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Blackjack⼆⼗⼀点 附录 9 - 六副牌, 庄家在软17点不补牌, 没有hole card洞牌
简介
以下为Blackjack⼆⼗⼀点在下列规则时、每⼀⼿原初牌⾯的期望回报 率。
- 6副牌
- 庄家在软17点时停住不补
- 没有庄家的hole card洞牌。如果庄家拿到blackjack, 玩家输掉所有注 ⾦、包括加倍赌注和分牌的注⾦。
- 玩家可以再分牌到四⼿牌, 除了Aces例外
- Aces分牌之后不可再补牌
有两种列表, 第⼀种是玩家有两张不同⼤⼩的牌, 第⼆种是玩家有两张同样 ⼤⼩的牌。在第⼆种列表有两个直栏的分牌状况, ⼀个直栏是玩家在分牌 之后可以加倍赌注, 另⼀个直栏则是玩家不可以加倍赌注。
这种列表的数值是使⽤recursive combinatorial program递回组合程式运 算出来的, 考量在每⼀阶段的精确牌⾯结构。对于分牌的数值, 程式只考量 玩家已经分牌到⼏⼿牌、⾄于这些牌⾯⼜补了什么牌则不予列⼊考虑。
游戏的期望回报率:
- 玩家分牌之后可以加倍赌注: -0.0051417.
- 玩家分牌之后不可以加倍赌注: -0.0065417
Blackjack⼆⼗⼀点 附录9 - 6副牌, 庄家在软17点停住不补
| 庄家 | 玩家 | 停住不补 | 补牌 | 加倍赌注 | 机率 |
|---|---|---|---|---|---|
| A | 2,A | -0.769922 | -0.351634 | -1.048402 | 0.00060719 |
| A | 3,A | -0.769758 | -0.376609 | -1.048638 | 0.00060719 |
| A | 3,2 | -0.769595 | -0.504418 | -1.539191 | 0.00063359 |
| A | 4,A | -0.769559 | -0.403240 | -1.051304 | 0.00060719 |
| A | 4,2 | -0.769416 | -0.523787 | -1.519639 | 0.00063359 |
| A | 4,3 | -0.769250 | -0.528359 | -1.399876 | 0.00063359 |
| A | 5,A | -0.769381 | -0.429418 | -1.055121 | 0.00060719 |
| A | 5,2 | -0.769217 | -0.526930 | -1.399814 | 0.00063359 |
| A | 5,3 | -0.769050 | -0.448654 | -1.178165 | 0.00063359 |
| A | 5,4 | -0.768849 | -0.356384 | -0.915326 | 0.00063359 |
| A | 6,A | -0.640730 | -0.436807 | -0.990809 | 0.00060719 |
| A | 6,2 | -0.767511 | -0.449692 | -1.179014 | 0.00063359 |
| A | 6,3 | -0.767344 | -0.357544 | -0.916402 | 0.00063359 |
| A | 6,4 | -0.767142 | -0.254613 | -0.624237 | 0.00063359 |
| A | 6,5 | -0.766929 | -0.208939 | -0.531948 | 0.00063359 |
| A | 7,A | -0.379803 | -0.376403 | -0.871104 | 0.00060719 |
| A | 7,2 | -0.768161 | -0.357695 | -0.916439 | 0.00063359 |
| A | 7,3 | -0.767995 | -0.253953 | -0.625216 | 0.00063359 |
| A | 7,4 | -0.767781 | -0.209107 | -0.534005 | 0.00063359 |
| A | 7,5 | -0.767583 | -0.555110 | -1.000000 | 0.00063359 |
| A | 7,6 | -0.765901 | -0.589540 | -1.000000 | 0.00063359 |
| A | 8,A | -0.117909 | -0.315853 | -0.751831 | 0.00060719 |
| A | 8,2 | -0.768818 | -0.253957 | -0.626800 | 0.00063359 |
| A | 8,3 | -0.768640 | -0.209158 | -0.535819 | 0.00063359 |
| A | 8,4 | -0.768441 | -0.555040 | -1.000000 | 0.00063359 |
| A | 8,5 | -0.768244 | -0.588140 | -1.000000 | 0.00063359 |
| A | 8,6 | -0.766563 | -0.615494 | -1.000000 | 0.00063359 |
| A | 8,7 | -0.767219 | -0.638858 | -1.000000 | 0.00063359 |
| A | 9,A | 0.144001 | -0.256053 | -0.634092 | 0.00060719 |
| A | 9,2 | -0.769461 | -0.209243 | -0.537602 | 0.00063359 |
| A | 9,3 | -0.769298 | -0.554926 | -1.000000 | 0.00063359 |
| A | 9,4 | -0.769100 | -0.582688 | -1.000000 | 0.00063359 |
| A | 9,5 | -0.768902 | -0.614002 | -1.000000 | 0.00063359 |
| A | 9,6 | -0.767224 | -0.643279 | -1.000000 | 0.00063359 |
| A | 9,7 | -0.767876 | -0.664743 | -1.000000 | 0.00063359 |
| A | 9,8 | -0.637333 | -1.000000 | -1.000000 | 0.00063359 |
| A | 10,A | 1.500000 | -0.207351 | -0.535498 | 0.00244016 |
| A | 10,2 | -0.770111 | -0.549970 | -1.000000 | 0.00254626 |
| A | 10,3 | -0.769948 | -0.581896 | -1.000000 | 0.00254626 |
| A | 10,4 | -0.769750 | -0.612684 | -1.000000 | 0.00254626 |
| A | 10,5 | -0.769553 | -0.641900 | -1.000000 | 0.00254626 |
| A | 10,6 | -0.767872 | -0.664664 | -1.000000 | 0.00254626 |
| A | 10,7 | -0.637314 | -1.000000 | -1.000000 | 0.00254626 |
| A | 10,8 | -0.374811 | -1.000000 | -1.000000 | 0.00254626 |
| A | 10,9 | -0.111805 | -1.000000 | -1.000000 | 0.00254626 |
| 2 | 2,A | -0.291206 | 0.045498 | -0.066612 | 0.00088085 |
| 2 | 3,A | -0.291153 | 0.021511 | -0.067209 | 0.00091915 |
| 2 | 3,2 | -0.292497 | -0.128580 | -0.584995 | 0.00088085 |
| 2 | 4,A | -0.290874 | -0.001911 | -0.070879 | 0.00091915 |
| 2 | 4,2 | -0.292191 | -0.142043 | -0.562844 | 0.00088085 |
| 2 | 4,3 | -0.292138 | -0.110747 | -0.433593 | 0.00091915 |
| 2 | 5,A | -0.288520 | -0.022828 | -0.073426 | 0.00091915 |
| 2 | 5,2 | -0.289838 | -0.107688 | -0.430242 | 0.00088085 |
| 2 | 5,3 | -0.289785 | -0.020547 | -0.198013 | 0.00091915 |
| 2 | 5,4 | -0.289477 | 0.077895 | 0.070195 | 0.00091915 |
| 2 | 6,A | -0.149609 | 0.000693 | -0.003955 | 0.00091915 |
| 2 | 6,2 | -0.290319 | -0.020241 | -0.197761 | 0.00088085 |
| 2 | 6,3 | -0.290265 | 0.077499 | 0.069639 | 0.00091915 |
| 2 | 6,4 | -0.289937 | 0.188194 | 0.370898 | 0.00091915 |
| 2 | 6,5 | -0.287593 | 0.245699 | 0.486057 | 0.00091915 |
| 2 | 7,A | 0.124001 | 0.063289 | 0.120980 | 0.00091915 |
| 2 | 7,2 | -0.290814 | 0.076102 | 0.070185 | 0.00088085 |
| 2 | 7,3 | -0.290740 | 0.187604 | 0.369735 | 0.00091915 |
| 2 | 7,4 | -0.290433 | 0.243852 | 0.482105 | 0.00091915 |
| 2 | 7,5 | -0.288090 | -0.253281 | -1.000000 | 0.00091915 |
