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Blackjack⼆⼗⼀點 期望回報率, ⼆副牌, 莊家在軟17點補 牌
簡介
以下為Blackjack⼆⼗⼀點在下列規則時、每⼀⼿原初牌⾯的期望回報 率。
- 2副牌
- 莊家在軟17點補牌
- 玩家可以再分牌到四⼿牌, 除了Aces例外
- Aces分牌之後不可再補牌
有三種列表, 第⼀種是玩家有兩張不同⼤⼩的牌、莊家沒有blackjack, 第⼆ 種是玩家有兩張同樣⼤⼩的牌、莊家沒有blackjack, 第三種是在莊家拿到 blackjack的時候。在第⼆種列表有兩個直欄的分牌狀況, ⼀個直欄是玩家 在分牌之後可以加倍賭注, 另⼀個直欄則是玩家不可以加倍賭注。
這種列表的數值是使⽤recursive combinatorial program遞迴組合程式運 算出來的, 考量在每⼀階段的精確牌⾯結構。對於分牌的數值, 程式只考量 玩家已經分牌到幾⼿牌、⾄於這些牌⾯⼜補了什麼牌則不予列⼊考慮。
遊戲的期望回報率:
- 玩家分牌之後可以加倍賭注: -0.003797
- 玩家分牌之後不可以加倍賭注: -0.005252
Blackjack⼆⼗⼀點 附錄9 -- 2副牌, 莊家在軟17點補牌 -- 玩家不可分牌
莊家 | 玩家 | 停住不補 | 補牌 | 加倍賭注 | 機率 |
---|---|---|---|---|---|
A | 2,A | -0.594150 | -0.103429 | -0.571816 | 0.00056023 |
A | 3,A | -0.593169 | -0.137018 | -0.570172 | 0.00056023 |
A | 3,2 | -0.592126 | -0.320313 | -1.184253 | 0.00064026 |
A | 4,A | -0.592080 | -0.178451 | -0.580261 | 0.00056023 |
A | 4,2 | -0.591222 | -0.351868 | -1.171187 | 0.00064026 |
A | 4,3 | -0.590338 | -0.362212 | -1.077576 | 0.00064026 |
A | 5,A | -0.592718 | -0.221872 | -0.598489 | 0.00056023 |
A | 5,2 | -0.591782 | -0.357274 | -1.080590 | 0.00064026 |
A | 5,3 | -0.590764 | -0.271027 | -0.823487 | 0.00064026 |
A | 5,4 | -0.589636 | -0.124218 | -0.438228 | 0.00064026 |
A | 6,A | -0.511565 | -0.224617 | -0.541393 | 0.00056023 |
A | 6,2 | -0.589526 | -0.270784 | -0.826132 | 0.00064026 |
A | 6,3 | -0.588515 | -0.125084 | -0.441418 | 0.00064026 |
A | 6,4 | -0.587412 | 0.038312 | -0.003909 | 0.00064026 |
A | 6,5 | -0.587564 | 0.121079 | 0.166650 | 0.00064026 |
A | 7,A | -0.224703 | -0.165428 | -0.416886 | 0.00056023 |
A | 7,2 | -0.586678 | -0.132352 | -0.446152 | 0.00064026 |
A | 7,3 | -0.585677 | 0.035903 | -0.010256 | 0.00064026 |
A | 7,4 | -0.584383 | 0.118882 | 0.161500 | 0.00064026 |
A | 7,5 | -0.584874 | -0.394705 | -0.837264 | 0.00064026 |
A | 7,6 | -0.582801 | -0.447078 | -0.923146 | 0.00064026 |
A | 8,A | 0.192556 | -0.068979 | -0.230106 | 0.00056023 |
A | 8,2 | -0.590011 | 0.035845 | -0.017464 | 0.00064026 |
A | 8,3 | -0.588832 | 0.117332 | 0.150867 | 0.00064026 |
A | 8,4 | -0.587742 | -0.393719 | -0.842649 | 0.00064026 |
A | 8,5 | -0.588245 | -0.443541 | -0.919889 | 0.00064026 |
A | 8,6 | -0.586172 | -0.472648 | -0.963082 | 0.00064026 |
A | 8,7 | -0.583562 | -0.495281 | -0.997462 | 0.00064026 |
A | 9,A | 0.613241 | 0.025607 | -0.049596 | 0.00056023 |
A | 9,2 | -0.593114 | 0.116041 | 0.141065 | 0.00064026 |
A | 9,3 | -0.592147 | -0.394213 | -0.850257 | 0.00064026 |
A | 9,4 | -0.591063 | -0.419451 | -0.875330 | 0.00064026 |
A | 9,5 | -0.591563 | -0.468095 | -0.953423 | 0.00064026 |
A | 9,6 | -0.589440 | -0.512262 | -1.032531 | 0.00064026 |
A | 9,7 | -0.586859 | -0.531624 | -1.063248 | 0.00064026 |
A | 9,8 | -0.503604 | -0.572583 | -1.145167 | 0.00064026 |
A | 10,A | 1.500000 | 0.107390 | 0.119512 | 0.00227339 |
A | 10,2 | -0.599990 | -0.381947 | -0.827562 | 0.00259816 |
A | 10,3 | -0.599028 | -0.424713 | -0.887981 | 0.00259816 |
A | 10,4 | -0.597967 | -0.468715 | -0.956232 | 0.00259816 |
A | 10,5 | -0.598424 | -0.515081 | -1.036243 | 0.00259816 |
A | 10,6 | -0.596497 | -0.535711 | -1.071423 | 0.00259816 |
A | 10,7 | -0.509914 | -0.578076 | -1.156152 | 0.00259816 |
A | 10,8 | -0.218577 | -0.641955 | -1.283911 | 0.00259816 |
A | 10,9 | 0.200106 | -0.738688 | -1.477375 | 0.00259816 |
2 | 2,A | -0.282107 | 0.043477 | -0.053532 | 0.00082004 |
2 | 3,A | -0.282189 | 0.020601 | -0.055156 | 0.00093719 |
2 | 3,2 | -0.285594 | -0.126538 | -0.571189 | 0.00082004 |
2 | 4,A | -0.282017 | -0.004415 | -0.066429 | 0.00093719 |
2 | 4,2 | -0.285221 | -0.141992 | -0.550009 | 0.00082004 |
2 | 4,3 | -0.285306 | -0.114432 | -0.425872 | 0.00093719 |
2 | 5,A | -0.273946 | -0.024758 | -0.072938 | 0.00093719 |
2 | 5,2 | -0.277073 | -0.104443 | -0.414360 | 0.00082004 |
2 | 5,3 | -0.277158 | -0.020915 | -0.187089 | 0.00093719 |
2 | 5,4 | -0.276760 | 0.082575 | 0.086204 | 0.00093719 |
2 | 6,A | -0.145232 | 0.002585 | 0.002413 | 0.00093719 |
2 | 6,2 | -0.278555 | -0.019699 | -0.185795 | 0.00082004 |
2 | 6,3 | -0.278615 | 0.081427 | 0.084527 | 0.00093719 |
2 | 6,4 | -0.278025 | 0.198485 | 0.393480 | 0.00093719 |
2 | 6,5 | -0.269980 | 0.259967 | 0.517177 | 0.00093719 |
2 | 7,A | 0.118882 | 0.061594 | 0.119481 | 0.00093719 |
2 | 7,2 | -0.280112 | 0.077111 | 0.086424 | 0.00082004 |
2 | 7,3 | -0.279988 | 0.196663 | 0.389953 | 0.00093719 |
2 | 7,4 | -0.279590 | 0.254568 | 0.505427 | 0.00093719 |
2 | 7,5 | -0.271561 | -0.253303 | -0.506607 | 0.00093719 |
