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⼋位玩家德州撲克當中的牌⾯⾼低排序

簡介

以下列表是⼋位玩家賭局當中最⾼牌⾯的⼤⼩排序。這份列表假設所有玩 家們都留在賭局直到最後。

欄位標題的解釋:
  • 牌⾯: 最初兩張牌的牌⾯。
  • 贏的機率: 這⼀⼿牌⾯會贏、或者贏局平⼿的機率。
  • 平均贏值: 這是玩家會贏的平均單位數值, 包括他⾃⼰的押注在內、如果 玩家贏的話。這個數值⼩於8、那是因為有時候玩家必須與別的贏家分享 池底。
  • 期望值: 這是在這⼀⼿牌⾯玩家預期會贏(正值)或輸(負值)的單位數值。 例如, 如果玩家有⼀對Aces、並且投注$1到池底, 則玩家預期會有$2.09的 淨贏值。
  • 機率: 拿到這⼀⼿起始牌⾯的機率。
  • 附加機率: 拿到這⼀⼿起始牌⾯或者進⼀步拿到更強牌⾯的機率。

 

針對⼋位玩家賭局最初撲克牌⾯的⼤⼩排⾏

牌⾯ 贏的機率 平均贏值 期望值 機率 附加機率
對⼦A 39.05% 7.94 2.099 0.45% 0.45%
對⼦K 33.26% 7.92 1.6328 0.45% 0.9%
對⼦Q 28.71% 7.88 1.2628 0.45% 1.36%
A/K同花 26% 7.67 0.9953 0.3% 1.66%
對⼦J 25.13% 7.84 0.9705 0.45% 2.11%
A/Q同花 24.51% 7.6 0.8628 0.3% 2.41%
K/Q同花 23.72% 7.61 0.8043 0.3% 2.71%
A/J同花 23.41% 7.53 0.7616 0.3% 3.02%
對⼦10點 22.32% 7.79 0.7395 0.45% 3.47%
A/K⾮同花 22.68% 7.61 0.7264 0.9% 4.37%
K/J同花 22.66% 7.53 0.7073 0.3% 4.68%
A/10點同花 22.55% 7.45 0.6803 0.3% 4.98%
Q/J同花 22.1% 7.52 0.6622 0.3% 5.28%
K/10點同花 21.87% 7.47 0.633 0.3% 5.58%
Q/10點同花 21.38% 7.45 0.5936 0.3% 5.88%
J/10點同花 21.26% 7.44 0.5813 0.3% 6.18%
A/Q⾮同花 20.98% 7.51 0.5765 0.9% 7.09%
對⼦9點 19.89% 7.81 0.5527 0.45% 7.54%
K/Q⾮同花 20.31% 7.52 0.5281 0.9% 8.45%
A/9點同花 20.28% 7.39 0.4981 0.3% 8.75%
A/J⾮同花 19.7% 7.41 0.4607 0.9% 9.65%
K/9點同花 19.5% 7.42 0.4466 0.3% 9.95%
A/8點同花 19.66% 7.32 0.4386 0.3% 10.26%
K/J⾮同花 19.1% 7.43 0.4183 0.9% 11.16%
對⼦8點 18.19% 7.79 0.4164 0.45% 11.61%
10/9點同花 19.18% 7.38 0.4162 0.3% 11.92%
Q/9點同花 19.03% 7.41 0.4107 0.3% 12.22%
J/9點同花 18.96% 7.4 0.4032 0.3% 12.52%
A/5點同花 19.29% 7.21 0.3914 0.3% 12.82%
A/7點同花 19.12% 7.26 0.3883 0.3% 13.12%
Q/J⾮同花 18.67% 7.41 0.3832 0.9% 14.03%
A/10點⾮同花 18.74% 7.31 0.3705 0.9% 14.93%
A/4點同花 18.86% 7.23 0.3638 0.3% 15.23%
A/6點同花 18.62% 7.22 0.3448 0.3% 15.54%
A/3點同花 18.41% 7.26 0.336 0.3% 15.84%
K/10點⾮同花 18.18% 7.33 0.3328 0.9% 16.74%
K/8點同花 18.05% 7.33 0.3234 0.3% 17.04%
對⼦7點 16.85% 7.77 0.309 0.45% 17.5%
Q/10點⾮同花 17.83% 7.32 0.3044 0.9% 18.4%
J/10點⾮同花 17.86% 7.3 0.3041 0.9% 19.31%
A/2點同花 17.86% 7.28 0.2997 0.3% 19.61%
10/8點同花 17.68% 7.32 0.2949 0.3% 19.91%
Q/8點同花 17.51% 7.34 0.285 0.3% 20.21%
J/8點同花 17.44% 7.33 0.2792 0.3% 20.51%
K/7點同花 17.57% 7.27 0.2777 0.3% 20.81%
9/8點同花 17.31% 7.38 0.2768 0.3% 21.12%
K/6點同花 17.17% 7.23 0.2413 0.3% 21.42%
對⼦6點 15.84% 7.75 0.2282 0.45% 21.87%
K/5點同花 16.83% 7.2 0.2117 0.3% 22.17%
8/7點同花 16.38% 7.35 0.2033 0.3% 22.47%
K/4點同花 16.44% 7.22 0.1869 0.3% 22.78%
9/7點同花 16.2% 7.33 0.1868 0.3% 23.08%
10/7點同花 16.3% 7.26 0.1827 0.3% 23.38%
Q/7點同花 16.22% 7.25 0.1756 0.3% 23.68%
A/9點⾮同花 16.27% 7.2 0.1711 0.9% 24.59%