| 2 | 7,6 | -0.288573 | -0.311686 | -1.000000 | 0.00091915 |
| 2 | 8,A | 0.388607 | 0.123270 | 0.240954 | 0.00091915 |
| 2 | 8,2 | -0.291265 | 0.187068 | 0.368939 | 0.00088085 |
| 2 | 8,3 | -0.291211 | 0.243014 | 0.480441 | 0.00091915 |
| 2 | 8,4 | -0.290906 | -0.254394 | -1.000000 | 0.00091915 |
| 2 | 8,5 | -0.288562 | -0.311561 | -1.000000 | 0.00091915 |
| 2 | 8,6 | -0.289043 | -0.362334 | -1.000000 | 0.00091915 |
| 2 | 8,7 | -0.289566 | -0.412537 | -1.000000 | 0.00091915 |
| 2 | 9,A | 0.642364 | 0.183625 | 0.361938 | 0.00091915 |
| 2 | 9,2 | -0.291935 | 0.242225 | 0.478906 | 0.00088085 |
| 2 | 9,3 | -0.291881 | -0.255450 | -1.000000 | 0.00091915 |
| 2 | 9,4 | -0.291577 | -0.305357 | -1.000000 | 0.00091915 |
| 2 | 9,5 | -0.289232 | -0.361682 | -1.000000 | 0.00091915 |
| 2 | 9,6 | -0.289740 | -0.418797 | -1.000000 | 0.00091915 |
| 2 | 9,7 | -0.290238 | -0.468667 | -1.000000 | 0.00091915 |
| 2 | 9,8 | -0.150409 | -1.000000 | -1.000000 | 0.00091915 |
| 2 | 10,A | 1.500000 | 0.239715 | 0.473071 | 0.00367661 |
| 2 | 10,2 | -0.295821 | -0.251852 | -1.000000 | 0.00352341 |
| 2 | 10,3 | -0.295769 | -0.307135 | -1.000000 | 0.00367661 |
| 2 | 10,4 | -0.295463 | -0.363144 | -1.000000 | 0.00367661 |
| 2 | 10,5 | -0.293144 | -0.419694 | -1.000000 | 0.00367661 |
| 2 | 10,6 | -0.293627 | -0.470104 | -1.000000 | 0.00367661 |
| 2 | 10,7 | -0.153831 | -1.000000 | -1.000000 | 0.00367661 |
| 2 | 10,8 | 0.121180 | -1.000000 | -1.000000 | 0.00367661 |
| 2 | 10,9 | 0.386175 | -1.000000 | -1.000000 | 0.00367661 |
| 3 | 2,A | -0.250039 | 0.073677 | -0.000768 | 0.00091915 |
| 3 | 3,A | -0.249764 | 0.049873 | -0.003369 | 0.00088085 |
| 3 | 3,2 | -0.250991 | -0.095372 | -0.501981 | 0.00088085 |
| 3 | 4,A | -0.247424 | 0.028141 | -0.005278 | 0.00091915 |
| 3 | 4,2 | -0.248651 | -0.106780 | -0.476783 | 0.00091915 |
| 3 | 4,3 | -0.248347 | -0.076830 | -0.353083 | 0.00088085 |
| 3 | 5,A | -0.246985 | 0.007133 | -0.009099 | 0.00091915 |
| 3 | 5,2 | -0.248212 | -0.073959 | -0.351320 | 0.00091915 |
| 3 | 5,3 | -0.247908 | 0.010288 | -0.126928 | 0.00088085 |
| 3 | 5,4 | -0.245557 | 0.107786 | 0.133343 | 0.00091915 |
| 3 | 6,A | -0.113384 | 0.030062 | 0.057996 | 0.00091915 |
| 3 | 6,2 | -0.248688 | 0.010682 | -0.126661 | 0.00091915 |
| 3 | 6,3 | -0.248363 | 0.107252 | 0.131932 | 0.00088085 |
| 3 | 6,4 | -0.246032 | 0.213213 | 0.424181 | 0.00091915 |
| 3 | 6,5 | -0.245592 | 0.268829 | 0.535531 | 0.00091915 |
| 3 | 7,A | 0.151119 | 0.090730 | 0.179330 | 0.00091915 |
| 3 | 7,2 | -0.249155 | 0.105932 | 0.132529 | 0.00091915 |
| 3 | 7,3 | -0.248852 | 0.212481 | 0.422507 | 0.00088085 |
| 3 | 7,4 | -0.246521 | 0.267373 | 0.532615 | 0.00091915 |
| 3 | 7,5 | -0.246082 | -0.231898 | -1.000000 | 0.00091915 |
| 3 | 7,6 | -0.246558 | -0.293387 | -1.000000 | 0.00091915 |
| 3 | 8,A | 0.406627 | 0.152923 | 0.303609 | 0.00091915 |
| 3 | 8,2 | -0.249823 | 0.211639 | 0.420927 | 0.00091915 |
| 3 | 8,3 | -0.249520 | 0.265860 | 0.529385 | 0.00088085 |
| 3 | 8,4 | -0.247191 | -0.233026 | -1.000000 | 0.00091915 |
| 3 | 8,5 | -0.246750 | -0.293525 | -1.000000 | 0.00091915 |
| 3 | 8,6 | -0.247253 | -0.348528 | -1.000000 | 0.00091915 |
| 3 | 8,7 | -0.247742 | -0.402400 | -1.000000 | 0.00091915 |
| 3 | 9,A | 0.649381 | 0.204702 | 0.406920 | 0.00091915 |
| 3 | 9,2 | -0.253743 | 0.261968 | 0.521453 | 0.00091915 |
| 3 | 9,3 | -0.253442 | -0.236992 | -1.000000 | 0.00088085 |
| 3 | 9,4 | -0.251111 | -0.289298 | -1.000000 | 0.00091915 |
| 3 | 9,5 | -0.250696 | -0.349725 | -1.000000 | 0.00091915 |
| 3 | 9,6 | -0.251174 | -0.410266 | -1.000000 | 0.00091915 |
| 3 | 9,7 | -0.251664 | -0.462970 | -1.000000 | 0.00091915 |
| 3 | 9,8 | -0.117448 | -1.000000 | -1.000000 | 0.00091915 |
| 3 | 10,A | 1.500000 | 0.262007 | 0.520742 | 0.00367661 |
| 3 | 10,2 | -0.254531 | -0.231352 | -1.000000 | 0.00367661 |
| 3 | 10,3 | -0.254229 | -0.289800 | -1.000000 | 0.00352341 |
| 3 | 10,4 | -0.251923 | -0.349731 | -1.000000 | 0.00367661 |
| 3 | 10,5 | -0.251483 | -0.409906 | -1.000000 | 0.00367661 |
| 3 | 10,6 | -0.251961 | -0.463383 | -1.000000 | 0.00367661 |
| 3 | 10,7 | -0.117503 | -1.000000 | -1.000000 | 0.00367661 |
| 3 | 10,8 | 0.147907 | -1.000000 | -1.000000 | 0.00367661 |
| 3 | 10,9 | 0.401225 | -1.000000 | -1.000000 | 0.00367661 |
| 4 | 2,A | -0.206762 | 0.103706 | 0.068041 | 0.00091915 |
| 4 | 3,A | -0.204426 | 0.081740 | 0.066904 | 0.00091915 |
| 4 | 3,2 | -0.205342 | -0.058096 | -0.410683 | 0.00091915 |
| 4 | 4,A | -0.203980 | 0.059395 | 0.062389 | 0.00088085 |
| 4 | 4,2 | -0.204896 | -0.069987 | -0.389655 | 0.00088085 |