2 | 7,6 | -0.273062 | -0.320347 | -0.640694 | 0.00093719 |
2 | 8,A | 0.386326 | 0.120025 | 0.236476 | 0.00093719 |
2 | 8,2 | -0.281358 | 0.195461 | 0.388165 | 0.00082004 |
2 | 8,3 | -0.281434 | 0.252036 | 0.500498 | 0.00093719 |
2 | 8,4 | -0.281050 | -0.256746 | -0.513492 | 0.00093719 |
2 | 8,5 | -0.273021 | -0.319981 | -0.639962 | 0.00093719 |
2 | 8,6 | -0.274499 | -0.363793 | -0.727586 | 0.00093719 |
2 | 8,7 | -0.276313 | -0.405814 | -0.811628 | 0.00093719 |
2 | 9,A | 0.643124 | 0.184924 | 0.366865 | 0.00093719 |
2 | 9,2 | -0.283482 | 0.249610 | 0.495811 | 0.00082004 |
2 | 9,3 | -0.283557 | -0.260052 | -0.520103 | 0.00093719 |
2 | 9,4 | -0.283170 | -0.301099 | -0.602198 | 0.00093719 |
2 | 9,5 | -0.275138 | -0.361847 | -0.723694 | 0.00093719 |
2 | 9,6 | -0.276866 | -0.425021 | -0.850043 | 0.00093719 |
2 | 9,7 | -0.278447 | -0.465915 | -0.931830 | 0.00093719 |
2 | 9,8 | -0.148342 | -0.535286 | -1.070573 | 0.00093719 |
2 | 10,A | 1.500000 | 0.241925 | 0.477783 | 0.00374877 |
2 | 10,2 | -0.295189 | -0.249031 | -0.498063 | 0.00328018 |
2 | 10,3 | -0.295261 | -0.306724 | -0.613447 | 0.00374877 |
2 | 10,4 | -0.294887 | -0.366201 | -0.732403 | 0.00374877 |
2 | 10,5 | -0.287080 | -0.427789 | -0.855578 | 0.00374877 |
2 | 10,6 | -0.288567 | -0.470392 | -0.940783 | 0.00374877 |
2 | 10,7 | -0.158751 | -0.539132 | -1.078264 | 0.00374877 |
2 | 10,8 | 0.108622 | -0.628466 | -1.256931 | 0.00374877 |
2 | 10,9 | 0.377408 | -0.739552 | -1.479103 | 0.00374877 |
3 | 2,A | -0.241160 | 0.072910 | 0.014117 | 0.00093719 |
3 | 3,A | -0.241006 | 0.048392 | 0.006064 | 0.00082004 |
3 | 3,2 | -0.244219 | -0.093791 | -0.488438 | 0.00082004 |
3 | 4,A | -0.232931 | 0.027319 | 0.001707 | 0.00093719 |
3 | 4,2 | -0.236053 | -0.103414 | -0.453237 | 0.00093719 |
3 | 4,3 | -0.235686 | -0.077893 | -0.336694 | 0.00082004 |
3 | 5,A | -0.231565 | 0.004684 | -0.009651 | 0.00093719 |
3 | 5,2 | -0.234705 | -0.068809 | -0.330757 | 0.00093719 |
3 | 5,3 | -0.234327 | 0.012528 | -0.109967 | 0.00082004 |
3 | 5,4 | -0.226046 | 0.119201 | 0.156810 | 0.00093719 |
3 | 6,A | -0.107626 | 0.031964 | 0.063928 | 0.00093719 |
3 | 6,2 | -0.236071 | 0.013827 | -0.108844 | 0.00093719 |
3 | 6,3 | -0.235498 | 0.118129 | 0.153057 | 0.00082004 |
3 | 6,4 | -0.227421 | 0.226447 | 0.452894 | 0.00093719 |
3 | 6,5 | -0.226063 | 0.285780 | 0.571561 | 0.00093719 |
3 | 7,A | 0.149046 | 0.089823 | 0.179646 | 0.00093719 |
3 | 7,2 | -0.237500 | 0.113862 | 0.154799 | 0.00093719 |
3 | 7,3 | -0.237126 | 0.224558 | 0.448288 | 0.00082004 |
3 | 7,4 | -0.229054 | 0.281506 | 0.563012 | 0.00093719 |
3 | 7,5 | -0.227715 | -0.228334 | -0.456668 | 0.00093719 |
3 | 7,6 | -0.229096 | -0.298347 | -0.596694 | 0.00093719 |
3 | 8,A | 0.405716 | 0.158974 | 0.317473 | 0.00093719 |
3 | 8,2 | -0.239595 | 0.221984 | 0.443322 | 0.00093719 |
3 | 8,3 | -0.239223 | 0.276720 | 0.552896 | 0.00082004 |
3 | 8,4 | -0.231174 | -0.231937 | -0.463874 | 0.00093719 |
3 | 8,5 | -0.229812 | -0.298894 | -0.597788 | 0.00093719 |
3 | 8,6 | -0.231449 | -0.349030 | -0.698060 | 0.00093719 |
3 | 8,7 | -0.233079 | -0.395695 | -0.791390 | 0.00093719 |
3 | 9,A | 0.643900 | 0.200617 | 0.400317 | 0.00093719 |
3 | 9,2 | -0.251824 | 0.264459 | 0.528002 | 0.00093719 |
3 | 9,3 | -0.251458 | -0.244286 | -0.488572 | 0.00082004 |
3 | 9,4 | -0.243398 | -0.286242 | -0.572484 | 0.00093719 |
3 | 9,5 | -0.242282 | -0.352948 | -0.705896 | 0.00093719 |
3 | 9,6 | -0.243671 | -0.420008 | -0.840016 | 0.00093719 |
3 | 9,7 | -0.245316 | -0.463117 | -0.926235 | 0.00093719 |
3 | 9,8 | -0.120980 | -0.535015 | -1.070031 | 0.00093719 |
3 | 10,A | 1.500000 | 0.264888 | 0.526367 | 0.00374877 |
3 | 10,2 | -0.253886 | -0.226933 | -0.453867 | 0.00374877 |
3 | 10,3 | -0.253531 | -0.287726 | -0.575451 | 0.00328018 |
3 | 10,4 | -0.245696 | -0.352790 | -0.705581 | 0.00374877 |
3 | 10,5 | -0.244333 | -0.418831 | -0.837661 | 0.00374877 |
3 | 10,6 | -0.245737 | -0.464355 | -0.928710 | 0.00374877 |
3 | 10,7 | -0.120718 | -0.535606 | -1.071212 | 0.00374877 |
3 | 10,8 | 0.137349 | -0.627587 | -1.255175 | 0.00374877 |
3 | 10,9 | 0.387781 | -0.720908 | -1.441815 | 0.00374877 |
4 | 2,A | -0.193757 | 0.107026 | 0.089626 | 0.00093719 |
4 | 3,A | -0.185697 | 0.086531 | 0.087059 | 0.00093719 |
4 | 3,2 | -0.188445 | -0.048353 | -0.376890 | 0.00093719 |
4 | 4,A | -0.184149 | 0.061577 | 0.074250 | 0.00082004 |
4 | 4,2 | -0.186897 | -0.060899 | -0.354544 | 0.00082004 |
4 | 4,3 | -0.178737 | -0.029323 | -0.227615 | 0.00082004 |
