0.0155161639278181 483,370 6,444.89	0.0147678453115948 507,860 6,771.47	4.45217008920269 22.46
7	1.00895797368743 7,430 99.11	0.675638524170602 11,100 148.01	0.453425557826053 16,540 220.54	0.30528358026302 24,570 327.56	0.206522261887665 36,320 484.21	0.140681382970761 53,310 710.83		0.0675248508408685 111,070 1,480.94	0.0480164422728971 156,200 2,082.62	0.0350108365609161 214,220 2,856.26	0.0263404327529288 284,730 3,796.44	0.020560163547604 364,780 4,863.77	0.0167066507440541 448,920 5,985.64	0.0141376422083541 530,500 7,073.32	0.0124249698512208 603,620 8,048.31	0.0112831882797986 664,710 8,862.74	0.0105220005655172 712,790 9,503.9	0.0100145420893295 748,910 9,985.48	3.06305100051902 32.65
8	0.69724963670442 10,760 143.42	0.466906182226581 16,060 214.18	0.313343879241354 23,940 319.14	0.210969010584537 35,550 474.	0.142719098146658 52,550 700.68	0.0972191565214062 77,150 1,028.6	0.0668858621045713 112,130 1,495.08		0.0331822016414215 226,020 3,013.66	0.0241945588512482 309,990 4,133.16	0.0182027969911327 412,020 5,493.66	0.014208289084389 527,860 7,038.15	0.0115452838132266 649,620 8,661.55	0.00976994696578494 767,660 10,235.47	0.00858638906749051 873,480 11,646.34	0.00779735046862756 961,870 12,824.87	0.00727132473605226 1,031,450 13,752.65	0.0069206409143354 1,083,710 14,449.53	2.13697160806324 46.8
9	0.492700977487078 15,220 202.96	0.329932236989199 22,730 303.09	0.221419743323947 33,870 451.63	0.149078080880446 50,310 670.79	0.100850305918111 74,370 991.57	0.0686984559432218 109,170 1,455.64	0.0472638892932954 158,680 2,115.78	0.0329741781933445 227,450 3,032.68		0.0170967214156213 438,680 5,849.07	0.0128627329415618 583,080 7,774.4	0.0100400739588554 747,010 9,960.09	0.00815830130371785 919,310 12,257.45	0.00690378620029281 1,086,360 14,484.81	0.00606744279800944 1,236,110 16,481.41	0.00550988052982053 1,361,190 18,149.21	0.00513817235102793 1,459,660 19,462.17	0.00489036689849952 1,533,630 20,448.36	1.51958534642605 65.81
10	0.357754098519534 20,960 279.52	0.239566421440071 31,310 417.42	0.160774636720429 46,650 621.99	0.108246780240668 69,290 923.82	0.0732282092541605 102,420 1,365.59	0.0498824952631555 150,350 2,004.71	0.0343186859358188 218,540 2,913.86	0.0239428130509277 313,250 4,176.62	0.0170255644610003 440,510 5,873.52		0.0093397326944143 803,020 10,706.94	0.00729017755665803 1,028,780 13,717.09	0.00592380746482052 1,266,080 16,881.03	0.00501289407026218 1,496,140 19,948.56	0.00440561847388995 1,702,370 22,698.29	0.00400076807630847 1,874,640 24,995.2	0.00373086781125414 2,010,260 26,803.42	0.00355093430121793 2,112,120 28,161.6	1.10799450533459 90.25
11	0.268411843623735 27,940 372.56	0.17973928213588 41,730 556.36	0.120624241143978 62,180 829.02	0.0812142138160425 92,350 1,231.31	0.0549408622640856 136,510 1,820.14	0.0374252945627811 200,400 2,671.99	0.0257482494285781 291,280 3,883.76	0.0179635526724428 417,510 5,566.83	0.0127737548350192 587,140 7,828.55	0.00931388961007015 805,250 10,736.65		0.00546959491568232 1,371,220 18,282.89	0.00444444966384557 1,687,500 22,499.97	0.0037610194959544 1,994,140 26,588.54	0.00330539938402696 2,269,010 30,253.53	0.00300165264274199 2,498,620 33,314.98	0.00279915481521868 2,679,380 35,725.07	0.00266415626353648 2,815,150 37,535.34	0.833600611273619 119.96
12	0.209124512868774 35,860 478.18	0.140038119453256 53,560 714.09	0.0939805238429103 79,800 1,064.05	0.0632754601026799 118,530 1,580.39	0.0428054176091929 175,210 2,336.15	0.029158722613535 257,210 3,429.51	0.020060925949763 373,860 4,984.81	0.013995728173915 535,880 7,145.04	0.00995226299001632 753,600 10,047.97	0.00725661953408388 1,033,540 13,780.52	0.00545952389679558 1,373,750 18,316.62		0.00346275096647526 2,165,910 28,878.77	0.00293027818505651 2,559,480 34,126.45	0.00257529633077734 2,912,290 38,830.48	0.00233864176125789 3,206,990 42,759.86	0.00218087204824493 3,438,990 45,853.22	0.00207569223956962 3,613,250 48,176.7	0.650671348566304 153.69
13	0.16972077052171 44,190 589.2	0.113651801072846 65,990 879.88	0.0762724881069372 98,330 1,311.09	0.0513529461296646 146,050 1,947.31	0.0347399181448162 215,890 2,878.53	0.0236645661549172 316,930 4,225.73	0.0162809981616512 460,660 6,142.13	0.0113586194994739 660,290 8,803.89	0.00807703372468906 928,560 12,380.78	0.00588930987483248 1,273,490 16,979.92	0.00443082730826142 1,692,690 22,569.15	0.00345850559721405 2,168,570 28,914.22		0.00237814814049475 3,153,710 42,049.53	0.00209005281870294 3,588,430 47,845.68	0.00189798927084173 3,951,550 52,687.34	0.00176994690560092 4,237,420 56,498.87	0.00168458532877372 4,452,130 59,361.79	0.528718506761427 189.14
14	0.143505242236278 52,260 696.84	0.096096837136748 78,050 1,040.62	0.0644912337370611 116,290 1,550.6	0.0434208314706032 172,730 2,303.04	0.0293738966262979 255,330 3,404.38	0.020009273396761 374,830 4,997.68	0.0137661912437365 544,810 7,264.17	0.00960413647505341 780,910 10,412.18	0.00682943329593138 1,098,190 14,642.5	0.00497963117651669 1,506,140 20,081.81	0.00374642976357357 2,001,910 26,692.08	0.00292429548827815 2,564,720 34,196.27	0.00237620597141454 3,156,290 42,083.89		0.00176721761934386 4,243,960 56,586.13	0.00160482072545835 4,673,420 62,312.26	0.00149655612953467 5,011,510 66,820.08	0.00142437973225222 5,265,450 70,206.	0.447416612224843 223.51
15	0.126051998780249 59,500 793.32	0.0844094488032917 88,850 1,184.7	0.0566477488186537 132,400 1,765.3	0.0381399488288951 196,640 2,621.92	0.0258014155023893 290,680 3,875.76	0.0175757266180522 426,720 5,689.67	0.0120919340284941 620,250 8,269.98	0.00843607230212199 889,040 11,853.86	0.00599883115120727 1,250,240 16,669.91	0.00437400371726413 1,714,680 22,862.35	0.0032907854279687 2,279,090 30,387.88	0.00256863990177174 2,919,830 38,931.11	0.00208720955097378 3,593,310 47,910.86	0.00176625598377513 4,246,270 56,616.93		0.00140964090910997 5,320,500 70,940.05	0.00131454355586592 5,705,400 76,072.03	0.00125114532036989 5,994,510 79,926.77	0.393215349200453 254.31
16	0.114427051786105 65,540 873.92	0.0766249203734509 97,880 1,305.06	0.0514234994316811 145,850 1,944.64	0.034622552137168 216,620 2,888.29	0.0234219206074925 320,210 4,269.5	0.0159548329210423 470,080 6,267.69	0.0109767744634087 683,260 9,110.14	0.00765806882498637 979,360 13,058.12	0.00544559839937148 1,377,260 18,363.45	0.00397061811562821 1,888,870 25,185.	0.00298729792646603 2,510,630 33,475.07	0.00233175113369124 3,216,470 42,886.22	0.00189471993850805 3,958,370 52,778.25	0.00160336580838593 4,677,660 62,368.8	0.00140912972163784 5,322,430 70,965.79		0.0011933118474733 6,285,030 83,800.39	0.00113576041436276 6,603,510 88,046.74	0.35708117385086 280.05
17	0.106681770026725 70,300 937.37	0.0714383706125445 104,990 1,399.81	0.0479427710030906 156,440 2,085.82	0.0322790379301214 232,350 3,097.99	0.0218365492148085 343,460 4,579.48	0.0148748900712667 504,210 6,722.74	0.0102337839755721 732,870 9,771.56	0.007139713245109 1,050,460 14,006.16	0.0050769994248003 1,477,250 19,696.67	0.00370185687792783 2,026,010 27,013.47	0.00278509518001284 2,692,910 35,905.42	0.00217392071473619 3,449,990 45,999.84	0.00176647107121842 4,245,750 56,610.04	0.00149483797553991 5,017,270 66,896.88	0.00131374924508757 5,708,850 76,118.03	0.001193023424786 6,286,550 83,820.65		0.00105888362445094 7,082,930 94,439.08	0.332991723617798 300.31
18	0.101520328551473 73,880 985.02	0.0679820634204943 110,320 1,470.98	0.0456232199998417 164,390 2,191.87	0.0307173243860733 244,160 3,255.49	0.020780060643561 360,920 4,812.31	0.0141552181485528 529,840 7,064.53	0.00973865648521401 770,130 10,268.36	0.00679428204298815 1,103,870 14,718.26	0.00483136574817091 1,552,360 20,698.08	0.00352275488495942 2,129,020 28,386.87	0.00265034764281842 2,829,820 37,730.9	0.00206874281472443 3,625,390 48,338.54	0.00168100626266176 4,461,610 59,488.18	0.00142251522795332 5,272,350 70,298.02	0.00125018787148102 5,999,100 79,987.98	0.00113530296716616 6,606,170 88,082.21	0.00105871303095625 7,084,070 94,454.3		0.31693209012909 315.53
合計 2着になる確率 Total Probability of finishing second	24.9656076474471 4.01	20.9327212123591 4.78	15.5467212655573 6.43	11.0527335122911 9.05	7.71903764457613 12.95	5.36203043303021 18.65	3.7349655406441 26.77	2.62660144728817 38.07	1.87749214817342 53.26	1.37364227968927 72.8	1.03579336082367 96.54	0.809702099163032 123.5	0.658595191968138 151.84	0.557689285990939 179.31	0.490344222585328 203.94	0.44541447757596 224.51	0.415446648394378 240.7	0.395461582442723 252.87