| 4 | 4,3 | -0.202559 | -0.038805 | -0.265965 | 0.00088085 |
| 4 | 5,A | -0.203594 | 0.039363 | 0.058627 | 0.00091915 |
| 4 | 5,2 | -0.204511 | -0.037741 | -0.268419 | 0.00091915 |
| 4 | 5,3 | -0.202163 | 0.046373 | -0.049530 | 0.00091915 |
| 4 | 5,4 | -0.201715 | 0.138455 | 0.199843 | 0.00088085 |
| 4 | 6,A | -0.073706 | 0.062047 | 0.124093 | 0.00091915 |
| 4 | 6,2 | -0.204953 | 0.045436 | -0.052398 | 0.00091915 |
| 4 | 6,3 | -0.202625 | 0.138010 | 0.198944 | 0.00091915 |
| 4 | 6,4 | -0.202177 | 0.240204 | 0.480408 | 0.00088085 |
| 4 | 6,5 | -0.201792 | 0.293738 | 0.587476 | 0.00091915 |
| 4 | 7,A | 0.180238 | 0.124398 | 0.248797 | 0.00091915 |
| 4 | 7,2 | -0.205645 | 0.135128 | 0.196167 | 0.00091915 |
| 4 | 7,3 | -0.203317 | 0.239200 | 0.478400 | 0.00091915 |
| 4 | 7,4 | -0.202872 | 0.292304 | 0.584609 | 0.00088085 |
| 4 | 7,5 | -0.202485 | -0.210281 | -1.000000 | 0.00091915 |
| 4 | 7,6 | -0.202973 | -0.274868 | -1.000000 | 0.00091915 |
| 4 | 8,A | 0.422206 | 0.177396 | 0.354792 | 0.00091915 |
| 4 | 8,2 | -0.209562 | 0.234141 | 0.468281 | 0.00091915 |
| 4 | 8,3 | -0.207235 | 0.287820 | 0.575640 | 0.00091915 |
| 4 | 8,4 | -0.206788 | -0.213675 | -1.000000 | 0.00088085 |
| 4 | 8,5 | -0.206426 | -0.277081 | -1.000000 | 0.00091915 |
| 4 | 8,6 | -0.206890 | -0.335432 | -1.000000 | 0.00091915 |
| 4 | 8,7 | -0.207585 | -0.393183 | -1.000000 | 0.00091915 |
| 4 | 9,A | 0.659822 | 0.230229 | 0.460459 | 0.00091915 |
| 4 | 9,2 | -0.210367 | 0.285737 | 0.571475 | 0.00091915 |
| 4 | 9,3 | -0.208039 | -0.215390 | -1.000000 | 0.00091915 |
| 4 | 9,4 | -0.207617 | -0.271085 | -1.000000 | 0.00088085 |
| 4 | 9,5 | -0.207230 | -0.335130 | -1.000000 | 0.00091915 |
| 4 | 9,6 | -0.207694 | -0.399532 | -1.000000 | 0.00091915 |
| 4 | 9,7 | -0.208389 | -0.455828 | -1.000000 | 0.00091915 |
| 4 | 9,8 | -0.081128 | -1.000000 | -1.000000 | 0.00091915 |
| 4 | 10,A | 1.500000 | 0.285339 | 0.570678 | 0.00367661 |
| 4 | 10,2 | -0.211115 | -0.210364 | -1.000000 | 0.00367661 |
| 4 | 10,3 | -0.208813 | -0.271530 | -1.000000 | 0.00367661 |
| 4 | 10,4 | -0.208366 | -0.335176 | -1.000000 | 0.00352341 |
| 4 | 10,5 | -0.207979 | -0.399232 | -1.000000 | 0.00367661 |
| 4 | 10,6 | -0.208443 | -0.456060 | -1.000000 | 0.00367661 |
| 4 | 10,7 | -0.077990 | -1.000000 | -1.000000 | 0.00367661 |
| 4 | 10,8 | 0.174060 | -1.000000 | -1.000000 | 0.00367661 |
| 4 | 10,9 | 0.420027 | -1.000000 | -1.000000 | 0.00367661 |
| 5 | 2,A | -0.159409 | 0.137333 | 0.139852 | 0.00091915 |
| 5 | 3,A | -0.158985 | 0.115726 | 0.138428 | 0.00091915 |
| 5 | 3,2 | -0.157535 | -0.016982 | -0.315071 | 0.00091915 |
| 5 | 4,A | -0.158591 | 0.094352 | 0.133708 | 0.00091915 |
| 5 | 4,2 | -0.157142 | -0.028170 | -0.295698 | 0.00091915 |
| 5 | 4,3 | -0.156706 | 0.001372 | -0.181201 | 0.00091915 |
| 5 | 5,A | -0.158230 | 0.074608 | 0.129043 | 0.00088085 |
| 5 | 5,2 | -0.156769 | 0.002599 | -0.182527 | 0.00088085 |
| 5 | 5,3 | -0.156343 | 0.081640 | 0.026650 | 0.00088085 |
| 5 | 5,4 | -0.155947 | 0.171639 | 0.269397 | 0.00088085 |
| 5 | 6,A | -0.037276 | 0.098894 | 0.197788 | 0.00091915 |
| 5 | 6,2 | -0.157462 | 0.080131 | 0.023136 | 0.00091915 |
| 5 | 6,3 | -0.157036 | 0.170000 | 0.266081 | 0.00091915 |
| 5 | 6,4 | -0.156641 | 0.269038 | 0.538075 | 0.00091915 |
| 5 | 6,5 | -0.156277 | 0.320645 | 0.641289 | 0.00088085 |
| 5 | 7,A | 0.203128 | 0.152043 | 0.304086 | 0.00091915 |
| 5 | 7,2 | -0.161406 | 0.164083 | 0.257330 | 0.00091915 |
| 5 | 7,3 | -0.160981 | 0.264422 | 0.528844 | 0.00091915 |
| 5 | 7,4 | -0.160585 | 0.315911 | 0.631821 | 0.00091915 |
| 5 | 7,5 | -0.160247 | -0.190851 | -1.000000 | 0.00088085 |
| 5 | 7,6 | -0.160941 | -0.259222 | -1.000000 | 0.00091915 |
| 5 | 8,A | 0.442903 | 0.206863 | 0.413727 | 0.00091915 |
| 5 | 8,2 | -0.162223 | 0.262620 | 0.525241 | 0.00091915 |
| 5 | 8,3 | -0.161797 | 0.314059 | 0.628118 | 0.00091915 |
| 5 | 8,4 | -0.161427 | -0.192253 | -1.000000 | 0.00091915 |
| 5 | 8,5 | -0.161063 | -0.259433 | -1.000000 | 0.00088085 |
| 5 | 8,6 | -0.161758 | -0.320819 | -1.000000 | 0.00091915 |
| 5 | 8,7 | -0.165703 | -0.383461 | -1.000000 | 0.00091915 |
| 5 | 9,A | 0.672201 | 0.258083 | 0.516167 | 0.00091915 |
| 5 | 9,2 | -0.162932 | 0.312378 | 0.624756 | 0.00091915 |
| 5 | 9,3 | -0.162532 | -0.193893 | -1.000000 | 0.00091915 |
| 5 | 9,4 | -0.162136 | -0.253443 | -1.000000 | 0.00091915 |
| 5 | 9,5 | -0.161773 | -0.320312 | -1.000000 | 0.00088085 |
| 5 | 9,6 | -0.162468 | -0.388253 | -1.000000 | 0.00091915 |
| 5 | 9,7 | -0.166414 | -0.449906 | -1.000000 | 0.00091915 |
| 5 | 9,8 | -0.044795 | -1.000000 | -1.000000 | 0.00091915 |
| 5 | 10,A | 1.500000 | 0.311181 | 0.622362 | 0.00367661 |