4 | 5,A | -0.183054 | 0.040315 | 0.063048 | 0.00093719 |
4 | 5,2 | -0.185815 | -0.026426 | -0.236190 | 0.00093719 |
4 | 5,3 | -0.177550 | 0.060352 | -0.016050 | 0.00093719 |
4 | 5,4 | -0.175970 | 0.156833 | 0.235379 | 0.00082004 |
4 | 6,A | -0.061667 | 0.067717 | 0.135433 | 0.00093719 |
4 | 6,2 | -0.187007 | 0.057719 | -0.024684 | 0.00093719 |
4 | 6,3 | -0.178943 | 0.155291 | 0.232237 | 0.00093719 |
4 | 6,4 | -0.177379 | 0.259647 | 0.519293 | 0.00082004 |
4 | 6,5 | -0.176304 | 0.315857 | 0.631713 | 0.00093719 |
4 | 7,A | 0.180897 | 0.134886 | 0.269771 | 0.00093719 |
4 | 7,2 | -0.189346 | 0.146561 | 0.223733 | 0.00093719 |
4 | 7,3 | -0.181295 | 0.256345 | 0.512691 | 0.00093719 |
4 | 7,4 | -0.179753 | 0.311587 | 0.623175 | 0.00082004 |
4 | 7,5 | -0.178662 | -0.203561 | -0.407122 | 0.00093719 |
4 | 7,6 | -0.180312 | -0.276540 | -0.553080 | 0.00093719 |
4 | 8,A | 0.413699 | 0.179824 | 0.359647 | 0.00093719 |
4 | 8,2 | -0.201547 | 0.240801 | 0.481603 | 0.00093719 |
4 | 8,3 | -0.193507 | 0.297449 | 0.594898 | 0.00093719 |
4 | 8,4 | -0.191942 | -0.214139 | -0.428278 | 0.00082004 |
4 | 8,5 | -0.191097 | -0.283470 | -0.566941 | 0.00093719 |
4 | 8,6 | -0.192512 | -0.337433 | -0.674865 | 0.00093719 |
4 | 8,7 | -0.194877 | -0.389644 | -0.779288 | 0.00093719 |
4 | 9,A | 0.653683 | 0.229168 | 0.458337 | 0.00093719 |
4 | 9,2 | -0.203947 | 0.291135 | 0.582271 | 0.00093719 |
4 | 9,3 | -0.195904 | -0.219573 | -0.439147 | 0.00093719 |
4 | 9,4 | -0.194580 | -0.265184 | -0.530368 | 0.00082004 |
4 | 9,5 | -0.193495 | -0.336456 | -0.672911 | 0.00093719 |
4 | 9,6 | -0.194905 | -0.408969 | -0.817939 | 0.00093719 |
4 | 9,7 | -0.197277 | -0.456626 | -0.913252 | 0.00093719 |
4 | 9,8 | -0.085153 | -0.535274 | -1.070547 | 0.00093719 |
4 | 10,A | 1.500000 | 0.289897 | 0.579795 | 0.00374877 |
4 | 10,2 | -0.206125 | -0.204205 | -0.408411 | 0.00374877 |
4 | 10,3 | -0.198306 | -0.266807 | -0.533613 | 0.00374877 |
4 | 10,4 | -0.196747 | -0.336606 | -0.673211 | 0.00328018 |
4 | 10,5 | -0.195654 | -0.408069 | -0.816137 | 0.00374877 |
4 | 10,6 | -0.197073 | -0.457372 | -0.914743 | 0.00374877 |
4 | 10,7 | -0.075457 | -0.532597 | -1.065194 | 0.00374877 |
4 | 10,8 | 0.160381 | -0.608518 | -1.217035 | 0.00374877 |
4 | 10,9 | 0.406488 | -0.719949 | -1.439898 | 0.00374877 |
5 | 2,A | -0.141651 | 0.145875 | 0.169234 | 0.00093719 |
5 | 3,A | -0.140316 | 0.124142 | 0.164993 | 0.00093719 |
5 | 3,2 | -0.134777 | -0.000977 | -0.269554 | 0.00093719 |
5 | 4,A | -0.139032 | 0.099979 | 0.150790 | 0.00093719 |
5 | 4,2 | -0.133500 | -0.012577 | -0.249341 | 0.00093719 |
5 | 4,3 | -0.132048 | 0.019779 | -0.133976 | 0.00093719 |
5 | 5,A | -0.137943 | 0.077844 | 0.137044 | 0.00082004 |
5 | 5,2 | -0.132298 | 0.023462 | -0.138268 | 0.00082004 |
5 | 5,3 | -0.130948 | 0.103542 | 0.074691 | 0.00082004 |
5 | 5,4 | -0.129646 | 0.199504 | 0.323860 | 0.00082004 |
5 | 6,A | -0.022113 | 0.114717 | 0.229434 | 0.00093719 |
5 | 6,2 | -0.134617 | 0.098745 | 0.063497 | 0.00093719 |
5 | 6,3 | -0.133267 | 0.194276 | 0.313244 | 0.00093719 |
5 | 6,4 | -0.131979 | 0.295335 | 0.590670 | 0.00093719 |
5 | 6,5 | -0.130880 | 0.348322 | 0.696644 | 0.00082004 |
5 | 7,A | 0.207314 | 0.160272 | 0.320545 | 0.00093719 |
5 | 7,2 | -0.147046 | 0.175762 | 0.285601 | 0.00093719 |
5 | 7,3 | -0.145709 | 0.280815 | 0.561629 | 0.00093719 |
5 | 7,4 | -0.144408 | 0.333526 | 0.667053 | 0.00093719 |
5 | 7,5 | -0.143552 | -0.185914 | -0.371827 | 0.00082004 |
5 | 7,6 | -0.145885 | -0.263317 | -0.526633 | 0.00093719 |
5 | 8,A | 0.447486 | 0.214179 | 0.428357 | 0.00093719 |
5 | 8,2 | -0.149529 | 0.275268 | 0.550537 | 0.00093719 |
5 | 8,3 | -0.148179 | 0.327733 | 0.655466 | 0.00093719 |
5 | 8,4 | -0.147124 | -0.190239 | -0.380478 | 0.00093719 |
5 | 8,5 | -0.146020 | -0.263919 | -0.527838 | 0.00082004 |
5 | 8,6 | -0.148358 | -0.320019 | -0.640037 | 0.00093719 |
5 | 8,7 | -0.160788 | -0.380111 | -0.760222 | 0.00093719 |
5 | 9,A | 0.674583 | 0.261623 | 0.523246 | 0.00093719 |
5 | 9,2 | -0.151457 | 0.322721 | 0.645443 | 0.00093719 |
5 | 9,3 | -0.150354 | -0.195216 | -0.390432 | 0.00093719 |
5 | 9,4 | -0.149055 | -0.245568 | -0.491136 | 0.00093719 |
5 | 9,5 | -0.147951 | -0.318434 | -0.636868 | 0.00082004 |
5 | 9,6 | -0.150290 | -0.394530 | -0.789061 | 0.00093719 |
5 | 9,7 | -0.162727 | -0.451569 | -0.903138 | 0.00093719 |
5 | 9,8 | -0.045826 | -0.508984 | -1.017969 | 0.00093719 |
5 | 10,A | 1.500000 | 0.318946 | 0.637891 | 0.00374877 |