馬単(17頭) Exacta (17 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	合計 1着の確率 Total Probability of finishing first
1		10.109082245462 740 9.89	6.78427308727684 1,110 14.74	4.56773364848673 1,640 21.89	3.09004068929332 2,430 32.36	2.10491204983105 3,560 47.51	1.44815962352286 5,180 69.05	1.01032467265074 7,420 98.98	0.718434705402661 10,440 139.19	0.523841393903941 14,320 190.9	0.39411251957146 19,030 253.73	0.307626603349807 24,380 325.07	0.249969325868704 30,000 400.05	0.211531140881303 35,460 472.74	0.185905684223035 40,340 537.91	0.168822046450856 44,430 592.34	0.157432954602737 47,640 635.19	32.0322023907781 3.12
2	8.74719815546336 860 11.43		3.93098950252681 1,910 25.44	2.64666719507706 2,830 37.78	1.7904523234439 4,190 55.85	1.21964240902179 6,150 81.99	0.839102466073717 8,940 119.17	0.585409170775002 12,810 170.82	0.416280307242526 18,020 240.22	0.303527731554208 24,710 329.46	0.228359347761996 32,840 437.91	0.178247091900521 42,080 561.02	0.144838921326205 51,780 690.42	0.122566807609994 61,190 815.88	0.107718731799187 69,630 928.34	0.0978200145919818 76,670 1,022.29	0.0912208697871785 82,220 1,096.24	21.4500410459554 4.66
3	5.38652575589483 1,390 18.56	3.60703260891933 2,080 27.72		1.62981800116878 4,600 61.36	1.1025607724353 6,800 90.7	0.751055953279646 9,990 133.15	0.516719407175876 14,510 193.53	0.360495043106697 20,800 277.4	0.256345467060578 29,260 390.1	0.186912416363165 40,130 535.01	0.140623715898222 53,330 711.12	0.109764582254928 68,330 911.04	0.0891918264927313 84,090 1,121.18	0.0754766559846003 99,370 1,324.91	0.0663332089791797 113,070 1,507.54	0.0602375776422326 124,510 1,660.09	0.0561738234176012 133,510 1,780.19	14.3952668160737 6.95
4	3.43778053897238 2,180 29.09	2.30207504211992 3,260 43.44	1.54493804421829 4,850 64.73		0.70367471321647 10,660 142.11	0.479337824949319 15,650 208.62	0.329779899437885 22,740 303.23	0.230074615763595 32,600 434.64	0.163604426647402 45,840 611.23	0.119290967236607 62,870 838.29	0.0897486609627433 83,570 1,114.22	0.070053790113501 107,060 1,427.47	0.056923876214006 131,750 1,756.73	0.0481706002810094 155,700 2,075.96	0.042335082992345 177,160 2,362.11	0.0384447381332354 195,090 2,601.14	0.035851174893829 209,200 2,789.31	9.69208399615253 10.32
5	2.24759934748214 3,340 44.49	1.50508221914314 4,980 66.44	1.01007080025048 7,430 99.	0.680063187655371 11,030 147.05		0.313388062549695 23,930 319.09	0.215608029188181 34,790 463.8	0.150421340280505 49,860 664.8	0.106963547675387 70,120 934.9	0.0779916859386426 96,160 1,282.19	0.0586771114474793 127,820 1,704.24	0.0458007284533705 163,750 2,183.37	0.0372164731239646 201,520 2,686.98	0.0314936362376941 238,140 3,175.24	0.027678411646847 270,970 3,612.92	0.0251349285862823 298,390 3,978.53	0.0234392732125725 319,980 4,266.34	6.55662878287176 15.25
6	1.49754771444103 5,010 66.78	1.00281771297389 7,480 99.72	0.672997711995798 11,140 148.59	0.453117711343736 16,550 220.69	0.306531044242362 24,470 326.23		0.143656969685279 52,210 696.1	0.100223883136724 74,830 997.77	0.0712684921043533 105,240 1,403.14	0.0519648980827731 144,330 1,924.38	0.0390958354017197 191,840 2,557.82	0.0305164602810174 245,770 3,276.92	0.0247968768672158 302,460 4,032.77	0.0209838212580148 357,420 4,765.58	0.0184417841852141 406,690 5,422.47	0.016747092803347 447,840 5,971.19	0.0156172985487689 480,240 6,403.16	4.46632530735124 22.39
7	1.01548594918952 7,390 98.48	0.680009917081979 11,030 147.06	0.456359229010287 16,430 219.13	0.307258770295826 24,410 325.46	0.207858464486185 36,080 481.1	0.141591593946425 52,970 706.26		0.0679617377911351 110,360 1,471.42	0.0483271094830579 155,190 2,069.23	0.0352373572776731 212,840 2,837.9	0.0265108558074166 282,900 3,772.04	0.0206931881605789 362,440 4,832.51	0.0168147430626871 446,040 5,947.16	0.0142291129974259 527,090 7,027.84	0.0125053596205851 599,740 7,996.57	0.0113561907026912 660,430 8,805.77	0.010590078090762 708,210 9,442.8	3.07278965700423 32.54
8	0.701739071556875 10,690 142.5	0.469912486965902 15,960 212.81	0.31536143057192 23,780 317.1	0.212327392975932 35,320 470.97	0.143638034578607 52,210 696.19	0.09784512898039 76,650 1,022.02	0.0673165252482454 111,410 1,485.52		0.0333958544347514 224,580 2,994.38	0.0243503422178197 308,000 4,106.72	0.0183200007398652 409,390 5,458.52	0.0142997730878956 524,480 6,993.12	0.0116196213199158 645,460 8,606.13	0.00983285347459596 762,750 10,169.99	0.00864167491104939 867,890 11,571.83	0.00784755586868502 955,710 12,742.82	0.00731814317377543 1,024,850 13,664.67	2.14376589010622 46.65
9	0.495863269065661 15,130 201.67	0.332049833629367 22,590 301.16	0.222840876671838 33,660 448.75	0.150034905366819 49,990 666.51	0.101497591163472 73,890 985.25	0.069139381694575 108,480 1,446.35	0.0475672420486433 157,670 2,102.29	0.0331858156180222 226,000 3,013.34		0.017206452917332 435,880 5,811.77	0.0129452895304813 579,360 7,724.82	0.0101045139392475 742,240 9,896.57	0.00821066354509166 913,450 12,179.28	0.00694809661565442 1,079,430 14,392.43	0.00610638532936292 1,228,220 16,376.3	0.00554524447183526 1,352,510 18,033.47	0.00517115056681682 1,450,350 19,338.06	1.52441671217422 65.6
10	0.36004542545047 20,830 277.74	0.241100785394154 31,110 414.76	0.161804358689943 46,350 618.03	0.108940074220469 68,850 917.94	0.0736972179074859 101,770 1,356.9	0.0502019803654975 149,400 1,991.95	0.0345384886708385 217,150 2,895.32	0.0240961608743992 311,250 4,150.04	0.0171346090101063 437,710 5,836.14		0.00939955138311421 797,910 10,638.81	0.00733686934924966 1,022,230 13,629.79	0.00596174799333996 1,258,020 16,773.6	0.00504500042273349 1,486,620 19,821.6	0.00443383537566251 1,691,540 22,553.84	0.00402639201094852 1,862,710 24,836.13	0.0037547631011392 1,997,460 26,632.84	1.11151726021955 89.97
11	0.270128552263546 27,760 370.19	0.180888858750647 41,460 552.83	0.121395729742047 61,780 823.75	0.0817336437363143 91,760 1,223.49	0.0552922530658256 135,640 1,808.57	0.0376646592854999 199,130 2,655.01	0.025912930098616 289,430 3,859.08	0.0180784439740268 414,860 5,531.45	0.0128554532243006 583,410 7,778.8	0.00937345939114983 800,130 10,668.42		0.00550457735431564 1,362,500 18,166.7	0.00447287547782652 1,676,770 22,356.98	0.00378507422683377 1,981,470 26,419.56	0.00332654005950528 2,254,590 30,061.26	0.00302085061461961 2,482,740 33,103.26	0.0028170576513625 2,662,350 35,498.03	0.836250958916437 119.58
12	0.210460789104039 35,640 475.15	0.140932943347832 53,220 709.56	0.0945810461770273 79,300 1,057.29	0.0636797813964907 117,780 1,570.36	0.0430789382094663 174,100 2,321.32	0.0293450427514501 255,580 3,407.73	0.0201891124461059 371,490 4,953.16	0.0140851589092098 532,480 7,099.67	0.0100158565512791 748,810 9,984.17	0.00730298831265859 1,026,980 13,693.02	0.00549440948691159 1,365,020 18,200.32		0.00348487745830381 2,152,160 28,695.41	0.00294900225067508 2,543,230 33,909.77	0.00259175211225592 2,893,800 38,583.94	0.00235358535330981 3,186,630 42,488.37	0.00219480751401241 3,417,160 45,562.08	0.652740091381028 153.2
13	0.170804592216919 43,910 585.46	0.114377571332572 65,570 874.3	0.0767595574096735 97,710 1,302.77	0.0516808814610748 145,120 1,934.95	0.034961764162009 214,520 2,860.27	0.0238156859626318 314,920 4,198.91	0.016384967163047 457,740 6,103.16	0.0114311546299904 656,100 8,748.02	0.00812861294128609 922,670 12,302.22	0.00592691848214985 1,265,410 16,872.17	0.00445912217605902 1,681,950 22,425.94	0.0034805913053318 2,154,810 28,730.75		0.00239333478230156 3,133,700 41,782.7	0.0021033997094935 3,565,660 47,542.08	0.00191010966095479 3,926,480 52,353.02	0.00178124962859565 4,210,530 56,140.36	0.530399513024089 188.54
14	0.144421276913838 51,930 692.42	0.0967102505134952 77,550 1,034.02	0.0649028995799332 115,560 1,540.76	0.0436979989575586 171,630 2,288.43	0.0295613985426421 253,710 3,382.79	0.0201369982660312 372,450 4,965.98	0.0138540647482905 541,360 7,218.1	0.00966544240313011 775,960 10,346.14	0.00687302750635649 1,091,220 14,549.63	0.00501141757517408 1,496,580 19,954.43	0.00377034428771914 1,989,210 26,522.78	0.00294296209608251 2,548,450 33,979.37	0.00239137396832476 3,136,270 41,816.96		0.00177849827081615 4,217,040 56,227.21	0.00161506475148052 4,643,780 61,917.02	0.00150610907192343 4,979,720 66,396.25	0.448839127452796 222.8
15	0.126856403992069 59,120 788.29	0.084948110634927 88,290 1,177.19	0.0570092483968323 131,560 1,754.1	0.0383833402381024 195,400 2,605.3	0.0259660681322826 288,840 3,851.18	0.0176878867284027 424,020 5,653.59	0.0121690991258161 616,320 8,217.54	0.00848990739075831 883,400 11,778.69	0.00603711290071982 1,242,320 16,564.21	0.00440191657402749 1,703,800 22,717.38	0.00331178568956594 2,264,640 30,195.19	0.00258503176659157 2,901,320 38,684.24	0.00210052915127533 3,570,530 47,607.05	0.00177752740773116 4,219,340 56,257.92		0.00141863658157098 5,286,770 70,490.22	0.0013229323612616 5,669,220 75,589.65	0.394465537071934 253.51
16	0.115157138696508 65,130 868.38	0.077113815704599 97,260 1,296.78	0.0517516003766599 144,920 1,932.31	0.0348434568247004 215,250 2,869.98	0.0235713611233941 318,180 4,242.44	0.0160566306558566 467,100 6,227.96	0.0110468103441649 678,930 9,052.39	0.00770693013637045 973,150 12,975.33	0.00548034333117415 1,368,530 18,247.03	0.00399595212770994 1,876,900 25,025.32	0.00300635799206714 2,494,710 33,262.84	0.00234662856830527 3,196,070 42,614.33	0.00190680895246403 3,933,270 52,443.64	0.00161359587523653 4,648,000 61,973.39	0.0014181204904182 5,288,690 70,515.87		0.00120092561839783 6,245,180 83,269.1	0.358216476818026 279.16
17	0.107362356374873 69,860 931.43	0.0718941183917636 104,320 1,390.93	0.0482486264030237 155,440 2,072.6	0.0324849650771972 230,880 3,078.35	0.0219758575266461 341,280 4,550.45	0.0149697858262787 501,010 6,680.12	0.0102990713593671 728,220 9,709.61	0.00718526171475941 1,043,800 13,917.38	0.00510938861835426 1,467,890 19,571.81	0.00372547322075083 2,013,170 26,842.23	0.00280286295568187 2,675,840 35,677.81	0.0021877894456359 3,428,120 45,708.24	0.00177774043893859 4,218,840 56,251.18	0.00150437443447372 4,985,460 66,472.81	0.00132213043149713 5,672,660 75,635.5	0.00120063442951274 6,246,700 83,289.3		0.334050436648754 299.36
合計 2着になる確率 Total Probability of finishing second	25.034976337078 3.99	21.0160285203655 4.76	15.6142837492974 6.4	11.1024649542822 9.01	7.75435849152936 12.9	5.38679107409453 18.56	3.75230470633694 26.65	2.63883473915507 37.9	1.88625431413429 53.02	1.38006137117578 72.46	1.0406377710925 96.09	0.813491181426379 122.93	0.661678281260995 151.13	0.560300634740277 178.48	0.492640600136454 202.99	0.447500662653544 223.46	0.417392611240734 239.58