| 5 | 10,2 | -0.163622 | -0.188610 | -1.000000 | 0.00367661 |
| 5 | 10,3 | -0.163196 | -0.253882 | -1.000000 | 0.00367661 |
| 5 | 10,4 | -0.162801 | -0.320371 | -1.000000 | 0.00367661 |
| 5 | 10,5 | -0.162437 | -0.387776 | -1.000000 | 0.00352341 |
| 5 | 10,6 | -0.163133 | -0.448820 | -1.000000 | 0.00367661 |
| 5 | 10,7 | -0.044650 | -1.000000 | -1.000000 | 0.00367661 |
| 5 | 10,8 | 0.200067 | -1.000000 | -1.000000 | 0.00367661 |
| 5 | 10,9 | 0.440768 | -1.000000 | -1.000000 | 0.00367661 |
| 6 | 2,A | -0.147343 | 0.162671 | 0.187925 | 0.00091915 |
| 6 | 3,A | -0.146976 | 0.140226 | 0.186374 | 0.00091915 |
| 6 | 3,2 | -0.148613 | 0.002168 | -0.297226 | 0.00091915 |
| 6 | 4,A | -0.146635 | 0.118402 | 0.182917 | 0.00091915 |
| 6 | 4,2 | -0.148262 | -0.008635 | -0.271375 | 0.00091915 |
| 6 | 4,3 | -0.147894 | 0.034005 | -0.125555 | 0.00091915 |
| 6 | 5,A | -0.146311 | 0.101516 | 0.185557 | 0.00091915 |
| 6 | 5,2 | -0.147947 | 0.035671 | -0.125924 | 0.00091915 |
| 6 | 5,3 | -0.147579 | 0.122679 | 0.103206 | 0.00091915 |
| 6 | 5,4 | -0.147238 | 0.206548 | 0.336805 | 0.00091915 |
| 6 | 6,A | 0.012006 | 0.129254 | 0.258507 | 0.00088085 |
| 6 | 6,2 | -0.151827 | 0.118058 | 0.093586 | 0.00088085 |
| 6 | 6,3 | -0.151460 | 0.201776 | 0.327255 | 0.00088085 |
| 6 | 6,4 | -0.151116 | 0.294885 | 0.589770 | 0.00088085 |
| 6 | 6,5 | -0.150826 | 0.341332 | 0.682665 | 0.00088085 |
| 6 | 7,A | 0.280488 | 0.191403 | 0.382807 | 0.00091915 |
| 6 | 7,2 | -0.152586 | 0.198589 | 0.324158 | 0.00091915 |
| 6 | 7,3 | -0.152216 | 0.292827 | 0.585653 | 0.00091915 |
| 6 | 7,4 | -0.151899 | 0.338982 | 0.677964 | 0.00091915 |
| 6 | 7,5 | -0.151583 | -0.171631 | -1.000000 | 0.00091915 |
| 6 | 7,6 | -0.155464 | -0.242507 | -1.000000 | 0.00088085 |
| 6 | 8,A | 0.493924 | 0.240133 | 0.480266 | 0.00091915 |
| 6 | 8,2 | -0.153236 | 0.291058 | 0.582117 | 0.00091915 |
| 6 | 8,3 | -0.152893 | 0.337335 | 0.674669 | 0.00091915 |
| 6 | 8,4 | -0.152551 | -0.172631 | -1.000000 | 0.00091915 |
| 6 | 8,5 | -0.152235 | -0.240648 | -1.000000 | 0.00091915 |
| 6 | 8,6 | -0.156116 | -0.304185 | -1.000000 | 0.00088085 |
| 6 | 8,7 | -0.156878 | -0.365151 | -1.000000 | 0.00091915 |
| 6 | 9,A | 0.702601 | 0.286683 | 0.573366 | 0.00091915 |
| 6 | 9,2 | -0.153877 | 0.335808 | 0.671616 | 0.00091915 |
| 6 | 9,3 | -0.153509 | -0.174121 | -1.000000 | 0.00091915 |
| 6 | 9,4 | -0.153167 | -0.234397 | -1.000000 | 0.00091915 |
| 6 | 9,5 | -0.152851 | -0.301944 | -1.000000 | 0.00091915 |
| 6 | 9,6 | -0.156735 | -0.371282 | -1.000000 | 0.00088085 |
| 6 | 9,7 | -0.157459 | -0.425490 | -1.000000 | 0.00091915 |
| 6 | 9,8 | 0.008284 | -1.000000 | -1.000000 | 0.00091915 |
| 6 | 10,A | 1.500000 | 0.334922 | 0.669843 | 0.00367661 |
| 6 | 10,2 | -0.154694 | -0.168756 | -1.000000 | 0.00367661 |
| 6 | 10,3 | -0.154326 | -0.234633 | -1.000000 | 0.00367661 |
| 6 | 10,4 | -0.153984 | -0.301960 | -1.000000 | 0.00367661 |
| 6 | 10,5 | -0.153670 | -0.369292 | -1.000000 | 0.00367661 |
| 6 | 10,6 | -0.157516 | -0.425430 | -1.000000 | 0.00352341 |
| 6 | 10,7 | 0.008330 | -1.000000 | -1.000000 | 0.00367661 |
| 6 | 10,8 | 0.281026 | -1.000000 | -1.000000 | 0.00367661 |
| 6 | 10,9 | 0.494123 | -1.000000 | -1.000000 | 0.00367661 |
| 7 | 2,A | -0.473185 | 0.120174 | -0.179483 | 0.00091915 |
| 7 | 3,A | -0.472861 | 0.076540 | -0.182241 | 0.00091915 |
| 7 | 3,2 | -0.474287 | -0.119481 | -0.948574 | 0.00091915 |
| 7 | 4,A | -0.472512 | 0.036406 | -0.177160 | 0.00091915 |
| 7 | 4,2 | -0.473947 | -0.153746 | -0.890224 | 0.00091915 |
| 7 | 4,3 | -0.473622 | -0.069120 | -0.581824 | 0.00091915 |
| 7 | 5,A | -0.473968 | -0.007882 | -0.184344 | 0.00091915 |
| 7 | 5,2 | -0.475404 | -0.068651 | -0.585406 | 0.00091915 |
| 7 | 5,3 | -0.475079 | 0.083844 | -0.178613 | 0.00091915 |
| 7 | 5,4 | -0.474737 | 0.176299 | 0.118144 | 0.00091915 |
| 7 | 6,A | -0.103826 | 0.054706 | -0.008857 | 0.00091915 |
| 7 | 6,2 | -0.476165 | 0.083939 | -0.180927 | 0.00091915 |
| 7 | 6,3 | -0.475838 | 0.176073 | 0.115952 | 0.00091915 |
| 7 | 6,4 | -0.475523 | 0.261579 | 0.406015 | 0.00091915 |
| 7 | 6,5 | -0.476977 | 0.293411 | 0.469749 | 0.00091915 |
| 7 | 7,A | 0.401861 | 0.171872 | 0.223664 | 0.00088085 |
| 7 | 7,2 | -0.476858 | 0.174276 | 0.113595 | 0.00088085 |
| 7 | 7,3 | -0.476558 | 0.260334 | 0.401418 | 0.00088085 |
| 7 | 7,4 | -0.476217 | 0.292868 | 0.467648 | 0.00088085 |
| 7 | 7,5 | -0.477672 | -0.219577 | -1.000000 | 0.00088085 |
| 7 | 7,6 | -0.478433 | -0.278428 | -1.000000 | 0.00088085 |
| 7 | 8,A | 0.615734 | 0.220956 | 0.320560 | 0.00091915 |
| 7 | 8,2 | -0.477422 | 0.258576 | 0.396342 | 0.00091915 |