5 | 10,2 | -0.153697 | -0.179113 | -0.358225 | 0.00374877 |
5 | 10,3 | -0.152346 | -0.247037 | -0.494073 | 0.00374877 |
5 | 10,4 | -0.151050 | -0.318649 | -0.637299 | 0.00374877 |
5 | 10,5 | -0.149947 | -0.393164 | -0.786329 | 0.00328018 |
5 | 10,6 | -0.152291 | -0.448074 | -0.896148 | 0.00374877 |
5 | 10,7 | -0.045297 | -0.508948 | -1.017896 | 0.00374877 |
5 | 10,8 | 0.196670 | -0.603766 | -1.207532 | 0.00374877 |
5 | 10,9 | 0.440237 | -0.717813 | -1.435626 | 0.00374877 |
6 | 2,A | -0.103873 | 0.169299 | 0.220744 | 0.00093719 |
6 | 3,A | -0.102624 | 0.149176 | 0.217147 | 0.00093719 |
6 | 3,2 | -0.103191 | 0.027607 | -0.206382 | 0.00093719 |
6 | 4,A | -0.101478 | 0.127506 | 0.207197 | 0.00093719 |
6 | 4,2 | -0.101935 | 0.020378 | -0.186556 | 0.00093719 |
6 | 4,3 | -0.100667 | 0.046958 | -0.075130 | 0.00093719 |
6 | 5,A | -0.101190 | 0.116167 | 0.214204 | 0.00093719 |
6 | 5,2 | -0.101826 | 0.050816 | -0.078271 | 0.00093719 |
6 | 5,3 | -0.100559 | 0.127095 | 0.125379 | 0.00093719 |
6 | 5,4 | -0.099397 | 0.219201 | 0.365198 | 0.00093719 |
6 | 6,A | -0.003090 | 0.128756 | 0.257512 | 0.00082004 |
6 | 6,2 | -0.114257 | 0.112259 | 0.094361 | 0.00082004 |
6 | 6,3 | -0.112996 | 0.203962 | 0.334636 | 0.00082004 |
6 | 6,4 | -0.111834 | 0.303736 | 0.607471 | 0.00082004 |
6 | 6,5 | -0.111971 | 0.355332 | 0.710663 | 0.00082004 |
6 | 7,A | 0.220300 | 0.179925 | 0.359850 | 0.00093719 |
6 | 7,2 | -0.116747 | 0.193795 | 0.323687 | 0.00093719 |
6 | 7,3 | -0.115485 | 0.297307 | 0.594614 | 0.00093719 |
6 | 7,4 | -0.114550 | 0.349204 | 0.698407 | 0.00093719 |
6 | 7,5 | -0.114445 | -0.175071 | -0.350143 | 0.00093719 |
6 | 7,6 | -0.126873 | -0.260701 | -0.521402 | 0.00082004 |
6 | 8,A | 0.450275 | 0.232007 | 0.464014 | 0.00093719 |
6 | 8,2 | -0.118628 | 0.291989 | 0.583978 | 0.00093719 |
6 | 8,3 | -0.117601 | 0.343664 | 0.687328 | 0.00093719 |
6 | 8,4 | -0.116430 | -0.178139 | -0.356278 | 0.00093719 |
6 | 8,5 | -0.116321 | -0.254757 | -0.509513 | 0.00093719 |
6 | 8,6 | -0.128756 | -0.318456 | -0.636912 | 0.00082004 |
6 | 8,7 | -0.131248 | -0.373963 | -0.747927 | 0.00093719 |
6 | 9,A | 0.676013 | 0.279298 | 0.558595 | 0.00093719 |
6 | 9,2 | -0.120945 | 0.338435 | 0.676869 | 0.00093719 |
6 | 9,3 | -0.119678 | -0.183190 | -0.366380 | 0.00093719 |
6 | 9,4 | -0.118510 | -0.235709 | -0.471419 | 0.00093719 |
6 | 9,5 | -0.118402 | -0.311350 | -0.622700 | 0.00093719 |
6 | 9,6 | -0.130841 | -0.392652 | -0.785304 | 0.00082004 |
6 | 9,7 | -0.133001 | -0.426706 | -0.853412 | 0.00093719 |
6 | 9,8 | -0.017880 | -0.507026 | -1.014052 | 0.00093719 |
6 | 10,A | 1.500000 | 0.335943 | 0.671886 | 0.00374877 |
6 | 10,2 | -0.122380 | -0.166777 | -0.333555 | 0.00374877 |
6 | 10,3 | -0.121119 | -0.236895 | -0.473790 | 0.00374877 |
6 | 10,4 | -0.119950 | -0.310606 | -0.621212 | 0.00374877 |
6 | 10,5 | -0.119841 | -0.386197 | -0.772395 | 0.00374877 |
6 | 10,6 | -0.131948 | -0.426495 | -0.852990 | 0.00328018 |
6 | 10,7 | -0.017509 | -0.506975 | -1.013950 | 0.00374877 |
6 | 10,8 | 0.213657 | -0.603162 | -1.206325 | 0.00374877 |
6 | 10,9 | 0.445120 | -0.717582 | -1.435163 | 0.00374877 |
7 | 2,A | -0.468732 | 0.115420 | -0.170646 | 0.00093719 |
7 | 3,A | -0.467811 | 0.070361 | -0.179066 | 0.00093719 |
7 | 3,2 | -0.472119 | -0.119474 | -0.944238 | 0.00093719 |
7 | 4,A | -0.466670 | 0.035241 | -0.163232 | 0.00093719 |
7 | 4,2 | -0.471060 | -0.157581 | -0.882431 | 0.00093719 |
7 | 4,3 | -0.470122 | -0.069733 | -0.566481 | 0.00093719 |
7 | 5,A | -0.471345 | -0.014048 | -0.185731 | 0.00093719 |
7 | 5,2 | -0.475744 | -0.068246 | -0.577813 | 0.00093719 |
7 | 5,3 | -0.474810 | 0.087228 | -0.160229 | 0.00093719 |
7 | 5,4 | -0.473738 | 0.185696 | 0.146486 | 0.00093719 |
7 | 6,A | -0.097990 | 0.056572 | 0.000677 | 0.00093719 |
7 | 6,2 | -0.478031 | 0.087274 | -0.167517 | 0.00093719 |
7 | 6,3 | -0.477079 | 0.184615 | 0.139619 | 0.00093719 |
7 | 6,4 | -0.476256 | 0.271053 | 0.433498 | 0.00093719 |
7 | 6,5 | -0.480916 | 0.295496 | 0.482822 | 0.00093719 |
7 | 7,A | 0.406211 | 0.173677 | 0.230736 | 0.00082004 |
7 | 7,2 | -0.480113 | 0.178602 | 0.132272 | 0.00082004 |
7 | 7,3 | -0.479403 | 0.267143 | 0.419128 | 0.00082004 |
7 | 7,4 | -0.478344 | 0.293804 | 0.476435 | 0.00082004 |
7 | 7,5 | -0.483004 | -0.233995 | -0.542893 | 0.00082004 |
7 | 7,6 | -0.485288 | -0.298211 | -0.647041 | 0.00082004 |
7 | 8,A | 0.615245 | 0.221501 | 0.322230 | 0.00093719 |
7 | 8,2 | -0.481516 | 0.262056 | 0.404348 | 0.00093719 |