馬単(16頭) Exacta (16 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	合計 1着の確率 Total Probability of finishing first
1		10.1930620710179 740 9.81	6.8406325130446 1,100 14.62	4.60567947439571 1,630 21.71	3.11571078196311 2,410 32.1	2.12239832034138 3,530 47.12	1.46019001259356 5,140 68.48	1.01871780742835 7,360 98.16	0.724403003984871 10,350 138.04	0.528193135022554 14,200 189.32	0.397386555714343 18,870 251.64	0.310182169508869 24,180 322.39	0.252045912038553 29,760 396.75	0.213288407058342 35,160 468.85	0.187450070404868 40,010 533.48	0.170224512635885 44,060 587.46	32.1395647471529 3.11
2	8.81399955703699 850 11.35		3.96101004209536 1,890 25.25	2.66687950477759 2,810 37.5	1.80412581323241 4,160 55.43	1.22895668553563 6,100 81.37	0.845510600404435 8,870 118.27	0.589879876983642 12,710 169.53	0.419459394703113 17,880 238.4	0.305845739849427 24,520 326.96	0.230103303280303 32,590 434.59	0.179608345567553 41,760 556.77	0.14594504042572 51,390 685.19	0.123502836997832 60,730 809.7	0.108541368045906 69,100 921.31	0.0985670554112887 76,090 1,014.54	21.5219351643472 4.65
3	5.42575238032222 1,380 18.43	3.6333003220724 2,060 27.52		1.64168692401703 4,570 60.91	1.11059001786894 6,750 90.04	0.756525413770207 9,910 132.18	0.520482344371053 14,410 192.13	0.363120298104951 20,650 275.39	0.258212267260882 29,050 387.28	0.188273580031503 39,840 531.14	0.141647788545251 52,950 705.98	0.110563927554415 67,830 904.45	0.0898413535605254 83,480 1,113.07	0.0760263042312654 98,650 1,315.33	0.066816271345092 112,250 1,496.64	0.0606762494209764 123,610 1,648.09	14.4435154424767 6.92
4	3.46210934881462 2,170 28.88	2.31836658409225 3,240 43.13	1.55587140761067 4,820 64.27		0.708654544853355 10,580 141.11	0.482730048118071 15,540 207.16	0.332113716961215 22,580 301.1	0.231702829523312 32,370 431.59	0.164762237898043 45,520 606.94	0.12013517681453 62,430 832.4	0.0903838027588545 82,980 1,106.39	0.0705495533884044 106,310 1,417.44	0.0573267204747709 130,830 1,744.39	0.0485114985323486 154,600 2,061.37	0.0426346839040671 175,910 2,345.51	0.0387168074852128 193,710 2,582.86	9.72456896122973 10.28
5	2.2632234187056 3,310 44.18	1.51554472075198 4,950 65.98	1.01709225544957 7,370 98.32	0.68479061191463 10,950 146.03		0.315566563542473 23,770 316.89	0.217106817309898 34,550 460.6	0.151466986488181 49,520 660.21	0.107707099273703 69,630 928.44	0.0785338411307182 95,500 1,273.34	0.059085002368728 126,940 1,692.48	0.0461191098607346 162,620 2,168.3	0.0374751815220723 200,130 2,668.43	0.0317125626296307 236,500 3,153.32	0.0278708167013364 269,100 3,587.98	0.0253096527491402 296,330 3,951.06	6.5786046403984 15.2
6	1.50783947436028 4,970 66.32	1.00970948613422 7,430 99.04	0.677622827316847 11,070 147.57	0.456231721438599 16,440 219.19	0.308637650853101 24,300 324.		0.144644239091436 51,850 691.35	0.100912662621658 74,320 990.96	0.0717582783084734 104,520 1,393.57	0.0523220220996834 143,340 1,911.24	0.0393645179604902 190,530 2,540.36	0.0307261818676946 244,090 3,254.55	0.0249672911391643 300,390 4,005.24	0.0211280306534774 354,980 4,733.05	0.0185685236630194 403,910 5,385.46	0.0168621856693808 444,780 5,930.43	4.48129509317752 22.31
7	1.02241320432442 7,340 97.81	0.684648683569738 10,950 146.06	0.459472336399951 16,320 217.64	0.309354771620093 24,240 323.25	0.209276395100187 35,840 477.84	0.14255747742025 52,610 701.47		0.0684253466647648 109,610 1,461.45	0.048656778463302 154,140 2,055.21	0.0354777329956601 211,400 2,818.67	0.0266917026838989 280,990 3,746.48	0.0208343491427247 359,980 4,799.77	0.0169294467819419 443,020 5,906.87	0.0143261785414201 523,520 6,980.23	0.0125906663810722 595,680 7,942.39	0.0114336582741736 655,960 8,746.11	3.0830887283636 32.44
8	0.706502869733314 10,620 141.54	0.473102516336117 15,850 211.37	0.317502280737986 23,620 314.96	0.213768790339232 35,080 467.8	0.144613130073396 51,860 691.5	0.0985093565628389 76,130 1,015.13	0.0677735075558007 110,660 1,475.5		0.0336225642146472 223,060 2,974.19	0.0245156459903395 305,930 4,079.03	0.0184443671741345 406,630 5,421.71	0.0143968479633311 520,950 6,945.96	0.0116985018227955 641,110 8,548.1	0.00989960439577175 757,610 10,101.41	0.0087003394444226 862,040 11,493.8	0.0079008294768565 949,270 12,656.9	2.15095115182098 46.49
9	0.499218711988741 15,020 200.31	0.334296772117998 22,440 299.14	0.224348812204168 33,430 445.73	0.151050172261616 49,650 662.03	0.102184412299914 73,400 978.62	0.0696072389921125 107,750 1,436.63	0.0478891234535784 156,610 2,088.16	0.0334103797612223 224,480 2,993.08		0.0173228867697155 432,950 5,772.71	0.013032888638647 575,470 7,672.9	0.0101728898846014 737,250 9,830.05	0.00826622404857095 907,310 12,097.42	0.00699511349121732 1,072,180 14,295.69	0.00614770645298158 1,219,970 16,266.23	0.00558276842749108 1,343,420 17,912.26	1.52952610079257 65.38
10	0.362476654956787 20,690 275.88	0.242728833695873 30,900 411.98	0.162896952855263 46,040 613.89	0.109675698961524 68,380 911.78	0.074194863032364 101,090 1,347.8	0.0505409724129243 148,390 1,978.59	0.0347717119999644 215,690 2,875.9	0.0242588717246578 309,170 4,122.2	0.0172503115411201 434,770 5,797.		0.00946302244830042 792,560 10,567.45	0.00738641202354851 1,015,380 13,538.37	0.0060020050737139 1,249,580 16,661.1	0.00507906710715749 1,476,650 19,688.66	0.00446377512945322 1,680,190 22,402.56	0.00405358047765037 1,850,220 24,669.55	1.1152427334403 89.67
11	0.271950053662893 27,580 367.71	0.182108608779215 41,180 549.12	0.122214312190096 61,370 818.23	0.082284781130684 91,150 1,215.29	0.0556650937577424 134,730 1,796.46	0.0379186355091147 197,790 2,637.23	0.0260876633433629 287,490 3,833.23	0.018200348566195 412,080 5,494.4	0.0129421387147498 579,500 7,726.7	0.00943666548045296 794,770 10,596.96		0.00554169522012315 1,353,380 18,045.02	0.0045030364840352 1,665,540 22,207.24	0.00381059732664323 1,968,200 26,242.6	0.00334897122171525 2,239,490 29,859.92	0.0030412204850966 2,466,120 32,881.54	0.839053821872119 119.18
12	0.211878622477559 35,400 471.97	0.141882381156925 52,860 704.81	0.0952182202765025 78,770 1,050.22	0.064108779689554 116,990 1,559.85	0.0433691526315884 172,930 2,305.79	0.0295427345929446 253,870 3,384.93	0.0203251225671821 369,000 4,920.02	0.0141800478833405 528,910 7,052.16	0.010083331427446 743,800 9,917.36	0.00735218712351638 1,020,100 13,601.39	0.00553142425422996 1,355,890 18,078.53		0.00350835439946727 2,137,750 28,503.39	0.00296886910486389 2,526,210 33,682.86	0.00260921224179496 2,874,430 38,325.74	0.00236944099974902 3,165,300 42,204.05	0.654927880826664 152.69
13	0.171954555979587 43,620 581.55	0.115147632960232 65,130 868.45	0.0772763509473288 97,050 1,294.06	0.0520288296053934 144,150 1,922.01	0.0351971487107698 213,090 2,841.14	0.0239760281143541 312,810 4,170.83	0.0164952810500769 454,680 6,062.34	0.0115081163405588 651,710 8,689.52	0.00818333986754672 916,500 12,219.95	0.005966822218872 1,256,950 16,759.34	0.00448914378642219 1,670,700 22,275.96	0.00350402483145565 2,140,400 28,538.61		0.00240944821482617 3,112,750 41,503.28	0.0021175611170583 3,541,810 47,224.14	0.00192296971854639 3,900,220 52,002.9	0.532177253463028 187.91
14	0.145393210248193 51,580 687.79	0.0973610958616079 77,030 1,027.1	0.0653396862705512 114,780 1,530.46	0.0439920798765134 170,490 2,273.14	0.0297603422804882 252,010 3,360.18	0.0202725172164714 369,960 4,932.79	0.0139473005071269 537,740 7,169.85	0.00973048936756384 770,770 10,276.98	0.00691928194118849 1,083,930 14,452.37	0.00504514365693826 1,486,580 19,821.04	0.00379571813410477 1,975,910 26,345.48	0.00296276778554911 2,531,420 33,752.22	0.00240746755317867 3,115,310 41,537.42		0.0017904672949893 4,188,850 55,851.34	0.00162593389280546 4,612,730 61,503.12	0.45034350188727 222.05
15	0.127709893667831 58,730 783.02	0.0855196413824555 87,700 1,169.32	0.0573928065255387 130,680 1,742.38	0.0386415832875942 194,090 2,587.89	0.0261407677956312 286,910 3,825.44	0.0178068908009892 421,190 5,615.8	0.0122509728045611 612,200 8,162.62	0.00854702747360913 877,500 11,699.97	0.0060777305863078 1,234,010 16,453.51	0.00443153266144024 1,692,420 22,565.56	0.00333406737819521 2,249,500 29,993.4	0.00260242385603185 2,881,930 38,425.72	0.00211466150792294 3,546,670 47,288.89	0.00178948660918367 4,191,150 55,881.95		0.00142818116614004 5,251,430 70,019.13	0.395787667503431 252.66
16	0.115931773814211 64,690 862.58	0.0776325422931631 96,610 1,288.12	0.0520997212791315 143,950 1,919.4	0.0350778406031104 213,810 2,850.8	0.0237299201524297 316,060 4,214.09	0.0161646398519759 463,980 6,186.34	0.0111211196516734 674,390 8,991.9	0.00775877285147166 966,650 12,888.64	0.00551720831800387 1,359,380 18,125.11	0.00402283196235867 1,864,360 24,858.11	0.00302658105859521 2,478,040 33,040.58	0.00236241378941957 3,174,720 42,329.59	0.00191963560996914 3,906,990 52,093.22	0.00162445015700219 4,616,950 61,559.29	0.00142765985502422 5,253,350 70,044.7		0.359417111247539 278.23
合計 2着になる確率 Total Probability of finishing second	25.1083537300932 3.98	21.1044118922221 4.74	15.6859905252036 6.38	11.1552515639189 8.96	7.79185003460543 12.83	5.41307352278174 18.47	3.77070953366492 26.52	2.65181986178347 37.71	1.8955549665034 52.75	1.38687494380771 72.1	1.0457798861845 95.62	0.817513112244456 122.32	0.664950832442401 150.39	0.563072455050981 177.6	0.4950780932028 201.99	0.449715046290393 222.36