| 7 | 8,3 | -0.477096 | 0.292164 | 0.464533 | 0.00091915 |
| 7 | 8,4 | -0.476756 | -0.217934 | -1.000000 | 0.00091915 |
| 7 | 8,5 | -0.478210 | -0.278145 | -1.000000 | 0.00091915 |
| 7 | 8,6 | -0.478975 | -0.325493 | -1.000000 | 0.00091915 |
| 7 | 8,7 | -0.479635 | -0.362547 | -1.000000 | 0.00088085 |
| 7 | 9,A | 0.773273 | 0.254647 | 0.385938 | 0.00091915 |
| 7 | 9,2 | -0.478284 | 0.291741 | 0.461868 | 0.00091915 |
| 7 | 9,3 | -0.477959 | -0.218241 | -1.000000 | 0.00091915 |
| 7 | 9,4 | -0.477619 | -0.269781 | -1.000000 | 0.00091915 |
| 7 | 9,5 | -0.479075 | -0.325412 | -1.000000 | 0.00091915 |
| 7 | 9,6 | -0.479801 | -0.368743 | -1.000000 | 0.00091915 |
| 7 | 9,7 | -0.480503 | -0.408432 | -1.000000 | 0.00088085 |
| 7 | 9,8 | -0.109730 | -1.000000 | -1.000000 | 0.00091915 |
| 7 | 10,A | 1.500000 | 0.291217 | 0.463763 | 0.00367661 |
| 7 | 10,2 | -0.474935 | -0.212638 | -1.000000 | 0.00367661 |
| 7 | 10,3 | -0.474609 | -0.269267 | -1.000000 | 0.00367661 |
| 7 | 10,4 | -0.474271 | -0.324567 | -1.000000 | 0.00367661 |
| 7 | 10,5 | -0.475708 | -0.368927 | -1.000000 | 0.00367661 |
| 7 | 10,6 | -0.476476 | -0.408624 | -1.000000 | 0.00367661 |
| 7 | 10,7 | -0.108885 | -1.000000 | -1.000000 | 0.00352341 |
| 7 | 10,8 | 0.397743 | -1.000000 | -1.000000 | 0.00367661 |
| 7 | 10,9 | 0.615047 | -1.000000 | -1.000000 | 0.00367661 |
| 8 | 2,A | -0.510013 | 0.051835 | -0.314099 | 0.00091915 |
| 8 | 3,A | -0.509664 | 0.016478 | -0.305060 | 0.00091915 |
| 8 | 3,2 | -0.510907 | -0.187166 | -1.021815 | 0.00091915 |
| 8 | 4,A | -0.511097 | -0.028404 | -0.314303 | 0.00091915 |
| 8 | 4,2 | -0.512340 | -0.219720 | -1.004683 | 0.00091915 |
| 8 | 4,3 | -0.512000 | -0.213278 | -0.847352 | 0.00091915 |
| 8 | 5,A | -0.511033 | -0.069392 | -0.317151 | 0.00091915 |
| 8 | 5,2 | -0.512277 | -0.211671 | -0.847888 | 0.00091915 |
| 8 | 5,3 | -0.511935 | -0.059455 | -0.448043 | 0.00091915 |
| 8 | 5,4 | -0.513391 | 0.099920 | -0.021689 | 0.00091915 |
| 8 | 6,A | -0.382583 | -0.071750 | -0.251340 | 0.00091915 |
| 8 | 6,2 | -0.512931 | -0.059214 | -0.449931 | 0.00091915 |
| 8 | 6,3 | -0.512615 | 0.101203 | -0.020122 | 0.00091915 |
| 8 | 6,4 | -0.514046 | 0.199620 | 0.291603 | 0.00091915 |
| 8 | 6,5 | -0.513980 | 0.230173 | 0.353456 | 0.00091915 |
| 8 | 7,A | 0.108057 | 0.041028 | -0.028189 | 0.00091915 |
| 8 | 7,2 | -0.513537 | 0.099741 | -0.021682 | 0.00091915 |
| 8 | 7,3 | -0.513196 | 0.200742 | 0.292600 | 0.00091915 |
| 8 | 7,4 | -0.514626 | 0.228786 | 0.349100 | 0.00091915 |
| 8 | 7,5 | -0.514561 | -0.279202 | -1.000000 | 0.00091915 |
| 8 | 7,6 | -0.515221 | -0.334678 | -1.000000 | 0.00091915 |
| 8 | 8,A | 0.595896 | 0.152904 | 0.193997 | 0.00088085 |
| 8 | 8,2 | -0.514402 | 0.199178 | 0.287564 | 0.00088085 |
| 8 | 8,3 | -0.514062 | 0.228561 | 0.347405 | 0.00088085 |
| 8 | 8,4 | -0.515493 | -0.279058 | -1.000000 | 0.00088085 |
| 8 | 8,5 | -0.515429 | -0.333494 | -1.000000 | 0.00088085 |
| 8 | 8,6 | -0.516050 | -0.371477 | -1.000000 | 0.00088085 |
| 8 | 8,7 | -0.516638 | -0.410942 | -1.000000 | 0.00088085 |
| 8 | 9,A | 0.790658 | 0.193713 | 0.277473 | 0.00091915 |
| 8 | 9,2 | -0.511055 | 0.227615 | 0.346979 | 0.00091915 |
| 8 | 9,3 | -0.510715 | -0.278647 | -1.000000 | 0.00091915 |
| 8 | 9,4 | -0.512148 | -0.326010 | -1.000000 | 0.00091915 |
| 8 | 9,5 | -0.512065 | -0.371556 | -1.000000 | 0.00091915 |
| 8 | 9,6 | -0.512728 | -0.417413 | -1.000000 | 0.00091915 |
| 8 | 9,7 | -0.513316 | -0.453627 | -1.000000 | 0.00091915 |
| 8 | 9,8 | -0.387487 | -1.000000 | -1.000000 | 0.00088085 |
| 8 | 10,A | 1.500000 | 0.228515 | 0.347788 | 0.00367661 |
| 8 | 10,2 | -0.511634 | -0.272002 | -1.000000 | 0.00367661 |
| 8 | 10,3 | -0.511295 | -0.324425 | -1.000000 | 0.00367661 |
| 8 | 10,4 | -0.512708 | -0.369606 | -1.000000 | 0.00367661 |
| 8 | 10,5 | -0.512647 | -0.416910 | -1.000000 | 0.00367661 |
| 8 | 10,6 | -0.513309 | -0.453130 | -1.000000 | 0.00367661 |
| 8 | 10,7 | -0.384232 | -1.000000 | -1.000000 | 0.00367661 |
| 8 | 10,8 | 0.104057 | -1.000000 | -1.000000 | 0.00352341 |
| 8 | 10,9 | 0.591091 | -1.000000 | -1.000000 | 0.00367661 |
| 9 | 2,A | -0.539111 | -0.034089 | -0.443187 | 0.00091915 |
| 9 | 3,A | -0.540547 | -0.072746 | -0.446362 | 0.00091915 |
| 9 | 3,2 | -0.541573 | -0.265989 | -1.083146 | 0.00091915 |
| 9 | 4,A | -0.540464 | -0.112418 | -0.450958 | 0.00091915 |
| 9 | 4,2 | -0.541491 | -0.294528 | -1.064329 | 0.00091915 |
| 9 | 4,3 | -0.542924 | -0.288453 | -0.955318 | 0.00091915 |
| 9 | 5,A | -0.540365 | -0.151418 | -0.455770 | 0.00091915 |
| 9 | 5,2 | -0.541389 | -0.285443 | -0.952282 | 0.00091915 |