7 | 8,3 | -0.480568 | 0.292116 | 0.467800 | 0.00093719 |
7 | 8,4 | -0.479510 | -0.228519 | -0.534108 | 0.00093719 |
7 | 8,5 | -0.484173 | -0.297051 | -0.644387 | 0.00093719 |
7 | 8,6 | -0.486492 | -0.334295 | -0.699743 | 0.00093719 |
7 | 8,7 | -0.488255 | -0.347657 | -0.708659 | 0.00082004 |
7 | 9,A | 0.773306 | 0.250001 | 0.372549 | 0.00093719 |
7 | 9,2 | -0.484205 | 0.290775 | 0.459573 | 0.00093719 |
7 | 9,3 | -0.483263 | -0.229396 | -0.541524 | 0.00093719 |
7 | 9,4 | -0.482203 | -0.271343 | -0.593311 | 0.00093719 |
7 | 9,5 | -0.486883 | -0.334046 | -0.696404 | 0.00093719 |
7 | 9,6 | -0.488838 | -0.366618 | -0.746713 | 0.00093719 |
7 | 9,7 | -0.490997 | -0.395393 | -0.790786 | 0.00082004 |
7 | 9,8 | -0.115314 | -0.466834 | -0.933668 | 0.00093719 |
7 | 10,A | 1.500000 | 0.289207 | 0.465414 | 0.00374877 |
7 | 10,2 | -0.474068 | -0.212296 | -0.501185 | 0.00374877 |
7 | 10,3 | -0.473130 | -0.269685 | -0.585144 | 0.00374877 |
7 | 10,4 | -0.472085 | -0.331372 | -0.686850 | 0.00374877 |
7 | 10,5 | -0.476583 | -0.367207 | -0.742763 | 0.00374877 |
7 | 10,6 | -0.478934 | -0.395986 | -0.791972 | 0.00374877 |
7 | 10,7 | -0.113423 | -0.467984 | -0.935968 | 0.00328018 |
7 | 10,8 | 0.394125 | -0.579526 | -1.159052 | 0.00374877 |
7 | 10,9 | 0.613132 | -0.707224 | -1.414448 | 0.00374877 |
8 | 2,A | -0.509038 | 0.047092 | -0.313413 | 0.00093719 |
8 | 3,A | -0.507898 | 0.023364 | -0.285539 | 0.00093719 |
8 | 3,2 | -0.511663 | -0.184992 | -1.023327 | 0.00093719 |
8 | 4,A | -0.512353 | -0.031172 | -0.314136 | 0.00093719 |
8 | 4,2 | -0.516122 | -0.225061 | -1.011795 | 0.00093719 |
8 | 4,3 | -0.515063 | -0.218958 | -0.847888 | 0.00093719 |
8 | 5,A | -0.512296 | -0.074952 | -0.322914 | 0.00093719 |
8 | 5,2 | -0.516059 | -0.213954 | -0.849797 | 0.00093719 |
8 | 5,3 | -0.514988 | -0.058521 | -0.440119 | 0.00093719 |
8 | 5,4 | -0.519673 | 0.103089 | -0.012421 | 0.00093719 |
8 | 6,A | -0.383757 | -0.069230 | -0.243292 | 0.00093719 |
8 | 6,2 | -0.517750 | -0.057871 | -0.445343 | 0.00093719 |
8 | 6,3 | -0.516927 | 0.107275 | -0.006958 | 0.00093719 |
8 | 6,4 | -0.521368 | 0.202873 | 0.301684 | 0.00093719 |
8 | 6,5 | -0.521285 | 0.230293 | 0.358694 | 0.00093719 |
8 | 7,A | 0.112712 | 0.043676 | -0.023938 | 0.00093719 |
8 | 7,2 | -0.519528 | 0.102664 | -0.011180 | 0.00093719 |
8 | 7,3 | -0.518464 | 0.206785 | 0.305370 | 0.00093719 |
8 | 7,4 | -0.522910 | 0.226186 | 0.345736 | 0.00093719 |
8 | 7,5 | -0.522830 | -0.295155 | -0.661379 | 0.00093719 |
8 | 7,6 | -0.524566 | -0.357661 | -0.764108 | 0.00093719 |
8 | 8,A | 0.600309 | 0.154490 | 0.191933 | 0.00082004 |
8 | 8,2 | -0.522226 | 0.201999 | 0.289844 | 0.00082004 |
8 | 8,3 | -0.521169 | 0.225495 | 0.340640 | 0.00082004 |
8 | 8,4 | -0.525614 | -0.294556 | -0.665672 | 0.00082004 |
8 | 8,5 | -0.525551 | -0.354027 | -0.757300 | 0.00082004 |
8 | 8,6 | -0.526923 | -0.370560 | -0.770247 | 0.00082004 |
8 | 8,7 | -0.528534 | -0.398844 | -0.810584 | 0.00082004 |
8 | 9,A | 0.788331 | 0.185043 | 0.258780 | 0.00093719 |
8 | 9,2 | -0.512099 | 0.222775 | 0.339415 | 0.00093719 |
8 | 9,3 | -0.511043 | -0.293204 | -0.658421 | 0.00093719 |
8 | 9,4 | -0.515505 | -0.330989 | -0.707004 | 0.00093719 |
8 | 9,5 | -0.515260 | -0.370900 | -0.763867 | 0.00093719 |
8 | 9,6 | -0.517028 | -0.418707 | -0.848320 | 0.00093719 |
8 | 9,7 | -0.518639 | -0.443663 | -0.887326 | 0.00093719 |
8 | 9,8 | -0.398522 | -0.491245 | -0.982490 | 0.00082004 |
8 | 10,A | 1.500000 | 0.225584 | 0.341862 | 0.00374877 |
8 | 10,2 | -0.513895 | -0.272918 | -0.620728 | 0.00374877 |
8 | 10,3 | -0.512852 | -0.326012 | -0.698186 | 0.00374877 |
8 | 10,4 | -0.517131 | -0.364851 | -0.753157 | 0.00374877 |
8 | 10,5 | -0.517084 | -0.417242 | -0.842575 | 0.00374877 |
8 | 10,6 | -0.518852 | -0.442171 | -0.884343 | 0.00374877 |
8 | 10,7 | -0.388541 | -0.490539 | -0.981079 | 0.00374877 |
8 | 10,8 | 0.100441 | -0.578564 | -1.157128 | 0.00328018 |
8 | 10,9 | 0.585476 | -0.705728 | -1.411456 | 0.00374877 |
9 | 2,A | -0.530702 | -0.026478 | -0.415935 | 0.00093719 |
9 | 3,A | -0.535194 | -0.067765 | -0.425809 | 0.00093719 |
9 | 3,2 | -0.538281 | -0.264622 | -1.076562 | 0.00093719 |
9 | 4,A | -0.534956 | -0.112885 | -0.439725 | 0.00093719 |
9 | 4,2 | -0.538044 | -0.298318 | -1.057028 | 0.00093719 |
9 | 4,3 | -0.542516 | -0.294654 | -0.951743 | 0.00093719 |
9 | 5,A | -0.534609 | -0.157242 | -0.454436 | 0.00093719 |
9 | 5,2 | -0.537681 | -0.285291 | -0.942305 | 0.00093719 |
9 | 5,3 | -0.542395 | -0.213878 | -0.710402 | 0.00093719 |