馬単(15頭) Exacta (15 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	合計 1着の確率 Total Probability of finishing first
1		10.2842997621433 730 9.72	6.90186274121143 1,090 14.49	4.64690472725687 1,610 21.52	3.14359938462049 2,390 31.81	2.14139582286291 3,500 46.7	1.47326011502452 5,090 67.88	1.02783630979893 7,300 97.29	0.730887106315197 10,260 136.82	0.532920970659378 14,070 187.65	0.400943546888832 18,710 249.41	0.312958597708468 23,960 319.53	0.254301964921559 29,490 393.23	0.215197543063619 34,850 464.69	0.189127928491659 39,660 528.74	32.2554965209671 3.1
2	8.8864915745489 840 11.25		3.99358794358926 1,880 25.04	2.68881364200002 2,790 37.19	1.8189641076072 4,120 54.98	1.23906441801198 6,050 80.71	0.852464624948502 8,800 117.31	0.59473142957285 12,610 168.14	0.422909299322415 17,730 236.46	0.308361212488792 24,320 324.3	0.231995821266377 32,330 431.04	0.181085560451433 41,420 552.23	0.147145386574804 50,970 679.6	0.124518603990385 60,230 803.09	0.109434082267439 68,530 913.79	21.5995677066404 4.63
3	5.46829575324436 1,370 18.29	3.66178906238068 2,050 27.31		1.65455940586548 4,530 60.44	1.11929816412809 6,700 89.34	0.762457336303168 9,840 131.15	0.524563451086552 14,300 190.63	0.365967527608807 20,490 273.25	0.260236911956978 28,820 384.27	0.189749834855759 39,530 527.01	0.142758450121612 52,540 700.48	0.111430860298848 67,310 897.42	0.090545800417005 82,830 1,104.41	0.0766224271624431 97,880 1,305.1	0.0673401783260685 111,370 1,485.	14.4956151637558 6.9
4	3.48848649529423 2,150 28.67	2.33602977402094 3,210 42.81	1.56772529317209 4,780 63.79		0.714053647784472 10,500 140.05	0.486407875681107 15,420 205.59	0.334644027612198 22,410 298.82	0.233468128899591 32,120 428.32	0.166017529757854 45,180 602.35	0.121050463663362 61,960 826.1	0.0910724196003676 82,350 1,098.03	0.0710870568917046 105,500 1,406.73	0.0577634817525959 129,840 1,731.2	0.0488810983265235 153,430 2,045.78	0.0429595093758085 174,580 2,327.77	9.75964680183284 10.25
5	2.28015955694496 3,290 43.86	1.52688583479598 4,910 65.49	1.02470335336333 7,320 97.59	0.689915032408227 10,870 144.95		0.31792800912478 23,590 314.54	0.218731469582528 34,290 457.18	0.152600443221026 49,150 655.31	0.108513092313358 69,120 921.55	0.0791215250415796 94,790 1,263.88	0.0595271468603939 125,990 1,679.91	0.0464642280729367 161,410 2,152.19	0.0377556155479653 198,650 2,648.61	0.031949873864651 234,740 3,129.9	0.0280793794091082 267,100 3,561.33	6.60233456055083 15.15
6	1.51899411645383 4,940 65.83	1.01717907963393 7,370 98.31	0.682635721753999 10,990 146.49	0.459606816500712 16,320 217.58	0.310920879665187 24,120 321.63		0.14571428318127 51,470 686.27	0.101659190785559 73,780 983.68	0.0722891291884186 103,750 1,383.33	0.0527090881236581 142,290 1,897.21	0.0396557274138178 189,130 2,521.7	0.0309534869405909 242,300 3,230.65	0.025151993291773 298,190 3,975.83	0.0212843308592277 352,370 4,698.29	0.0187058892375309 400,940 5,345.91	4.4974597330295 22.23
7	1.02992065625043 7,280 97.09	0.689675972983028 10,870 145.	0.462846184138092 16,200 216.05	0.311626324908135 24,070 320.9	0.210813085421496 35,580 474.35	0.143604259097071 52,230 696.36		0.0689277854032648 108,810 1,450.79	0.0490140590849165 153,020 2,040.23	0.035738241539351 209,860 2,798.12	0.026887696508974 278,940 3,719.17	0.0209873331553893 357,360 4,764.78	0.0170537575863328 439,790 5,863.81	0.0144313738736285 519,700 6,929.35	0.012683118065159 591,340 7,884.5	3.09420984801527 32.32
8	0.711665396188476 10,540 140.52	0.476559550074014 15,740 209.84	0.31982231933104 23,450 312.67	0.215330832169057 34,830 464.4	0.145669840727735 51,490 686.48	0.0992291797668532 75,580 1,007.77	0.0682687391262656 109,860 1,464.8		0.0338682495256128 221,450 2,952.62	0.0246947856321053 303,710 4,049.44	0.0185791430364337 403,680 5,382.38	0.0145020479726526 517,170 6,895.58	0.0117839845967986 636,460 8,486.09	0.00997194234622921 752,110 10,028.14	0.00876391417918296 855,780 11,410.43	2.15870992467246 46.32
9	0.502854881376609 14,910 198.86	0.336731696250541 22,270 296.97	0.225982906166495 33,190 442.51	0.152150379443798 49,290 657.24	0.102928694962 72,870 971.55	0.0701142386408012 106,970 1,426.24	0.0482379344266687 155,480 2,073.06	0.0336537316172471 222,860 2,971.44		0.0174490618290009 429,820 5,730.97	0.0131278165521352 571,310 7,617.41	0.0102469863675581 731,920 9,758.97	0.00832643291117333 900,750 12,009.94	0.00704606394025017 1,064,420 14,192.32	0.00619248462630139 1,211,150 16,148.61	1.53504330911058 65.14
10	0.365111229779174 20,540 273.89	0.244493050136236 30,680 409.01	0.164080930374277 45,710 609.46	0.110472850532971 67,890 905.2	0.0747341306387672 100,360 1,338.08	0.0509083173759646 147,320 1,964.32	0.0350244418674295 214,140 2,855.15	0.0244351915284061 306,930 4,092.46	0.0173756913023905 431,640 5,755.17		0.0095318021623732 786,840 10,491.2	0.00744009839170191 1,008,050 13,440.68	0.00604562921125439 1,240,570 16,540.88	0.00511598309095603 1,465,990 19,546.59	0.00449621901075713 1,668,070 22,240.91	1.11926556540266 89.34
11	0.273923874335793 27,380 365.06	0.183430357872036 40,890 545.17	0.123101346896198 60,930 812.34	0.0828820062456389 90,490 1,206.53	0.0560691124785997 133,760 1,783.51	0.0381938499672403 196,370 2,618.22	0.0262770082930007 285,420 3,805.61	0.0183324471768409 409,110 5,454.81	0.0130360730994011 575,330 7,671.02	0.00950515704777455 789,050 10,520.6		0.00558191699041171 1,343,620 17,914.99	0.00453571964178162 1,653,540 22,047.22	0.00383825474269489 1,954,010 26,053.51	0.00337327814330374 2,223,360 29,644.75	0.842080402930714 118.75
12	0.213415004222555 35,140 468.57	0.142911203686527 52,480 699.74	0.0959086699958426 78,200 1,042.66	0.064573647535386 116,150 1,548.62	0.0436836325617482 171,690 2,289.19	0.0297569559126564 252,040 3,360.56	0.0204725048132618 366,350 4,884.6	0.0142828707469988 525,100 7,001.39	0.0101564480361568 738,450 9,845.96	0.0074054995622621 1,012,760 13,503.48	0.00557153391299898 1,346,130 17,948.38		0.00353379430270662 2,122,360 28,298.19	0.00299039707329533 2,508,030 33,440.38	0.0026281322536878 2,853,740 38,049.84	0.657290294616084 152.14
13	0.173200662825539 43,300 577.36	0.11598207583329 64,670 862.2	0.07783635117179 96,360 1,284.75	0.0524058680641236 143,110 1,908.18	0.0354522126590126 211,550 2,820.7	0.024149775722272 310,560 4,140.83	0.0166148177644449 451,400 6,018.72	0.0115915124592269 647,030 8,627.	0.00824264225574815 909,900 12,132.03	0.00601006212009568 1,247,910 16,638.76	0.00452167536299403 1,658,680 22,115.7	0.00352941752492627 2,125,000 28,333.29		0.00242690881596208 3,090,350 41,204.68	0.00213290649357163 3,516,330 46,884.38	0.534096889072997 187.23
14	0.146446397832653 51,210 682.84	0.0980663522982453 76,480 1,019.72	0.0658129886086398 113,960 1,519.46	0.0443107461489029 169,260 2,256.79	0.0299759178424116 250,200 3,336.01	0.0204193656380841 367,300 4,897.31	0.0140483308351991 533,870 7,118.28	0.00980097429994238 765,230 10,203.07	0.00696940327643793 1,076,130 14,348.43	0.00508168926076829 1,475,890 19,678.5	0.00382321325032187 1,961,700 26,156.01	0.00298422924335758 2,513,210 33,509.49	0.00242490657204806 3,092,900 41,238.7		0.0018034369372597 4,158,730 55,449.68	0.451967952044272 221.25
15	0.128634732972528 58,300 777.4	0.0861389506889048 87,070 1,160.92	0.0578084291664892 129,740 1,729.85	0.038921414818212 192,700 2,569.28	0.0263300719193606 284,850 3,797.94	0.0179358433201264 418,160 5,575.43	0.0123396909206369 607,790 8,103.93	0.00860892265431052 871,190 11,615.86	0.00612174381009296 1,225,140 16,335.21	0.00446362458061458 1,680,250 22,403.32	0.00335821176096233 2,233,330 29,777.75	0.00262126988119417 2,861,210 38,149.45	0.00212997529468206 3,521,170 46,948.9	0.00180244557034065 4,161,010 55,480.18		0.397215327358455 251.75
合計 2着になる確率 Total Probability of finishing second	25.18760033227 3.97	21.2001727227976 4.72	15.763715178939 6.34	11.2124736938975 8.92	7.83249288301657 12.77	5.44156524742501 18.38	3.79066143948247 26.38	2.665896465773 37.51	1.90563737924498 52.48	1.3942612164045 71.72	1.05135420469859 95.12	0.821873089891173 121.67	0.66849844262248 149.59	0.566077246720206 176.65	0.497720456816837 200.92