| 9 | 5,3 | -0.542848 | -0.211386 | -0.715741 | 0.00091915 |
| 9 | 5,4 | -0.542763 | -0.052189 | -0.297409 | 0.00091915 |
| 9 | 6,A | -0.420578 | -0.147268 | -0.392162 | 0.00091915 |
| 9 | 6,2 | -0.542034 | -0.209881 | -0.714108 | 0.00091915 |
| 9 | 6,3 | -0.543467 | -0.052030 | -0.298867 | 0.00091915 |
| 9 | 6,4 | -0.543383 | 0.116739 | 0.147751 | 0.00091915 |
| 9 | 6,5 | -0.543281 | 0.157414 | 0.230031 | 0.00091915 |
| 9 | 7,A | -0.182640 | -0.098469 | -0.284825 | 0.00091915 |
| 9 | 7,2 | -0.542861 | -0.052171 | -0.297011 | 0.00091915 |
| 9 | 7,3 | -0.544295 | 0.116689 | 0.145777 | 0.00091915 |
| 9 | 7,4 | -0.544211 | 0.156869 | 0.227194 | 0.00091915 |
| 9 | 7,5 | -0.544111 | -0.347763 | -1.000000 | 0.00091915 |
| 9 | 7,6 | -0.544695 | -0.392092 | -1.000000 | 0.00091915 |
| 9 | 8,A | 0.287618 | 0.007442 | -0.071161 | 0.00091915 |
| 9 | 8,2 | -0.539517 | 0.116883 | 0.148698 | 0.00091915 |
| 9 | 8,3 | -0.540952 | 0.155339 | 0.225746 | 0.00091915 |
| 9 | 8,4 | -0.540869 | -0.348743 | -1.000000 | 0.00091915 |
| 9 | 8,5 | -0.540750 | -0.391310 | -1.000000 | 0.00091915 |
| 9 | 8,6 | -0.541376 | -0.431821 | -1.000000 | 0.00091915 |
| 9 | 8,7 | -0.542209 | -0.467044 | -1.000000 | 0.00091915 |
| 9 | 9,A | 0.759490 | 0.113198 | 0.138523 | 0.00088085 |
| 9 | 9,2 | -0.540098 | 0.155832 | 0.225460 | 0.00088085 |
| 9 | 9,3 | -0.541534 | -0.348220 | -1.000000 | 0.00088085 |
| 9 | 9,4 | -0.541432 | -0.383661 | -1.000000 | 0.00088085 |
| 9 | 9,5 | -0.541334 | -0.430167 | -1.000000 | 0.00088085 |
| 9 | 9,6 | -0.541961 | -0.472812 | -1.000000 | 0.00088085 |
| 9 | 9,7 | -0.542794 | -0.504993 | -1.000000 | 0.00088085 |
| 9 | 9,8 | -0.421286 | -1.000000 | -1.000000 | 0.00088085 |
| 9 | 10,A | 1.500000 | 0.156681 | 0.225894 | 0.00367661 |
| 9 | 10,2 | -0.540641 | -0.340701 | -1.000000 | 0.00367661 |
| 9 | 10,3 | -0.542057 | -0.382712 | -1.000000 | 0.00367661 |
| 9 | 10,4 | -0.541976 | -0.428224 | -1.000000 | 0.00367661 |
| 9 | 10,5 | -0.541878 | -0.472187 | -1.000000 | 0.00367661 |
| 9 | 10,6 | -0.542505 | -0.504547 | -1.000000 | 0.00367661 |
| 9 | 10,7 | -0.422164 | -1.000000 | -1.000000 | 0.00367661 |
| 9 | 10,8 | -0.185194 | -1.000000 | -1.000000 | 0.00367661 |
| 9 | 10,9 | 0.283901 | -1.000000 | -1.000000 | 0.00352341 |
| 10 | 2,A | -0.574413 | -0.169122 | -0.619581 | 0.00340294 |
| 10 | 3,A | -0.574328 | -0.201323 | -0.619722 | 0.00340294 |
| 10 | 3,2 | -0.577108 | -0.366105 | -1.154217 | 0.00339104 |
| 10 | 4,A | -0.574254 | -0.234754 | -0.622006 | 0.00340294 |
| 10 | 4,2 | -0.577033 | -0.390433 | -1.136721 | 0.00339104 |
| 10 | 4,3 | -0.576972 | -0.374231 | -1.032879 | 0.00339104 |
| 10 | 5,A | -0.574147 | -0.268877 | -0.627968 | 0.00340294 |
| 10 | 5,2 | -0.576952 | -0.372379 | -1.032856 | 0.00339104 |
| 10 | 5,3 | -0.576864 | -0.307883 | -0.842561 | 0.00339104 |
| 10 | 5,4 | -0.576788 | -0.216566 | -0.581435 | 0.00339104 |
| 10 | 6,A | -0.462762 | -0.255483 | -0.569612 | 0.00340294 |
| 10 | 6,2 | -0.577776 | -0.307890 | -0.844023 | 0.00339104 |
| 10 | 6,3 | -0.577689 | -0.217139 | -0.582864 | 0.00339104 |
| 10 | 6,4 | -0.577613 | -0.052955 | -0.160508 | 0.00339104 |
| 10 | 6,5 | -0.577507 | 0.031702 | 0.009251 | 0.00339104 |
| 10 | 7,A | -0.240631 | -0.206708 | -0.466103 | 0.00340294 |
| 10 | 7,2 | -0.574432 | -0.218866 | -0.581225 | 0.00339104 |
| 10 | 7,3 | -0.574345 | -0.053608 | -0.159991 | 0.00339104 |
| 10 | 7,4 | -0.574271 | 0.031064 | 0.009177 | 0.00339104 |
| 10 | 7,5 | -0.574146 | -0.429660 | -1.000000 | 0.00339104 |
| 10 | 7,6 | -0.574976 | -0.473574 | -1.000000 | 0.00339104 |
| 10 | 8,A | -0.015826 | -0.155528 | -0.365073 | 0.00340294 |
| 10 | 8,2 | -0.575013 | -0.053510 | -0.161206 | 0.00339104 |
| 10 | 8,3 | -0.574928 | 0.031027 | 0.007838 | 0.00339104 |
| 10 | 8,4 | -0.574835 | -0.429877 | -1.000000 | 0.00339104 |
| 10 | 8,5 | -0.574731 | -0.473006 | -1.000000 | 0.00339104 |
| 10 | 8,6 | -0.575560 | -0.507566 | -1.000000 | 0.00339104 |
| 10 | 8,7 | -0.572241 | -0.538616 | -1.000000 | 0.00339104 |
| 10 | 9,A | 0.438844 | -0.053434 | -0.163146 | 0.00340294 |
| 10 | 9,2 | -0.575555 | 0.030285 | 0.005074 | 0.00339104 |
| 10 | 9,3 | -0.575451 | -0.430314 | -1.000000 | 0.00339104 |
| 10 | 9,4 | -0.575379 | -0.466047 | -1.000000 | 0.00339104 |
| 10 | 9,5 | -0.575275 | -0.505807 | -1.000000 | 0.00339104 |
| 10 | 9,6 | -0.576104 | -0.543765 | -1.000000 | 0.00339104 |
| 10 | 9,7 | -0.572785 | -0.571478 | -1.000000 | 0.00339104 |
| 10 | 9,8 | -0.460470 | -1.000000 | -1.000000 | 0.00339104 |
| 10 | 10,A | 1.500000 | 0.033910 | 0.011439 | 0.01346998 |
| 10 | 10,2 | -0.576039 | -0.424152 | -1.000000 | 0.01342288 |