9 | 5,4 | -0.542137 | -0.051958 | -0.290132 | 0.00093719 |
9 | 6,A | -0.415301 | -0.142237 | -0.373972 | 0.00093719 |
9 | 6,2 | -0.539807 | -0.209270 | -0.705207 | 0.00093719 |
9 | 6,3 | -0.544275 | -0.051695 | -0.294881 | 0.00093719 |
9 | 6,4 | -0.544020 | 0.117088 | 0.154562 | 0.00093719 |
9 | 6,5 | -0.543651 | 0.155447 | 0.234280 | 0.00093719 |
9 | 7,A | -0.181370 | -0.093889 | -0.273400 | 0.00093719 |
9 | 7,2 | -0.542119 | -0.052203 | -0.288469 | 0.00093719 |
9 | 7,3 | -0.546594 | 0.117026 | 0.148805 | 0.00093719 |
9 | 7,4 | -0.546339 | 0.154012 | 0.226106 | 0.00093719 |
9 | 7,5 | -0.545988 | -0.363849 | -0.780357 | 0.00093719 |
9 | 7,6 | -0.547545 | -0.402296 | -0.837776 | 0.00093719 |
9 | 8,A | 0.287702 | 0.006449 | -0.067212 | 0.00093719 |
9 | 8,2 | -0.532000 | 0.117940 | 0.158168 | 0.00093719 |
9 | 8,3 | -0.536478 | 0.149199 | 0.221597 | 0.00093719 |
9 | 8,4 | -0.536240 | -0.366689 | -0.784010 | 0.00093719 |
9 | 8,5 | -0.535707 | -0.399877 | -0.827419 | 0.00093719 |
9 | 8,6 | -0.537660 | -0.433777 | -0.882562 | 0.00093719 |
9 | 8,7 | -0.540028 | -0.457744 | -0.921685 | 0.00093719 |
9 | 9,A | 0.761849 | 0.106504 | 0.127087 | 0.00082004 |
9 | 9,2 | -0.533804 | 0.150757 | 0.220808 | 0.00082004 |
9 | 9,3 | -0.538295 | -0.365198 | -0.787128 | 0.00082004 |
9 | 9,4 | -0.537875 | -0.376489 | -0.783989 | 0.00082004 |
9 | 9,5 | -0.537540 | -0.428554 | -0.869564 | 0.00082004 |
9 | 9,6 | -0.539493 | -0.475410 | -0.957130 | 0.00082004 |
9 | 9,7 | -0.541862 | -0.496081 | -0.992162 | 0.00082004 |
9 | 9,8 | -0.417488 | -0.542975 | -1.085950 | 0.00082004 |
9 | 10,A | 1.500000 | 0.153536 | 0.222117 | 0.00374877 |
9 | 10,2 | -0.535500 | -0.342118 | -0.741526 | 0.00374877 |
9 | 10,3 | -0.539809 | -0.373504 | -0.780838 | 0.00374877 |
9 | 10,4 | -0.539587 | -0.422586 | -0.859574 | 0.00374877 |
9 | 10,5 | -0.539252 | -0.473409 | -0.950271 | 0.00374877 |
9 | 10,6 | -0.541205 | -0.494730 | -0.989459 | 0.00374877 |
9 | 10,7 | -0.419976 | -0.540537 | -1.081073 | 0.00374877 |
9 | 10,8 | -0.189406 | -0.605222 | -1.210444 | 0.00374877 |
9 | 10,9 | 0.276287 | -0.706964 | -1.413927 | 0.00328018 |
10 | 2,A | -0.539648 | -0.097057 | -0.497210 | 0.00348896 |
10 | 3,A | -0.539358 | -0.132010 | -0.497628 | 0.00348896 |
10 | 3,2 | -0.543554 | -0.311044 | -1.087108 | 0.00345184 |
10 | 4,A | -0.539255 | -0.172109 | -0.505362 | 0.00348896 |
10 | 4,2 | -0.543433 | -0.341426 | -1.067579 | 0.00345184 |
10 | 4,3 | -0.543391 | -0.326571 | -0.952805 | 0.00345184 |
10 | 5,A | -0.538853 | -0.215154 | -0.525040 | 0.00348896 |
10 | 5,2 | -0.543298 | -0.320408 | -0.952695 | 0.00345184 |
10 | 5,3 | -0.542982 | -0.250003 | -0.742177 | 0.00345184 |
10 | 5,4 | -0.542851 | -0.145657 | -0.452508 | 0.00345184 |
10 | 6,A | -0.419050 | -0.192931 | -0.446523 | 0.00348896 |
10 | 6,2 | -0.545775 | -0.249926 | -0.746490 | 0.00345184 |
10 | 6,3 | -0.545466 | -0.147400 | -0.456584 | 0.00345184 |
10 | 6,4 | -0.545336 | 0.029897 | 0.000806 | 0.00345184 |
10 | 6,5 | -0.544946 | 0.116699 | 0.175697 | 0.00345184 |
10 | 7,A | -0.182147 | -0.141099 | -0.334322 | 0.00348896 |
10 | 7,2 | -0.534785 | -0.153337 | -0.451553 | 0.00345184 |
10 | 7,3 | -0.534480 | 0.027720 | 0.002467 | 0.00345184 |
10 | 7,4 | -0.534368 | 0.114704 | 0.175585 | 0.00345184 |
10 | 7,5 | -0.533780 | -0.382742 | -0.794092 | 0.00345184 |
10 | 7,6 | -0.536318 | -0.437441 | -0.887738 | 0.00345184 |
10 | 8,A | 0.063724 | -0.086651 | -0.229870 | 0.00348896 |
10 | 8,2 | -0.536744 | 0.028057 | -0.001603 | 0.00345184 |
10 | 8,3 | -0.536454 | 0.114553 | 0.171219 | 0.00345184 |
10 | 8,4 | -0.536144 | -0.383430 | -0.801325 | 0.00345184 |
10 | 8,5 | -0.535771 | -0.435487 | -0.887908 | 0.00345184 |
10 | 8,6 | -0.538309 | -0.465623 | -0.937536 | 0.00345184 |
10 | 8,7 | -0.527574 | -0.490065 | -0.980131 | 0.00345184 |
10 | 9,A | 0.554572 | 0.017284 | -0.029496 | 0.00348896 |
10 | 9,2 | -0.538586 | 0.112044 | 0.161948 | 0.00345184 |
10 | 9,3 | -0.538098 | -0.384825 | -0.808804 | 0.00345184 |
10 | 9,4 | -0.538003 | -0.412387 | -0.843825 | 0.00345184 |
10 | 9,5 | -0.537631 | -0.459797 | -0.924890 | 0.00345184 |
10 | 9,6 | -0.540169 | -0.507161 | -1.016371 | 0.00345184 |
10 | 9,7 | -0.529433 | -0.526286 | -1.052572 | 0.00345184 |
10 | 9,8 | -0.405483 | -0.571672 | -1.143344 | 0.00345184 |
10 | 10,A | 1.500000 | 0.112213 | 0.159892 | 0.01351971 |
10 | 10,2 | -0.540092 | -0.364436 | -0.769083 | 0.01337589 |
10 | 10,3 | -0.539818 | -0.409822 | -0.840385 | 0.01337589 |