馬単(14頭) Exacta (14 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	合計 1着の確率 Total Probability of finishing first
1		10.3862123455495 720 9.63	6.97025696138585 1,080 14.35	4.69295337194344 1,600 21.31	3.17475097898184 2,360 31.5	2.16261605034077 3,470 46.24	1.48785943124672 5,040 67.21	1.03802168518402 7,230 96.34	0.738129854475557 10,160 135.48	0.53820196733658 13,940 185.8	0.404916709243929 18,520 246.96	0.316059870515495 23,730 316.4	0.256821978029872 29,200 389.37	0.217330049706123 34,510 460.13	32.3841312539397 3.09
2	8.96736394788791 840 11.15		4.02993197569988 1,860 24.81	2.71328344978307 2,760 36.86	1.83551776583853 4,090 54.48	1.25034064320883 6,000 79.98	0.860222561455704 8,720 116.25	0.600143840286951 12,500 166.63	0.42675802617445 17,570 234.32	0.311167483432782 24,100 321.37	0.234107121605003 32,040 427.15	0.182733547053151 41,040 547.24	0.148484497351916 50,510 673.47	0.125651797551093 59,690 795.85	21.6857066573293 4.61
3	5.51572689796312 1,360 18.13	3.69355084974273 2,030 27.07		1.66891079616452 4,490 59.92	1.129006781877 6,640 88.57	0.769070772351981 9,750 130.03	0.529113432668637 14,170 189.	0.369141872879742 20,320 270.9	0.262494166353811 28,570 380.96	0.191395695336524 39,190 522.48	0.143996714658333 52,080 694.46	0.112397394206206 66,730 889.7	0.0913311805714539 82,120 1,094.92	0.0772870381482861 97,040 1,293.88	14.5534235929223 6.87
4	3.51788339669444 2,130 28.43	2.35571511235534 3,180 42.45	1.58093625612928 4,740 63.25		0.720070860322544 10,420 138.88	0.490506754774082 15,290 203.87	0.337464017741773 22,220 296.33	0.2354355263869 31,860 424.74	0.167416532150319 44,800 597.31	0.122070535992598 61,440 819.2	0.0918398718874503 81,660 1,088.85	0.071686095817352 104,620 1,394.97	0.0582502451039532 128,750 1,716.73	0.0492930112950206 152,150 2,028.69	9.79856821665105 10.21
5	2.29903047494502 3,260 43.5	1.53952255457996 4,870 64.96	1.03318394100326 7,260 96.79	0.695624865285459 10,780 143.76		0.320559225599013 23,400 311.95	0.220541721682628 34,010 453.43	0.153863385738371 48,740 649.93	0.109411161775533 68,550 913.98	0.0797763458003072 94,010 1,253.5	0.0600198018168236 124,960 1,666.12	0.0468487724945012 160,090 2,134.53	0.0380680862796196 197,020 2,626.87	0.0322142954696985 232,820 3,104.21	6.62866463247019 15.09
6	1.53142136253901 4,900 65.3	1.02550085955288 7,310 97.51	0.688220524228795 10,900 145.3	0.463366967346072 16,190 215.81	0.313464596090923 23,930 319.02		0.146906405807424 51,050 680.71	0.102490888398491 73,180 975.7	0.0728805434592028 102,910 1,372.11	0.053140313499677 141,140 1,881.81	0.0399801601933265 187,590 2,501.24	0.0312067246557594 240,330 3,204.44	0.0253577676307148 295,770 3,943.56	0.0214584629473517 349,510 4,660.17	4.51539557634962 22.15
7	1.03828388334868 7,220 96.31	0.695276323603491 10,790 143.83	0.4666046171067 16,070 214.31	0.314156812775507 23,870 318.31	0.212524943221378 35,290 470.53	0.144770363518625 51,810 690.75		0.0694874971822335 107,930 1,439.11	0.0494120661591957 151,780 2,023.8	0.0360284454771704 208,170 2,775.58	0.0271060316891536 276,690 3,689.22	0.0211577558304758 354,480 4,726.4	0.0171922385913572 436,240 5,816.58	0.0145485604319448 515,510 6,873.53	3.10654953893591 32.19
8	0.71741607399512 10,450 139.39	0.480410433428513 15,610 208.16	0.322406673050775 23,260 310.17	0.217070832798949 34,550 460.68	0.146846939297732 51,070 680.98	0.100031010296921 74,980 999.69	0.0688203909630468 108,980 1,453.06		0.0341419250365199 219,670 2,928.95	0.0248943341227794 301,270 4,016.98	0.0187292735136191 400,440 5,339.24	0.0146192331075122 513,020 6,840.3	0.0118792061701076 631,360 8,418.07	0.0100525215451712 746,080 9,947.75	2.16731884732677 46.14
9	0.506905158735563 14,800 197.28	0.339443923606537 22,090 294.6	0.227803100187186 32,920 438.98	0.153375884574285 48,900 651.99	0.103757740832351 72,280 963.78	0.0706789783377288 106,110 1,414.85	0.0486264700079804 154,240 2,056.49	0.0339247977881482 221,080 2,947.7		0.017589606432779 426,390 5,685.18	0.0132335554046806 566,740 7,556.55	0.0103295213859483 726,070 9,680.99	0.00839349870679344 893,550 11,913.98	0.0071028169206902 1,055,920 14,078.92	1.54116505292067 64.89
10	0.368045773613612 20,380 271.71	0.246458137798081 30,430 405.75	0.165399713921061 45,340 604.6	0.111360764669714 67,350 897.98	0.0753347985021488 99,560 1,327.41	0.0513174877237723 146,150 1,948.65	0.0353059472048547 212,430 2,832.38	0.0246315868589096 304,490 4,059.83	0.0175153466282795 428,200 5,709.28		0.00960841303869051 780,570 10,407.55	0.00749989741480012 1,000,010 13,333.52	0.00609422033220653 1,230,670 16,408.99	0.00515710227714413 1,454,310 19,390.73	1.12372918998327 88.99
11	0.276122396012947 27,160 362.16	0.18490257572456 40,560 540.83	0.124089362198969 60,440 805.87	0.0835472198485747 89,770 1,196.93	0.056519124948312 132,700 1,769.31	0.0385003950148035 194,800 2,597.38	0.0264879083924645 283,150 3,775.31	0.0184795839775718 405,850 5,411.38	0.01314070103431 570,750 7,609.94	0.00958144573880215 782,760 10,436.84		0.00562671763268231 1,332,930 17,772.35	0.00457212347105036 1,640,380 21,871.68	0.00386906069662905 1,938,450 25,846.07	0.845438614691676 118.28
12	0.21512627034299 34,860 464.84	0.144057135773122 52,060 694.17	0.0966777127265436 77,580 1,034.36	0.0650914306954912 115,220 1,536.3	0.0440339093414563 170,320 2,270.98	0.0299955617720997 250,040 3,333.83	0.0206366633925286 363,430 4,845.74	0.0143973978061479 520,930 6,945.7	0.0102378874152274 732,570 9,767.64	0.00746488048794707 1,004,700 13,396.06	0.00561620920309353 1,335,420 17,805.6		0.0035621299977007 2,105,480 28,073.09	0.00301437554292928 2,488,080 33,174.37	0.659911564497278 151.54
13	0.174588602564791 42,960 572.78	0.116911495671896 64,150 855.35	0.0784600910766337 95,590 1,274.53	0.0528258213464585 141,980 1,893.01	0.0357363081930084 209,870 2,798.27	0.0243432994240416 308,090 4,107.91	0.0167479602447305 447,820 5,970.88	0.0116844007918564 641,880 8,558.42	0.00830869448994029 902,670 12,035.59	0.00605822362199624 1,237,990 16,506.49	0.00455790971003354 1,645,490 21,939.88	0.00355770043539174 2,108,100 28,108.04		0.00244635679690085 3,065,780 40,877.11	0.536226864367679 186.49
14	0.147619454540867 50,810 677.42	0.0988518778838245 75,870 1,011.61	0.066340160112463 113,050 1,507.38	0.0446656815982221 167,910 2,238.86	0.0302160292553947 248,210 3,309.5	0.0205829276935099 364,380 4,858.4	0.0141608599855866 529,630 7,061.72	0.0098794815136378 759,150 10,121.99	0.00702522919900525 1,067,580 14,234.41	0.00512239432258354 1,464,160 19,522.12	0.00385383773830241 1,946,110 25,948.16	0.00300813334878165 2,493,240 33,243.21	0.00244433042243448 3,068,320 40,911.		0.453770397614613 220.38
合計 2着になる確率 Total Probability of finishing second	25.2755336931841 3.96	21.3068136252704 4.69	15.8503110888274 6.31	11.2762338988298 8.87	7.87778077670261 12.69	5.47331347005618 18.27	3.81289377079408 26.23	2.68158194479298 37.29	1.91687213435135 52.17	1.40249167160253 71.3	1.05756560970244 94.56	0.826731363898056 120.96	0.67245150265918 148.71	0.569425449328983 175.62