| 10 | 10,3 | -0.575955 | -0.465272 | -1.000000 | 0.01342288 |
| 10 | 10,4 | -0.575883 | -0.504799 | -1.000000 | 0.01342288 |
| 10 | 10,5 | -0.575779 | -0.542439 | -1.000000 | 0.01342288 |
| 10 | 10,6 | -0.576608 | -0.570817 | -1.000000 | 0.01342288 |
| 10 | 10,7 | -0.463626 | -1.000000 | -1.000000 | 0.01342288 |
| 10 | 10,8 | -0.238659 | -1.000000 | -1.000000 | 0.01342288 |
| 10 | 10,9 | -0.013620 | -1.000000 | -1.000000 | 0.01342288 |
Blackjack⼆⼗⼀点 附录9 -- 6副牌, 庄家在软17点停住不补
| 庄家 | 玩家 | 停住不补 | 补牌 | 加倍赌注 | 分牌 加倍 - 否 |
分牌 加倍 - 是 |
机率 |
|---|---|---|---|---|---|---|---|
| A | A,A | -0.770083 | -0.325986 | -1.048902 | -0.533716 | -0.533716 | 0.00027830 |
| A | 2,2 | -0.769759 | -0.485981 | -1.539519 | -0.971836 | -0.971836 | 0.00030360 |
| A | 3,3 | -0.769451 | -0.523778 | -1.519701 | -1.004808 | -1.004808 | 0.00030360 |
| A | 4,4 | -0.769049 | -0.447678 | -1.178220 | -1.060147 | -1.060147 | 0.00030360 |
| A | 5,5 | -0.768649 | -0.253552 | -0.623028 | -1.138381 | -1.138381 | 0.00030360 |
| A | 6,6 | -0.765244 | -0.556420 | -1.000000 | -1.123322 | -1.123322 | 0.00030360 |
| A | 7,7 | -0.766557 | -0.619978 | -1.000000 | -1.116635 | -1.116635 | 0.00030360 |
| A | 8,8 | -0.767877 | -0.664681 | -1.000000 | -0.922843 | -0.922843 | 0.00030360 |
| A | 9,9 | -0.374835 | -1.000000 | -1.000000 | -0.758362 | -0.758362 | 0.00030360 |
| A | 10,10 | 0.151246 | -1.000000 | -1.000000 | -0.688539 | -0.688539 | 0.00506302 |
| 2 | A,A | -0.289870 | 0.083842 | -0.063039 | 0.485870 | 0.485870 | 0.00044043 |
| 2 | 2,2 | -0.292530 | -0.114739 | -0.585060 | -0.153361 | -0.077684 | 0.00040372 |
| 2 | 3,3 | -0.292445 | -0.142183 | -0.563298 | -0.209728 | -0.133356 | 0.00044043 |
| 2 | 4,4 | -0.291830 | -0.019850 | -0.200240 | -0.263576 | -0.186888 | 0.00044043 |
| 2 | 5,5 | -0.287112 | 0.189215 | 0.373180 | -0.322951 | -0.278099 | 0.00044043 |
| 2 | 6,6 | -0.288075 | -0.253323 | -1.000000 | -0.274276 | -0.196702 | 0.00044043 |
| 2 | 7,7 | -0.289069 | -0.369250 | -1.000000 | -0.196447 | -0.119509 | 0.00044043 |
| 2 | 8,8 | -0.290038 | -0.468469 | -1.000000 | 0.007170 | 0.082116 | 0.00044043 |
| 2 | 9,9 | 0.124232 | -1.000000 | -1.000000 | 0.157256 | 0.198253 | 0.00044043 |
| 2 | 10,10 | 0.637885 | -1.000000 | -1.000000 | -0.024555 | -0.024555 | 0.00727662 |
| 3 | A,A | -0.248796 | 0.106038 | 0.002989 | 0.533182 | 0.533182 | 0.00044043 |
| 3 | 2,2 | -0.251293 | -0.082064 | -0.502586 | -0.096476 | -0.005954 | 0.00044043 |
| 3 | 3,3 | -0.250687 | -0.108263 | -0.480703 | -0.139334 | -0.049267 | 0.00040372 |
| 3 | 4,4 | -0.246007 | 0.011580 | -0.126731 | -0.185541 | -0.093463 | 0.00044043 |
| 3 | 5,5 | -0.245116 | 0.213958 | 0.425665 | -0.247489 | -0.192429 | 0.00044043 |
| 3 | 6,6 | -0.246070 | -0.231966 | -1.000000 | -0.196866 | -0.098544 | 0.00044043 |
| 3 | 7,7 | -0.247072 | -0.355164 | -1.000000 | -0.124884 | -0.027915 | 0.00044043 |
| 3 | 8,8 | -0.248413 | -0.461664 | -1.000000 | 0.070609 | 0.154853 | 0.00044043 |
| 3 | 9,9 | 0.144792 | -1.000000 | -1.000000 | 0.206285 | 0.252589 | 0.00044043 |
| 3 | 10,10 | 0.647984 | -1.000000 | -1.000000 | 0.024442 | 0.024442 | 0.00727662 |
| 4 | A,A | -0.205803 | 0.129004 | 0.071156 | 0.582709 | 0.582709 | 0.00044043 |
| 4 | 2,2 | -0.207678 | -0.046774 | -0.415355 | -0.036159 | 0.069722 | 0.00044043 |
| 4 | 3,3 | -0.203005 | -0.068783 | -0.386312 | -0.057537 | 0.049837 | 0.00044043 |
| 4 | 4,4 | -0.202102 | 0.048027 | -0.049346 | -0.105325 | 0.003626 | 0.00040372 |
| 4 | 5,5 | -0.201329 | 0.240560 | 0.481119 | -0.165747 | -0.096008 | 0.00044043 |
| 4 | 6,6 | -0.202253 | -0.210060 | -1.000000 | -0.114932 | 0.005071 | 0.00044043 |
| 4 | 7,7 | -0.203668 | -0.340486 | -1.000000 | -0.047634 | 0.072562 | 0.00044043 |
| 4 | 8,8 | -0.211502 | -0.456910 | -1.000000 | 0.129760 | 0.223524 | 0.00044043 |
| 4 | 9,9 | 0.174080 | -1.000000 | -1.000000 | 0.269646 | 0.320662 | 0.00044043 |
| 4 | 10,10 | 0.658450 | -1.000000 | -1.000000 | 0.075632 | 0.075632 | 0.00727662 |
| 5 | A,A | -0.160846 | 0.160724 | 0.140787 | 0.633923 | 0.633923 | 0.00044043 |
| 5 | 2,2 | -0.157959 | -0.004963 | -0.315919 | 0.051252 | 0.174515 | 0.00044043 |
| 5 | 3,3 | -0.157112 | -0.028184 | -0.295400 | 0.026425 | 0.154494 | 0.00044043 |
| 5 | 4,4 | -0.156310 | 0.083624 | 0.027678 | -0.020168 | 0.111900 | 0.00044043 |
| 5 | 5,5 | -0.155585 | 0.270245 | 0.540491 | -0.075471 | 0.012315 | 0.00040372 |
| 5 | 6,6 | -0.156998 | -0.188560 | -1.000000 | -0.029732 | 0.112973 | 0.00044043 |
| 5 | 7,7 | -0.164886 | -0.329183 | -1.000000 | 0.020214 | 0.160460 | 0.00044043 |
| 5 | 8,8 | -0.166521 | -0.449933 | -1.000000 | 0.200345 | 0.303949 | 0.00044043 |