10 | 10,4 | -0.539724 | -0.456381 | -0.919267 | 0.01337589 |
10 | 10,5 | -0.539351 | -0.502775 | -1.005550 | 0.01337589 |
10 | 10,6 | -0.541889 | -0.523992 | -1.047984 | 0.01337589 |
10 | 10,7 | -0.415965 | -0.571003 | -1.142007 | 0.01337589 |
10 | 10,8 | -0.166917 | -0.635636 | -1.271272 | 0.01337589 |
10 | 10,9 | 0.082381 | -0.720065 | -1.440130 | 0.01337589 |
Blackjack⼆⼗⼀點 附錄9 -- 2副牌, 莊家在軟17點補牌 -- 玩家可以分牌
莊家 | 玩家 | 停住不補 | 補牌 | 加倍賭注 | 分牌 加倍 - 否 |
分牌 加倍 - 是 |
機率 |
---|---|---|---|---|---|---|---|
A | A,A | -0.595164 | -0.067327 | -0.574721 | 0.157378 | 0.157378 | 0.00021009 |
A | 2,2 | -0.593113 | -0.293373 | -1.186226 | -0.521920 | -0.515629 | 0.00028011 |
A | 3,3 | -0.591323 | -0.351766 | -1.171354 | -0.563535 | -0.555498 | 0.00028011 |
A | 4,4 | -0.589214 | -0.264925 | -0.820424 | -0.636857 | -0.626815 | 0.00028011 |
A | 5,5 | -0.590103 | 0.037716 | -0.004346 | -0.766384 | -0.755707 | 0.00028011 |
A | 6,6 | -0.585447 | -0.393801 | -0.835230 | -0.720170 | -0.709339 | 0.00028011 |
A | 7,7 | -0.580226 | -0.495371 | -1.008716 | -0.716802 | -0.707039 | 0.00028011 |
A | 8,8 | -0.586903 | -0.531321 | -1.062642 | -0.500197 | -0.493576 | 0.00028011 |
A | 9,9 | -0.206613 | -0.637736 | -1.275473 | -0.221117 | -0.217618 | 0.00028011 |
A | 10,10 | 0.597669 | -0.868561 | -1.737122 | -0.488963 | -0.488963 | 0.00510585 |
2 | A,A | -0.278818 | 0.086622 | -0.043149 | 0.516612 | 0.516612 | 0.00041002 |
2 | 2,2 | -0.285287 | -0.111793 | -0.570575 | -0.143714 | -0.061513 | 0.00030752 |
2 | 3,3 | -0.285685 | -0.142296 | -0.550893 | -0.202243 | -0.120005 | 0.00041002 |
2 | 4,4 | -0.284922 | -0.018168 | -0.193777 | -0.253927 | -0.170617 | 0.00041002 |
2 | 5,5 | -0.268503 | 0.201293 | 0.399936 | -0.295065 | -0.244387 | 0.00041002 |
2 | 6,6 | -0.271468 | -0.253276 | -0.506553 | -0.242041 | -0.153417 | 0.00041002 |
2 | 7,7 | -0.274633 | -0.385000 | -0.769999 | -0.179531 | -0.091811 | 0.00041002 |
2 | 8,8 | -0.277763 | -0.465195 | -0.930391 | 0.014587 | 0.091351 | 0.00041002 |
2 | 9,9 | 0.117843 | -0.626010 | -1.252021 | 0.160733 | 0.199594 | 0.00041002 |
2 | 10,10 | 0.628556 | -0.851193 | -1.702385 | 0.082909 | 0.082909 | 0.00726325 |
3 | A,A | -0.237885 | 0.110271 | 0.025730 | 0.564088 | 0.564088 | 0.00041002 |
3 | 2,2 | -0.244572 | -0.079331 | -0.489143 | -0.085097 | 0.012583 | 0.00041002 |
3 | 3,3 | -0.243863 | -0.108982 | -0.468059 | -0.130236 | -0.034121 | 0.00030752 |
3 | 4,4 | -0.227510 | 0.016921 | -0.109341 | -0.158026 | -0.055950 | 0.00041002 |
3 | 5,5 | -0.224679 | 0.228532 | 0.457065 | -0.213975 | -0.151641 | 0.00041002 |
3 | 6,6 | -0.227464 | -0.228411 | -0.456822 | -0.160758 | -0.049705 | 0.00041002 |
3 | 7,7 | -0.230965 | -0.369242 | -0.738485 | -0.101445 | 0.005358 | 0.00041002 |
3 | 8,8 | -0.235203 | -0.458963 | -0.917927 | 0.081654 | 0.167276 | 0.00041002 |
3 | 9,9 | 0.127459 | -0.629565 | -1.259130 | 0.191269 | 0.236908 | 0.00041002 |
3 | 10,10 | 0.639140 | -0.850880 | -1.701759 | 0.169623 | 0.169623 | 0.00726325 |
4 | A,A | -0.190661 | 0.134467 | 0.099262 | 0.616184 | 0.616184 | 0.00041002 |
4 | 2,2 | -0.196595 | -0.039502 | -0.393190 | -0.018299 | 0.094093 | 0.00041002 |
4 | 3,3 | -0.180285 | -0.056736 | -0.342912 | -0.021859 | 0.096771 | 0.00041002 |
4 | 4,4 | -0.177078 | 0.065674 | -0.014834 | -0.062806 | 0.059604 | 0.00030752 |
4 | 5,5 | -0.174888 | 0.260577 | 0.521155 | -0.119102 | -0.040807 | 0.00041002 |
4 | 6,6 | -0.177710 | -0.202730 | -0.405459 | -0.068312 | 0.064861 | 0.00041002 |
4 | 7,7 | -0.182685 | -0.352793 | -0.705586 | -0.014349 | 0.119652 | 0.00041002 |
4 | 8,8 | -0.207078 | -0.460183 | -0.920366 | 0.126867 | 0.222150 | 0.00041002 |
4 | 9,9 | 0.160990 | -0.608440 | -1.216879 | 0.262770 | 0.313418 | 0.00041002 |
4 | 10,10 | 0.648790 | -0.850713 | -1.701427 | 0.263966 | 0.263966 | 0.00726325 |
5 | A,A | -0.146973 | 0.169339 | 0.171311 | 0.672616 | 0.672616 | 0.00041002 |
5 | 2,2 | -0.136105 | 0.011809 | -0.272209 | 0.087308 | 0.225069 | 0.00041002 |
5 | 3,3 | -0.133446 | -0.012701 | -0.248466 | 0.069204 | 0.213821 | 0.00041002 |
5 | 4,4 | -0.130739 | 0.109724 | 0.078108 | 0.026539 | 0.175650 | 0.00041002 |
5 | 5,5 | -0.128554 | 0.299131 | 0.598262 | -0.020232 | 0.079678 | 0.00030752 |
5 | 6,6 | -0.133466 | -0.178674 | -0.357349 | 0.019290 | 0.179514 | 0.00041002 |
5 | 7,7 | -0.158311 | -0.345685 | -0.691370 | 0.035307 | 0.186891 | 0.00041002 |
5 | 8,8 | -0.163273 | -0.451767 | -0.903535 | 0.206143 | 0.312904 | 0.00041002 |