馬単(13頭) Exacta (13 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	13	合計 1着の確率 Total Probability of finishing first
1		10.5040494603576 710 9.52	7.04933824169037 1,060 14.19	4.74619742924559 1,580 21.07	3.21077022094907 2,340 31.15	2.18715208208472 3,430 45.72	1.50473998950849 4,980 66.46	1.04979859445766 7,140 95.26	0.74650433109045 10,050 133.96	0.544308155512307 13,780 183.72	0.409510705126878 18,310 244.19	0.319645738203259 23,460 312.85	0.25973576025418 28,880 385.01	32.5317507084805 3.07
2	9.06074061962446 830 11.04		4.07189543758258 1,840 24.56	2.74153672237141 2,740 36.48	1.85463091223063 4,040 53.92	1.26336037213678 5,940 79.15	0.869180012074215 8,630 115.05	0.606393105365836 12,370 164.91	0.431201834226917 17,390 231.91	0.314407653467637 23,850 318.06	0.236544866294784 31,710 422.75	0.184636341512882 40,620 541.61	0.150030658324948 49,990 666.53	21.7845585352131 4.59
3	5.57045202422373 1,350 17.95	3.73019697822977 2,010 26.81		1.68546914934758 4,450 59.33	1.140208394979 6,580 87.7	0.776701225399947 9,660 128.75	0.534363112347243 14,040 187.14	0.372804370312108 20,120 268.24	0.265098542288684 28,290 377.22	0.193294656939735 38,800 517.34	0.145425400040436 51,570 687.64	0.11351256210757 66,070 880.96	0.0922373368189921 81,310 1,084.16	14.6197637530348 6.84
4	3.55178701709102 2,110 28.15	2.3784183295816 3,150 42.04	1.59617253790865 4,700 62.65		0.727010547160931 10,320 137.55	0.495234016294872 15,140 201.92	0.340716329050833 22,010 293.5	0.237704537554807 31,550 420.69	0.169030009890789 44,370 591.61	0.123246991448111 60,850 811.38	0.0927249791529921 80,880 1,078.46	0.0723769709562462 103,620 1,381.65	0.0588116321584156 127,530 1,700.34	9.84323389824928 10.16
5	2.32078902867787 3,230 43.09	1.55409295048894 4,830 64.35	1.04296223169633 7,190 95.88	0.70220841916792 10,680 142.41		0.323593071914132 23,180 309.03	0.222628979313121 33,690 449.18	0.155319584245781 48,290 643.83	0.110446654200888 67,910 905.41	0.0805313675042921 93,130 1,241.75	0.0605878430398951 123,790 1,650.5	0.0472921600636303 158,590 2,114.52	0.0384283714127872 195,170 2,602.24	6.65888066172559 15.02
6	1.54574801689878 4,850 64.69	1.03509455905313 7,250 96.61	0.694658920489364 10,800 143.96	0.46770182811352 16,040 213.81	0.316397099862957 23,700 316.06		0.14828073514011 50,580 674.4	0.103449704547351 72,500 966.65	0.0735623508188449 101,950 1,359.39	0.0536374483331741 139,830 1,864.37	0.0403541800093936 185,850 2,478.06	0.0314986677935399 238,110 3,174.74	0.0255949929829708 293,030 3,907.01	4.53597850404313 22.05
7	1.04792441345427 7,160 95.43	0.701732007291646 10,690 142.5	0.470937069849894 15,930 212.34	0.31707377822206 23,650 315.38	0.21449825047017 34,970 466.2	0.146114565302244 51,330 684.39		0.0701326928934366 106,940 1,425.87	0.0498708602510881 150,390 2,005.18	0.0363629718228557 206,250 2,750.05	0.0273577128707008 274,150 3,655.28	0.0213542069025975 351,220 4,682.92	0.0173518695905287 432,230 5,763.07	3.12071039892149 32.04
8	0.724044620137251 10,360 138.11	0.484849172453984 15,470 206.25	0.325385540665138 23,050 307.33	0.219076452805908 34,230 456.46	0.148203727566422 50,610 674.75	0.100955244073431 74,290 990.54	0.0694562550781031 107,980 1,439.76		0.0344573784166282 217,660 2,902.14	0.0251243446402349 298,520 3,980.2	0.0189023221226393 396,780 5,290.36	0.0147543071109089 508,330 6,777.68	0.0119889637697554 625,580 8,341.	2.1771983288404 45.93
9	0.511573534824138 14,660 195.48	0.342570054538661 21,890 291.91	0.229901067681677 32,620 434.97	0.15478840977702 48,450 646.04	0.10471330450725 71,620 954.99	0.0713299009940691 105,150 1,401.94	0.0490742986519486 152,830 2,037.73	0.0342372304238684 219,060 2,920.8		0.0177515990593348 422,500 5,633.3	0.0133554306954591 561,570 7,487.59	0.0104246517862087 719,450 9,592.65	0.00847079918004177 885,390 11,805.26	1.54819028211968 64.59
10	0.371428054755782 20,190 269.23	0.24872304822926 30,150 402.05	0.166919710544912 44,930 599.09	0.11238415208868 66,740 889.81	0.0760271131178586 98,650 1,315.32	0.0517890871373112 144,820 1,930.91	0.0356304031502794 210,490 2,806.59	0.024857947158925 301,710 4,022.86	0.0176763098313554 424,300 5,657.29		0.00969671280072243 773,460 10,312.77	0.00756882025922032 990,910 13,212.1	0.00615022523155224 1,219,470 16,259.57	1.12885158430586 88.59
11	0.278656310423105 26,910 358.87	0.186599385935789 40,190 535.91	0.125228102944245 59,890 798.54	0.0843139142832159 88,950 1,186.04	0.0570377885091964 131,490 1,753.22	0.0388537046598501 193,030 2,573.76	0.0267309820936193 280,570 3,740.98	0.0186491670494653 402,160 5,362.17	0.0132612903533627 565,560 7,540.74	0.009669372555961 775,640 10,341.93		0.00567835278107018 1,320,810 17,610.74	0.00461408084109929 1,625,460 21,672.79	0.849292452429979 117.75
12	0.217098572702882 34,550 460.62	0.145377868142961 51,590 687.86	0.0975640651030132 76,870 1,024.97	0.0656881964097148 114,180 1,522.34	0.0444376172808491 168,780 2,250.35	0.0302705645282721 247,770 3,303.54	0.0208258626932207 360,130 4,801.72	0.0145293948031864 516,190 6,882.6	0.0103317495431636 725,920 9,678.9	0.007533319369815 995,580 13,274.36	0.00566769925424929 1,323,290 17,643.84		0.00359478801473184 2,086,350 27,818.05	0.662919697846059 150.85
13	0.176188245554924 42,570 567.57	0.117982680455841 63,570 847.58	0.0791789703897856 94,720 1,262.96	0.0533098303457488 140,690 1,875.83	0.0360637369830576 207,970 2,772.87	0.0245663414079302 305,300 4,070.61	0.0169014110245119 443,750 5,916.67	0.0117914574355663 636,050 8,480.72	0.00838482170960262 894,470 11,926.31	0.00611373122562683 1,226,750 16,356.62	0.0045996709029763 1,630,550 21,740.69	0.00359029735454261 2,088,960 27,852.85		0.538671194790113 185.64
合計 2着になる確率 Total Probability of finishing second	25.3764304583682 3.94	21.4296864947591 4.67	15.950141896546 6.27	11.3497482821784 8.81	7.92999871361739 12.61	5.50992017593356 18.15	3.83852837012569 26.05	2.69966778624799 37.04	1.92982613262177 51.82	1.41198161187909 70.82	1.06472752231113 93.92	0.832333076831676 120.14	0.677009478580002 147.71

馬単(12頭) Exacta (12 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	12	合計 1着の確率 Total Probability of finishing first
1		10.6459360864428 700 9.39	7.14455931076682 1,050 14.	4.81030812698284 1,560 20.79	3.25414067112685 2,300 30.73	2.21669570055619 3,380 45.11	1.52506572017575 4,920 65.57	1.06397906658879 7,050 93.99	0.756587964197489 9,910 132.17	0.551660562603285 13,600 181.27	0.415042294873815 18,070 240.94	0.323963449720836 23,150 308.68	32.7079389540354 3.06
2	9.17298708782155 820 10.9		4.12233898308553 1,820 24.26	2.77549948848926 2,700 36.03	1.87760649209175 3,990 53.26	1.27901116116008 5,860 78.19	0.879947607205624 8,520 113.64	0.613905237902657 12,220 162.89	0.436543658367346 17,180 229.07	0.318302605343805 23,560 314.17	0.239475236661445 31,320 417.58	0.186923657539871 40,120 534.98	21.9025412156689 4.57
3	5.63618009713298 1,330 17.74	3.77421111889281 1,990 26.5		1.70535669862596 4,400 58.64	1.1536621865548 6,500 86.68	0.785865845174031 9,540 127.25	0.540668284253516 13,870 184.96	0.377203243639839 19,880 265.11	0.268226549897387 27,960 372.82	0.195575420735753 38,350 511.31	0.147141334627997 50,970 679.62	0.114851943889493 65,300 870.69	14.6989427234246 6.8
4	3.59248758622321 2,090 27.84	2.40567305493044 3,120 41.57	1.61446336740193 4,650 61.94		0.735341492370249 10,200 135.99	0.500908992361801 14,970 199.64	0.344620659022836 21,760 290.17	0.240428436796859 31,190 415.92	0.170966955312874 43,870 584.91	0.124659300990218 60,160 802.19	0.09378753144178 79,970 1,066.24	0.0732063517428216 102,450 1,366.	9.89654372859502 10.1
5	2.3469021188879 3,200 42.61	1.57157931780171 4,770 63.63	1.05469745041091 7,110 94.81	0.710109538817052 10,560 140.82		0.327234081490538 22,920 305.59	0.225133959536801 33,310 444.18	0.157067211567643 47,750 636.67	0.111689379588205 67,150 895.34	0.081437491601912 92,100 1,227.94	0.0612695662777171 122,410 1,632.13	0.0478242827282538 156,820 2,090.99	6.69494439870865 14.94
6	1.56293874646082 4,800 63.98	1.0466061576069 7,170 95.55	0.702384431704285 10,680 142.37	0.472903281102542 15,860 211.46	0.319915847368046 23,440 312.58		0.149929809885274 50,020 666.98	0.104600199889868 71,700 956.02	0.0743804598929306 100,830 1,344.44	0.054233966561639 138,290 1,843.86	0.0408029710074446 183,810 2,450.8	0.031848973971315 235,490 3,139.82	4.56054484545106 21.93
7	1.059490865947 7,080 94.38	0.709477365468968 10,570 140.95	0.476135031816948 15,750 210.02	0.320573476048934 23,400 311.94	0.216865772203592 34,580 461.11	0.147727302973363 50,770 676.92		0.0709067816064431 105,770 1,410.3	0.050421309241931 148,750 1,983.29	0.0367643276655896 204,000 2,720.03	0.027659673281362 271,150 3,615.37	0.021589903691877 347,380 4,631.79	3.13761180994601 31.87
8	0.731996777705048 10,250 136.61	0.490174254512102 15,300 204.01	0.328959239050138 22,800 303.99	0.221482562075495 33,860 451.5	0.1498314440924 50,060 667.42	0.10206403210367 73,480 979.78	0.0702190907778497 106,810 1,424.11		0.0348358226380496 215,300 2,870.61	0.0254002844674362 295,270 3,936.96	0.0191099256870273 392,470 5,232.88	0.0149163531667547 502,800 6,704.05	2.18898978627597 45.68
9	0.517173833875825 14,500 193.36	0.346320238277601 21,660 288.75	0.232417841212118 32,270 430.26	0.156482909835129 47,930 639.05	0.10585962225047 70,850 944.65	0.0721107638606975 104,010 1,386.76	0.0496115249341823 151,170 2,015.66	0.0346120323165056 216,690 2,889.17		0.0179459294079758 417,920 5,572.29	0.0135016352990346 555,490 7,406.51	0.0105387725597404 711,660 9,488.77	1.55657510382928 64.24
10	0.375485391512063 19,970 266.32	0.251440002839429 29,830 397.71	0.168743077057673 44,450 592.62	0.113611793203169 66,010 880.19	0.0768576039668331 97,580 1,301.11	0.0523548111426091 143,250 1,910.04	0.0360196159264598 208,220 2,776.27	0.0251294857823602 298,450 3,979.39	0.0178693990196272 419,710 5,596.16		0.00980263594992382 765,100 10,201.34	0.00765149913133625 980,200 13,069.33	1.13496531553148 88.11
11	0.281695893479232 26,620 354.99	0.18863481205233 39,760 530.12	0.126594091101062 59,240 789.93	0.0852336104668834 87,990 1,173.25	0.0576599567107644 130,070 1,734.31	0.0392775208733517 190,950 2,545.99	0.0270225636484099 277,550 3,700.61	0.0188525921651154 397,820 5,304.31	0.0134059445095857 559,450 7,459.38	0.00977484607256592 767,280 10,230.34		0.00574029225365505 1,306,550 17,420.72	0.853892123332955 117.11
12	0.219464434746252 34,170 455.65	0.146962143782839 51,030 680.45	0.0986272831405631 76,040 1,013.92	0.0664040427123794 112,940 1,505.93	0.0449218824269237 166,960 2,226.09	0.0306004422366198 245,090 3,267.93	0.0210528154430839 356,250 4,749.96	0.01468773091406 510,630 6,808.4	0.0104443412280441 718,090 9,574.56	0.00761541477070009 984,840 13,131.26	0.00572946379913745 1,309,020 17,453.64		0.666509995200602 150.04
合計 2着になる確率 Total Probability of finishing second	25.4968028337919 3.92	21.5770145526079 4.63	16.069920106748 6.22	11.4379655283597 8.74	7.99266297116268 12.51	5.55385065393295 18.01	3.86929165080979 25.84	2.72137201917014 36.75	1.94537178389347 51.4	1.42337015022088 70.26	1.07332226890668 93.17	0.839055480395953 119.18