| 5 | 9,9 | 0.200047 | -1.000000 | -1.000000 | 0.338242 | 0.394070 | 0.00044043 |
| 5 | 10,10 | 0.670892 | -1.000000 | -1.000000 | 0.131111 | 0.131111 | 0.00727662 |
| 6 | A,A | -0.145699 | 0.187974 | 0.190709 | 0.682366 | 0.682366 | 0.00044043 |
| 6 | 2,2 | -0.148979 | 0.014623 | -0.297957 | 0.097718 | 0.240682 | 0.00044043 |
| 6 | 3,3 | -0.148235 | -0.008642 | -0.271320 | 0.070576 | 0.216911 | 0.00044043 |
| 6 | 4,4 | -0.147552 | 0.124399 | 0.103556 | 0.017973 | 0.168189 | 0.00044043 |
| 6 | 5,5 | -0.146921 | 0.299427 | 0.598853 | -0.038793 | 0.062410 | 0.00044043 |
| 6 | 6,6 | -0.154706 | -0.173833 | -1.000000 | -0.001979 | 0.158580 | 0.00040372 |
| 6 | 7,7 | -0.156222 | -0.311022 | -1.000000 | 0.093478 | 0.249022 | 0.00044043 |
| 6 | 8,8 | -0.157495 | -0.425486 | -1.000000 | 0.292983 | 0.405899 | 0.00044043 |
| 6 | 9,9 | 0.280805 | -1.000000 | -1.000000 | 0.404149 | 0.464217 | 0.00044043 |
| 6 | 10,10 | 0.702826 | -1.000000 | -1.000000 | 0.175008 | 0.175008 | 0.00727662 |
| 7 | A,A | -0.471742 | 0.164333 | -0.176403 | 0.475600 | 0.475600 | 0.00044043 |
| 7 | 2,2 | -0.474621 | -0.088828 | -0.949243 | -0.048572 | 0.008597 | 0.00044043 |
| 7 | 3,3 | -0.473963 | -0.153797 | -0.890244 | -0.108445 | -0.051101 | 0.00044043 |
| 7 | 4,4 | -0.473283 | 0.086616 | -0.175100 | -0.227233 | -0.168774 | 0.00044043 |
| 7 | 5,5 | -0.476217 | 0.260394 | 0.404746 | -0.330901 | -0.297599 | 0.00044043 |
| 7 | 6,6 | -0.477738 | -0.220562 | -1.000000 | -0.311678 | -0.252905 | 0.00044043 |
| 7 | 7,7 | -0.479132 | -0.331784 | -1.000000 | -0.104889 | -0.048567 | 0.00040372 |
| 7 | 8,8 | -0.480181 | -0.408423 | -1.000000 | 0.264110 | 0.318876 | 0.00044043 |
| 7 | 9,9 | 0.399576 | -1.000000 | -1.000000 | 0.334524 | 0.364180 | 0.00044043 |
| 7 | 10,10 | 0.772011 | -1.000000 | -1.000000 | 0.061147 | 0.061147 | 0.00727662 |
| 8 | A,A | -0.508761 | 0.094585 | -0.311501 | 0.359708 | 0.359708 | 0.00044043 |
| 8 | 2,2 | -0.511247 | -0.156790 | -1.022494 | -0.215128 | -0.176794 | 0.00044043 |
| 8 | 3,3 | -0.510567 | -0.219182 | -1.001140 | -0.269600 | -0.230664 | 0.00044043 |
| 8 | 4,4 | -0.513431 | -0.059090 | -0.451036 | -0.365344 | -0.325801 | 0.00044043 |
| 8 | 5,5 | -0.513325 | 0.199537 | 0.293033 | -0.482786 | -0.459393 | 0.00044043 |
| 8 | 6,6 | -0.514636 | -0.279301 | -1.000000 | -0.456194 | -0.416429 | 0.00044043 |
| 8 | 7,7 | -0.515766 | -0.377709 | -1.000000 | -0.429288 | -0.390952 | 0.00044043 |
| 8 | 8,8 | -0.517509 | -0.453401 | -1.000000 | -0.065211 | -0.029242 | 0.00040372 |
| 8 | 9,9 | 0.099261 | -1.000000 | -1.000000 | 0.208880 | 0.229929 | 0.00044043 |
| 8 | 10,10 | 0.790420 | -1.000000 | -1.000000 | -0.090598 | -0.090598 | 0.00727662 |
| 9 | A,A | -0.538085 | -0.000333 | -0.450881 | 0.237754 | 0.237754 | 0.00044043 |
| 9 | 2,2 | -0.540137 | -0.237873 | -1.080275 | -0.403662 | -0.384407 | 0.00044043 |
| 9 | 3,3 | -0.543008 | -0.295264 | -1.067368 | -0.450388 | -0.431618 | 0.00044043 |
| 9 | 4,4 | -0.542865 | -0.209848 | -0.715694 | -0.527732 | -0.508478 | 0.00044043 |
| 9 | 5,5 | -0.542661 | 0.116653 | 0.149188 | -0.652355 | -0.638481 | 0.00044043 |
| 9 | 6,6 | -0.543905 | -0.347155 | -1.000000 | -0.621483 | -0.602063 | 0.00044043 |
| 9 | 7,7 | -0.545528 | -0.437912 | -1.000000 | -0.591483 | -0.573526 | 0.00044043 |
| 9 | 8,8 | -0.538890 | -0.505707 | -1.000000 | -0.408743 | -0.389950 | 0.00044043 |
| 9 | 9,9 | -0.185235 | -1.000000 | -1.000000 | -0.093583 | -0.081564 | 0.00040372 |
| 9 | 10,10 | 0.756075 | -1.000000 | -1.000000 | -0.257276 | -0.257276 | 0.00727662 |
| 10 | A,A | -0.571633 | -0.132786 | -0.612973 | 0.026636 | 0.026636 | 0.00163628 |
| 10 | 2,2 | -0.577194 | -0.342470 | -1.154387 | -0.639678 | -0.639678 | 0.00162488 |
| 10 | 3,3 | -0.577022 | -0.390056 | -1.136696 | -0.681983 | -0.681983 | 0.00162488 |
| 10 | 4,4 | -0.576896 | -0.306402 | -0.842579 | -0.749490 | -0.749490 | 0.00162488 |
| 10 | 5,5 | -0.576681 | -0.052625 | -0.159094 | -0.851351 | -0.851351 | 0.00162488 |
| 10 | 6,6 | -0.578295 | -0.429956 | -1.000000 | -0.831023 | -0.831023 | 0.00162488 |
| 10 | 7,7 | -0.571657 | -0.514913 | -1.000000 | -0.779904 | -0.779904 | 0.00162488 |
| 10 | 8,8 | -0.572826 | -0.571450 | -1.000000 | -0.616453 | -0.616453 | 0.00162488 |
| 10 | 9,9 | -0.235462 | -1.000000 | -1.000000 | -0.463112 | -0.463112 | 0.00162488 |
| 10 | 10,10 | 0.438046 | -1.000000 | -1.000000 | -0.420287 | -0.420287 | 0.02628648 |
内部连结
- 在其他规则的类似列表, 请查看我的 Blackjack⼆⼗⼀点 附录9
- 关于⼀般的Blackjack⼆⼗⼀点, 请查看我的 Blackjack⼆⼗⼀点 单元。
- Blackjack⼆⼗⼀点 House edge calculator赌场优势计算器.
- Blackjack⼆⼗⼀点 Hand calculator牌⾯计算器.