5 | 9,9 | 0.196771 | -0.603663 | -1.207326 | 0.341075 | 0.397409 | 0.00041002 |
5 | 10,10 | 0.670048 | -0.850206 | -1.700412 | 0.368984 | 0.368984 | 0.00726325 |
6 | A,A | -0.103203 | 0.194397 | 0.227011 | 0.709899 | 0.709899 | 0.00041002 |
6 | 2,2 | -0.104437 | 0.038384 | -0.208874 | 0.142946 | 0.296358 | 0.00041002 |
6 | 3,3 | -0.101836 | 0.020343 | -0.186344 | 0.124775 | 0.283422 | 0.00041002 |
6 | 4,4 | -0.099499 | 0.133111 | 0.128449 | 0.084099 | 0.244279 | 0.00041002 |
6 | 5,5 | -0.099300 | 0.317115 | 0.634229 | 0.029924 | 0.138863 | 0.00041002 |
6 | 6,6 | -0.124391 | -0.181364 | -0.362729 | 0.034584 | 0.198094 | 0.00030752 |
6 | 7,7 | -0.129361 | -0.339575 | -0.679151 | 0.083771 | 0.248792 | 0.00041002 |
6 | 8,8 | -0.132803 | -0.426598 | -0.853196 | 0.249727 | 0.365032 | 0.00041002 |
6 | 9,9 | 0.213138 | -0.603261 | -1.206521 | 0.376538 | 0.435645 | 0.00041002 |
6 | 10,10 | 0.673275 | -0.850096 | -1.700192 | 0.427790 | 0.427790 | 0.00726325 |
7 | A,A | -0.464261 | 0.162012 | -0.161064 | 0.501347 | 0.501347 | 0.00041002 |
7 | 2,2 | -0.473143 | -0.089960 | -0.946285 | -0.048945 | 0.011632 | 0.00041002 |
7 | 3,3 | -0.471189 | -0.157776 | -0.882620 | -0.108326 | -0.047684 | 0.00041002 |
7 | 4,4 | -0.469075 | 0.095816 | -0.149153 | -0.237868 | -0.173850 | 0.00041002 |
7 | 5,5 | -0.478645 | 0.267524 | 0.429428 | -0.340483 | -0.304178 | 0.00041002 |
7 | 6,6 | -0.483194 | -0.237102 | -0.549126 | -0.294433 | -0.229024 | 0.00041002 |
7 | 7,7 | -0.487416 | -0.353743 | -0.741839 | -0.105226 | -0.047451 | 0.00030752 |
7 | 8,8 | -0.489491 | -0.395130 | -0.790259 | 0.259789 | 0.313354 | 0.00041002 |
7 | 9,9 | 0.399873 | -0.578992 | -1.157985 | 0.334847 | 0.362036 | 0.00041002 |
7 | 10,10 | 0.769342 | -0.847556 | -1.695112 | 0.244147 | 0.244147 | 0.00726325 |
8 | A,A | -0.505189 | 0.093723 | -0.305396 | 0.378075 | 0.378075 | 0.00041002 |
8 | 2,2 | -0.512714 | -0.151141 | -1.025428 | -0.216148 | -0.177153 | 0.00041002 |
8 | 3,3 | -0.510601 | -0.223474 | -1.000756 | -0.268417 | -0.227467 | 0.00041002 |
8 | 4,4 | -0.519505 | -0.057427 | -0.449287 | -0.367352 | -0.324611 | 0.00041002 |
8 | 5,5 | -0.519589 | 0.202720 | 0.305454 | -0.494031 | -0.468766 | 0.00041002 |
8 | 6,6 | -0.522988 | -0.295476 | -0.661531 | -0.441426 | -0.397853 | 0.00041002 |
8 | 7,7 | -0.525781 | -0.389533 | -0.810925 | -0.426937 | -0.387476 | 0.00041002 |
8 | 8,8 | -0.531286 | -0.442962 | -0.885925 | -0.074244 | -0.041918 | 0.00030752 |
8 | 9,9 | 0.085625 | -0.579074 | -1.158148 | 0.201198 | 0.220677 | 0.00041002 |
8 | 10,10 | 0.787591 | -0.847237 | -1.694474 | -0.012699 | -0.012699 | 0.00726325 |
9 | A,A | -0.527616 | -0.001194 | -0.439365 | 0.258121 | 0.258121 | 0.00041002 |
9 | 2,2 | -0.533796 | -0.231968 | -1.067592 | -0.400986 | -0.378564 | 0.00041002 |
9 | 3,3 | -0.542765 | -0.300754 | -1.066499 | -0.441161 | -0.420110 | 0.00041002 |
9 | 4,4 | -0.542509 | -0.208672 | -0.709968 | -0.524166 | -0.501778 | 0.00041002 |
9 | 5,5 | -0.541764 | 0.117382 | 0.159119 | -0.661366 | -0.645439 | 0.00041002 |
9 | 6,6 | -0.545572 | -0.362092 | -0.775819 | -0.606791 | -0.583829 | 0.00041002 |
9 | 7,7 | -0.549913 | -0.452235 | -0.926791 | -0.582678 | -0.563857 | 0.00041002 |
9 | 8,8 | -0.530143 | -0.498373 | -0.996747 | -0.416084 | -0.394672 | 0.00041002 |
9 | 9,9 | -0.189527 | -0.605915 | -1.211831 | -0.099562 | -0.088558 | 0.00030752 |
9 | 10,10 | 0.751376 | -0.846569 | -1.693139 | -0.299869 | -0.299869 | 0.00726325 |
10 | A,A | -0.535536 | -0.058695 | -0.491614 | 0.186732 | 0.186732 | 0.00154266 |
10 | 2,2 | -0.543856 | -0.282600 | -1.087711 | -0.496786 | -0.486989 | 0.00151018 |
10 | 3,3 | -0.543248 | -0.340616 | -1.067197 | -0.541403 | -0.530374 | 0.00151018 |
10 | 4,4 | -0.543260 | -0.245136 | -0.742386 | -0.618008 | -0.606232 | 0.00151018 |
10 | 5,5 | -0.542443 | 0.031176 | 0.004965 | -0.739234 | -0.727487 | 0.00151018 |
10 | 6,6 | -0.547053 | -0.383777 | -0.800867 | -0.700672 | -0.689245 | 0.00151018 |
10 | 7,7 | -0.525583 | -0.489910 | -0.985179 | -0.652361 | -0.639840 | 0.00151018 |
10 | 8,8 | -0.529565 | -0.526181 | -1.052362 | -0.474649 | -0.463745 | 0.00151018 |
10 | 9,9 | -0.156304 | -0.636400 | -1.272801 | -0.302837 | -0.294618 | 0.00151018 |
10 | 10,10 | 0.568553 | -0.843225 | -1.686450 | -0.415431 | -0.415431 | 0.02507978 |
附錄9 -- 2副牌 -- 莊家拿到Blackjack
玩家 | 停住 | 機率 |
---|---|---|
BJ | 0 | 0.00201357 |
沒有BJ | -1 | 0.04578329 |
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