馬単(11頭) Exacta (11 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	11	合計 1着の確率 Total Probability of finishing first
1		10.8245830386941 690 9.24	7.2644504819784 1,030 13.77	4.89102877750126 1,530 20.45	3.30874764118317 2,270 30.22	2.25389355030444 3,330 44.37	1.55065748971862 4,840 64.49	1.08183344932808 6,930 92.44	0.769284089067714 9,750 129.99	0.560917848894138 13,370 178.28	0.422007022111754 17,770 236.96	32.9274033887817 3.04
2	9.31402522022288 810 10.74		4.18572149804312 1,790 23.89	2.81817383879519 2,660 35.48	1.90647539929656 3,930 52.45	1.29867643963081 5,780 77.	0.893477133186978 8,390 111.92	0.623344262224423 12,030 160.42	0.443255681582719 16,920 225.6	0.323196627821584 23,210 309.41	0.243157258647493 30,840 411.26	22.0495033594518 4.54
3	5.71868146034628 1,310 17.49	3.82945732412352 1,960 26.11		1.73031939498713 4,330 57.79	1.17054928055076 6,410 85.43	0.797369204259844 9,410 125.41	0.548582486732567 13,670 182.29	0.382724675047716 19,600 261.28	0.272152800591149 27,560 367.44	0.198438217620104 37,800 503.94	0.149295162306074 50,240 669.81	14.7975700065651 6.76
4	3.64354443073004 2,060 27.45	2.43986275556319 3,070 40.99	1.63740830545196 4,580 61.07		0.745792249772819 10,060 134.09	0.508027968258382 14,760 196.84	0.349518447248756 21,460 286.11	0.243845433242339 30,760 410.1	0.173396757238061 43,250 576.71	0.126430973235209 59,320 790.95	0.0951204505666408 78,850 1,051.3	9.9629477713074 10.04
5	2.37964805513149 3,150 42.02	1.59350730351884 4,710 62.75	1.06941346911041 7,010 93.51	0.720017579504787 10,420 138.89		0.331799924387428 22,600 301.39	0.228275216356133 32,860 438.07	0.159258744335269 47,090 627.91	0.113247762988027 66,230 883.02	0.0825737754231982 90,830 1,211.04	0.0621244503799793 120,730 1,609.67	6.73986628113557 14.84
6	1.58449122316828 4,730 63.11	1.06103855611566 7,070 94.25	0.712070111413914 10,530 140.44	0.47942448161275 15,640 208.58	0.32432739507864 23,120 308.33		0.151997298929629 49,340 657.91	0.106042606623226 70,730 943.02	0.0754061450856246 99,460 1,326.15	0.05498183739389 136,410 1,818.78	0.0413656322660669 181,310 2,417.47	4.59114528768768 21.78
7	1.07398998462519 6,980 93.11	0.719186553959454 10,430 139.05	0.482650933515628 15,540 207.19	0.32496051988641 23,080 307.73	0.219833577466932 34,120 454.89	0.14974894918728 50,080 667.78		0.0718771399876659 104,340 1,391.26	0.0511113242011022 146,740 1,956.51	0.0372674470100598 201,250 2,683.31	0.0280381955493649 267,490 3,566.56	3.15866462538909 31.66
8	0.741964285620857 10,110 134.78	0.496848895590841 15,100 201.27	0.333438635570831 22,490 299.91	0.224498462224157 33,410 445.44	0.151871679993042 49,380 658.45	0.103453825172298 72,500 966.61	0.0711752552918021 105,370 1,404.98		0.0353101776468067 212,400 2,832.04	0.0257461569414746 291,310 3,884.07	0.0193701431379199 387,190 5,162.58	2.20367751719003 45.38
9	0.524193020414197 14,310 190.77	0.351020565701876 21,370 284.88	0.235572262560328 31,840 424.5	0.158606727132629 47,290 630.49	0.107296370180831 69,900 932.	0.0730894655462979 102,610 1,368.19	0.0502848624566095 149,150 1,988.67	0.0350817937301506 213,790 2,850.48		0.0181894951451962 412,330 5,497.68	0.0136848821892083 548,050 7,307.33	1.56701944505732 63.82
10	0.380570491206834 19,710 262.76	0.254845188528659 29,430 392.4	0.171028320076543 43,850 584.7	0.115150407775132 65,130 868.43	0.0778984662408584 96,280 1,283.72	0.0530638385513426 141,340 1,884.52	0.0365074200916653 205,440 2,739.17	0.0254698077852137 294,470 3,926.22	0.0181113995809127 414,100 5,521.38		0.00993539046502272 754,880 10,065.03	1.14258073030218 87.52
11	0.285505333087667 26,270 350.26	0.191185764839346 39,230 523.05	0.128306052673799 58,450 779.39	0.0863862445634341 86,820 1,157.59	0.0584397058231909 128,340 1,711.17	0.0398086799963622 188,400 2,512.01	0.0273879961118097 273,840 3,651.23	0.0191075401887747 392,520 5,233.54	0.0135872362400847 551,990 7,359.85	0.00990703360762466 757,040 10,093.84		0.859621587132092 116.33
合計 2着になる確率 Total Probability of finishing second	25.6466135045537 3.9	21.7615359466355 4.6	16.2200600703949 6.17	11.5485664339829 8.66	8.0712317655868 12.39	5.60893184529449 17.83	3.90786360612457 25.59	2.74858545249286 36.38	1.9648633742222 50.89	1.43764941309248 69.56	1.08409858761952 92.24

馬単(10頭) Exacta (10 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	10	合計 1着の確率 Total Probability of finishing first
1		11.0601908791083 680 9.04	7.42256848834747 1,010 13.47	4.99748689450692 1,500 20.01	3.38076583194655 2,220 29.58	2.30295179023964 3,260 43.42	1.58440909576836 4,730 63.12	1.10538063278751 6,780 90.47	0.786028324133613 9,540 127.22	0.573126785031013 13,090 174.48	33.2129087218694 3.01
2	9.4995437778154 790 10.53		4.26909350922416 1,760 23.42	2.87430677093317 2,610 34.79	1.94444894540584 3,860 51.43	1.32454372838762 5,660 75.5	0.911273583708805 8,230 109.74	0.635760153922929 11,800 157.29	0.452084534065679 16,590 221.2	0.329634120827512 22,750 303.37	22.2406891242911 4.5
3	5.82705687918252 1,290 17.16	3.90202982956821 1,920 25.63		1.76311088555231 4,250 56.72	1.1927325004814 6,290 83.84	0.812480243767463 9,230 123.08	0.558978739291504 13,420 178.9	0.389977736307532 19,230 256.42	0.277310400984883 27,050 360.61	0.202198844103118 37,090 494.56	14.9258760592389 6.7
4	3.71056300398693 2,020 26.95	2.48474106675966 3,020 40.25	1.66752644194149 4,500 59.97		0.759510192143514 9,870 131.66	0.517372525530722 14,500 193.28	0.355947414455526 21,070 280.94	0.24833067373873 30,200 402.69	0.176586179927532 42,470 566.3	0.128756517386733 58,250 776.66	10.0493340158708 9.95
5	2.42261171966043 3,100 41.28	1.62227748785983 4,620 61.64	1.08872133332609 6,890 91.85	0.733017230303599 10,230 136.42		0.337790449167498 22,200 296.04	0.232396640864537 32,270 430.3	0.162134101995897 46,260 616.77	0.115292409416803 65,050 867.36	0.0840646143640743 89,220 1,189.56	6.79830598695876 14.71
6	1.61276072082918 4,650 62.01	1.07996893991435 6,940 92.6	0.724774419304469 10,350 137.97	0.487978072231212 15,370 204.93	0.330113840849042 22,720 302.93		0.154709139313296 48,480 646.37	0.107934552237098 69,490 926.49	0.0767514941862986 97,720 1,302.91	0.0559627888190992 134,020 1,786.9	4.63095396768405 21.59
7	1.09300444580863 6,860 91.49	0.731919395987475 10,250 136.63	0.49119602944004 15,270 203.58	0.330713785075084 22,680 302.38	0.223725622165113 33,520 446.98	0.152400180225132 49,210 656.17		0.0731496891807094 102,530 1,367.06	0.0520162249021967 144,190 1,922.48	0.0379272487165215 197,750 2,636.63	3.1860526215009 31.39
8	0.755034363193719 9,930 132.44	0.50560114112774 14,830 197.78	0.339312326417087 22,100 294.71	0.228453116609985 32,830 437.73	0.154546976738584 48,530 647.05	0.105276216824316 71,240 949.88	0.0724290435481381 103,550 1,380.66		0.0359321843523844 208,730 2,783.02	0.0261996885668501 286,260 3,816.84	2.2227850573788 44.99
9	0.533396352699644 14,060 187.48	0.357183484282186 21,000 279.97	0.239708238670548 31,290 417.17	0.161391408262789 46,470 619.61	0.10918018799095 68,690 915.92	0.0743727078097237 100,840 1,344.58	0.0511677210222396 146,580 1,954.36	0.0356977298305835 210,100 2,801.3		0.0185088507287434 405,210 5,402.82	1.58060668129741 63.27
10	0.387237574724034 19,370 258.24	0.259309733718406 28,920 385.64	0.174024506381322 43,100 574.63	0.117167688156598 64,010 853.48	0.0792631426734496 94,620 1,261.62	0.0539934456846837 138,910 1,852.08	0.0371469810255064 201,900 2,692.01	0.0259160045860549 289,400 3,858.62	0.0184286869597539 406,970 5,426.32		1.15248776390981 86.77
合計 2着になる確率 Total Probability of finishing second	25.8412088379005 3.87	22.0032219583262 4.54	16.4169252930527 6.09	11.6936258516317 8.55	8.17428724039444 12.23	5.6811812876368 17.6	3.95845835899791 25.26	2.78428127458705 35.92	1.99043043892914 50.24	1.45637945854366 68.66

馬単(9頭) Exacta (9 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	9	合計 1着の確率 Total Probability of finishing first
1		11.3856162496864 660 8.78	7.64096364331033 980 13.09	5.14452857239296 1,460 19.44	3.48023852511472 2,160 28.73	2.37071182692922 3,160 42.18	1.63102736147222 4,600 61.31	1.13790438450089 6,590 87.88	0.809155733186672 9,270 123.59	33.6001462965934 2.98
2	9.75488054402998 770 10.25		4.38384181259623 1,710 22.81	2.95156481754723 2,540 33.88	1.99671348751456 3,760 50.08	1.36014593415945 5,510 73.52	0.935767565256042 8,010 106.86	0.65284865265377 11,490 153.17	0.464236044252256 16,160 215.41	22.4999988580095 4.44
3	5.97595139992737 1,260 16.73	4.00173554266692 1,870 24.99		1.80816236793309 4,150 55.3	1.22320952133741 6,130 81.75	0.833240956940282 9,000 120.01	0.573261914008865 13,080 174.44	0.399942552054588 18,750 250.04	0.284396310751736 26,370 351.62	15.0999005656203 6.62
4	3.80254527608887 1,970 26.3	2.54633606694157 2,950 39.27	1.70886326084337 4,390 58.52		0.778337920734264 9,640 128.48	0.530197830038502 14,150 188.61	0.364771102907993 20,560 274.14	0.254486618154321 29,470 392.95	0.18096362831854 41,440 552.6	10.1665017040274 9.84
5	2.48154313370819 3,020 40.3	1.66174031451156 4,510 60.18	1.11520510171381 6,730 89.67	0.750848293181977 9,990 133.18		0.346007394813273 21,680 289.01	0.238049821914951 31,510 420.08	0.166078106649404 45,160 602.13	0.118096963139039 63,510 846.76	6.87756912963221 14.54
6	1.65152212802865 4,540 60.55	1.10592512504595 6,780 90.42	0.742193789724142 10,110 134.74	0.499706232842939 15,010 200.12	0.338047861588803 22,190 295.82		0.158427449084209 47,340 631.2	0.110528672416317 67,860 904.74	0.0785961546377223 95,420 1,272.33	4.68494741336873 21.34
7	1.11906962973779 6,700 89.36	0.74937368334275 10,010 133.44	0.502909719079389 14,910 198.84	0.338600409570481 22,150 295.33	0.229060869897876 32,740 436.57	0.15603451011614 48,070 640.88		0.0748941103586543 100,140 1,335.22	0.0532566704233249 140,830 1,877.7	3.22319960252641 31.03
8	0.772948139617253 9,700 129.37	0.517596920714956 14,490 193.2	0.347362774780091 21,590 287.88	0.233873344156848 32,070 427.58	0.158213723741353 47,400 632.06	0.107773976797689 69,590 927.87	0.0741474788352468 101,150 1,348.66		0.0367847033214219 203,890 2,718.52	2.24870106196486 44.47
9	0.546009101719068 13,740 183.15	0.365629484368864 20,510 273.5	0.245376406135395 30,570 407.54	0.165207687313082 45,400 605.3	0.111761874764873 67,110 894.76	0.0761313330660671 98,510 1,313.52	0.0523776386001966 143,190 1,909.21	0.0365418422896162 205,240 2,736.59		1.59903536825716 62.54
合計 2着になる確率 Total Probability of finishing second	26.1044693528572 3.83	22.3339533872789 4.48	16.6867165081828 5.99	11.8924917249386 8.41	8.31558378469385 12.03	5.78024376286063 17.3	4.02783033207973 24.83	2.83322493907756 35.3	2.02548620803071 49.37

馬単(8頭) Exacta (8 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	8	合計 1着の確率 Total Probability of finishing first
1		11.8561536290153 630 8.43	7.95674444335005 940 12.57	5.35713831957318 1,400 18.67	3.6240675703886 2,070 27.59	2.46868707093222 3,040 40.51	1.69843340462796 4,420 58.88	1.18493096042512 6,330 84.39	34.1461553983125 2.93
2	10.1222487702959 740 9.88		4.54893703684371 1,650 21.98	3.06272057458978 2,450 32.65	2.07190959975383 3,620 48.26	1.4113689498632 5,310 70.85	0.971008516602772 7,720 102.99	0.677434894429156 11,070 147.62	22.8656283423784 4.37
3	6.18963943609965 1,210 16.16	4.14482957944301 1,810 24.13		1.8728186276023 4,000 53.4	1.26694904044478 5,920 78.93	0.863035982339761 8,690 115.87	0.59376061026975 12,630 168.42	0.41424369555641 18,110 241.4	15.3452769717557 6.52
4	3.93436912884395 1,910 25.42	2.63461057950667 2,850 37.96	1.76810487994848 4,240 56.56		0.805320769328272 9,310 124.17	0.548578339829551 13,670 182.29	0.377416720163736 19,870 264.96	0.263308973719859 28,480 379.78	10.3317093913405 9.68
5	2.5659291045167 2,920 38.97	1.718248528198 4,360 58.2	1.15312814398553 6,500 86.72	0.776381221177224 9,660 128.8		0.357773529167991 20,960 279.51	0.246144811298862 30,470 406.26	0.171725666052776 43,670 582.32	6.98933100439708 14.31
6	1.70699680970273 4,390 58.58	1.14307318575072 6,560 87.48	0.767124103116049 9,780 130.36	0.516491381359601 14,520 193.61	0.349402900188635 21,470 286.2		0.163749032220896 45,800 610.69	0.114241334096165 65,650 875.34	4.7610787464348 21.
7	1.1563611992135 6,490 86.48	0.774345606476964 9,690 129.14	0.519668544652605 14,430 192.43	0.349883836769699 21,440 285.81	0.236694031514428 31,690 422.49	0.161234161344248 46,520 620.22		0.0773898611551581 96,910 1,292.16	3.2755772411266 30.53
8	0.79857190101905 9,390 125.22	0.534755613929836 14,030 187.	0.358878089203694 20,900 278.65	0.241626406052932 31,040 413.86	0.163458617285758 45,880 611.78	0.111346758107641 67,360 898.1	0.0766055186555638 97,900 1,305.39		2.28524290425448 43.76
合計 2着になる確率 Total Probability of finishing second	26.4741163496915 3.78	22.8060167223205 4.38	17.0725852411001 5.86	12.1770603671247 8.21	8.5178025289043 11.74	5.9220247915846 16.89	4.12711861383954 24.23	2.90327538543465 34.44

馬単(7頭) Exacta (7 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	7	合計 1着の確率 Total Probability of finishing first
1		12.5696196804113 600 7.96	8.43555630911994 890 11.85	5.67951406159239 1,320 17.61	3.84215256324069 1,950 26.03	2.6172448976729 2,870 38.21	1.80063978729436 4,170 55.54	34.9447272993315 2.86
2	10.6752498026416 700 9.37		4.79745561552476 1,560 20.84	3.23004383229361 2,320 30.96	2.18510264347283 3,430 45.76	1.48847518425899 5,040 67.18	1.02405687811642 7,320 97.65	23.4003839563082 4.27
3	6.51013601522703 1,150 15.36	4.35944687904367 1,720 22.94		1.96979228328438 3,810 50.77	1.33255105774857 5,630 75.04	0.907723574058031 8,260 110.17	0.624505251597671 12,010 160.13	15.7041550609594 6.37
4	4.13167973309469 1,820 24.2	2.76673763428574 2,710 36.14	1.85677623507977 4,040 53.86		0.845708013739812 8,870 118.24	0.576089821382489 13,020 173.58	0.396344359810939 18,920 252.31	10.5733357973934 9.46
5	2.69208177327822 2,790 37.15	1.80272538963824 4,160 55.47	1.20982113387825 6,200 82.66	0.81455163003826 9,210 122.77		0.375363292438271 19,980 266.41	0.258246402411607 29,040 387.23	7.15278962168284 13.98
6	1.78986567717727 4,190 55.87	1.19856548650093 6,260 83.43	0.804365359383376 9,320 124.32	0.541565274638338 13,850 184.65	0.366365218141645 20,470 272.95		0.171698488700876 43,680 582.42	4.87242550454244 20.52
7	1.21204095180913 6,190 82.51	0.811630990854676 9,240 123.21	0.544691016885041 13,770 183.59	0.366731034238617 20,450 272.68	0.248091045807668 30,230 403.08	0.168997720187036 44,380 591.72		3.35218275978217 29.83
合計 2着になる確率 Total Probability of finishing second	27.0110539532279 3.7	23.5087260607345 4.25	17.6486656698711 5.67	12.6021981160856 7.94	8.81997054215122 11.34	6.13389448999771 16.3	4.27549116793188 23.39

馬単(6頭) Exacta (6 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	6	合計 1着の確率 Total Probability of finishing first
1		13.712153807962 550 7.29	9.20231864665235 820 10.87	6.19576187244591 1,210 16.14	4.19139068964162 1,790 23.86	2.85514323443876 2,630 35.02	36.1567682511406 2.77
2	11.5510158071547 650 8.66		5.1910247229378 1,440 19.26	3.49502710047997 2,150 28.61	2.36436201884142 3,170 42.29	1.61058529774905 4,660 62.09	24.2120149471629 4.13
3	7.01489752047054 1,070 14.26	4.69745532672407 1,600 21.29		2.12251955589467 3,530 47.11	1.43587001700683 5,220 69.64	0.978103657748275 7,670 102.24	16.2488460778444 6.15
4	4.44147493728194 1,690 22.52	2.97418886616138 2,520 33.62	1.99599815208101 3,760 50.1		0.909119580880588 8,250 110.	0.619285295227144 12,110 161.48	10.9400668316321 9.14
5	2.88978911546576 2,600 34.6	1.93511811597261 3,880 51.68	1.29867078297718 5,780 77.	0.874372560980226 8,580 114.37		0.40293009209472 18,610 248.18	7.40088066749051 13.51
6	1.91959038754183 3,910 52.09	1.28543432954981 5,830 77.79	0.862663624221803 8,690 115.92	0.580816487336463 12,910 172.17	0.39291839607957 19,090 254.51		5.04142322472947 19.84
合計 2着になる確率 Total Probability of finishing second	27.8167677679147 3.59	24.6043504463699 4.06	18.5506759288701 5.39	13.2684975771372 7.54	9.29366070245003 10.76	6.46604757725795 15.47

馬単(5頭) Exacta (5 horses)	i1番人気⇒i2番人気の的中率(hit rate of i1-th rank⇒i2-th rank) =pi1×pi2÷(1-pi1)
	i番人気の的中率(hit rate of i-th rank) =((2/3)^(i-1)-(2/3)^i+a)÷Σ(((2/3)^(j-1)-(2/3)^j+a)) (a=0.003)
1行目 first line	当たる確率 Probability of hit
2行目 second line	支持率＝当たる確率の時の払戻 Return when support rate equals to probability of hit (払戻率(Return rate)=75%)
3行目 third line	当たるまでの試行回数の平均 Average number of attempts to hit

	1	2	3	4	5	合計 1着の確率 Total Probability of finishing first
1		15.6781804443141 480 6.38	10.5217323455428 710 9.5	7.08410027969529 1,060 14.12	4.79234556913027 1,560 20.87	38.0763586386825 2.63
2	13.0310977759352 580 7.67		5.85617333152643 1,280 17.08	3.94286014635076 1,900 25.36	2.66731802290031 2,810 37.49	25.4974492767127 3.92
3	7.86048796308465 950 12.72	5.26369643249837 1,420 19.		2.37837250962474 3,150 42.05	1.60895279685843 4,660 62.15	17.1115097020662 5.84
4	4.95793020480622 1,510 20.17	3.3200279237338 2,260 30.12	2.22809306968552 3,370 44.88		1.01483212074298 7,390 98.54	11.5208833189685 8.68
5	3.2184330911423 2,330 31.07	2.15519123744481 3,480 46.4	1.44636333497982 5,190 69.14	0.973811400003155 7,700 102.69		7.79379906357008 12.83
合計 2着になる確率 Total Probability of finishing second	29.0679490349684 3.44	26.4170960379911 3.79	20.0523620817346 4.99	14.3791443356739 6.95	10.083448509632 9.92

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競馬の的中率に関する考察(Considerations regarding hit rate)(2025年9月20日公開、2025年09月20日21:50:51第0回の改訂) 競馬ホーム(HorseRacingHome)・ホーム・English Home

競馬の的中率に関する考察(Considerations regarding hit rate)
(2025年9月20日公開、2025年09月20日21:50:51第0回の改訂)
競馬ホーム(HorseRacingHome)・ホーム・English Home