J/7點同花 16.07% 7.26 0.1662 0.3% 24.89%
K/3點同花 16.06% 7.26 0.1653 0.3% 25.19%
對⼦5點 14.93% 7.73 0.1542 0.45% 25.64%
7/6點同花 15.66% 7.33 0.1481 0.3% 25.94%
K/2點同花 15.7% 7.29 0.1446 0.3% 26.24%
Q/6點同花 15.85% 7.2 0.1417 0.3% 26.55%
10/9點⾮同花 15.71% 7.21 0.1332 0.9% 27.45%
K/9點⾮同花 15.62% 7.24 0.1308 0.9% 28.36%
8/6點同花 15.37% 7.3 0.1223 0.3% 28.66%
Q/5點同花 15.56% 7.17 0.1158 0.3% 28.96%
對⼦4點 14.31% 7.76 0.1103 0.45% 29.41%
J/9點⾮同花 15.34% 7.22 0.1081 0.9% 30.32%
6/5點同花 15.12% 7.32 0.1067 0.3% 30.62%
Q/9點⾮同花 15.27% 7.23 0.1044 0.9% 31.52%
A/8點⾮同花 15.55% 7.1 0.1037 0.9% 32.43%
Q/4點同花 15.16% 7.2 0.0916 0.3% 32.73%
9/6點同花 14.99% 7.26 0.0891 0.3% 33.03%
5/4點同花 14.74% 7.32 0.0789 0.3% 33.33%
10/6點同花 15.03% 7.18 0.0785 0.3% 33.63%
對⼦3點 13.83% 7.8 0.0782 0.45% 34.09%
7/5點同花 14.74% 7.29 0.0741 0.3% 34.39%
Q/3點同花 14.81% 7.24 0.0721 0.3% 34.69%
J/6點同花 14.92% 7.17 0.0691 0.3% 34.99%
對⼦2點 13.49% 7.83 0.057 0.45% 35.44%
Q/2點同花 14.46% 7.28 0.0524 0.3% 35.75%
A/5點⾮同花 15.1% 6.95 0.0489 0.9% 36.65%
A/7點⾮同花 14.94% 7.01 0.0473 0.9% 37.56%
J/5點同花 14.66% 7.13 0.0454 0.3% 37.86%
6/4點同花 14.07% 7.33 0.0306 0.3% 38.16%
8/5點同花 14.22% 7.24 0.0303 0.3% 38.46%
J/4點同花 14.28% 7.16 0.0222 0.3% 38.76%
A/4點⾮同花 14.63% 6.96 0.0184 0.9% 39.67%
5/3點同花 13.71% 7.33 0.0049 0.3% 39.97%
J/3點同花 13.92% 7.2 0.0023 0.3% 40.27%
A/6點⾮同花 14.39% 6.95 0 0.9% 41.18%
10/8點⾮同花 14.07% 7.11 -0.0002 0.9% 42.08%
K/8點⾮同花 14.01% 7.09 -0.0059 0.9% 42.99%
9/5點同花 13.81% 7.19 -0.0066 0.3% 43.29%
10/5點同花 13.98% 7.09 -0.0092 0.3% 43.59%
A/3點⾮同花 14.15% 6.99 -0.0111 0.9% 44.49%
9/8點⾮同花 13.73% 7.18 -0.0137 0.9% 45.4%
J/2點同花 13.59% 7.24 -0.0154 0.3% 45.7%
7/4點同花 13.48% 7.28 -0.0187 0.3% 46%
J/8點⾮同花 13.68% 7.11 -0.0278 0.9% 46.91%
10/4點同花 13.64% 7.11 -0.0304 0.3% 47.21%
Q/8點⾮同花 13.6% 7.11 -0.0331 0.9% 48.11%
4/3點同花 13.09% 7.37 -0.0351 0.3% 48.42%
10/3點同花 13.3% 7.15 -0.049 0.3% 48.72%
A/2點⾮同花 13.54% 7.01 -0.0507 0.9% 49.62%
K/7點⾮同花 13.48% 7 -0.0557 0.9% 50.53%
6/3點同花 12.85% 7.33 -0.0587 0.3% 50.83%
8/4點同花 12.98% 7.22 -0.0626 0.3% 51.13%
10/2點同花 12.95% 7.19 -0.0682 0.3% 51.43%
5/2點同花 12.5% 7.33 -0.0839 0.3% 51.73%
8/7點⾮同花 12.79% 7.13 -0.0877 0.9% 52.64%
9/4點同花 12.71% 7.16 -0.0908 0.3% 52.94%
K/6點⾮同花 13.02% 6.94 -0.0972 0.9% 53.85%
4/2點同花 12.08% 7.38 -0.1079 0.3% 54.15%
7/3點同花 12.25% 7.27 -0.1101 0.3% 54.45%
9/3點同花 12.37% 7.19 -0.1108 0.3% 54.75%
9/7點⾮同花 12.54% 7.09 -0.1114 0.9% 55.66%
10/7點⾮同花 12.55% 6.98 -0.1238 0.9% 56.56%
9/2點同花 12.03% 7.24 -0.1287 0.3% 56.86%
K/5點⾮同花 12.65% 6.88 -0.1298 0.9% 57.77%
7/6點⾮同花 12.08% 7.09 -0.1433 0.9% 58.67%
8/3點同花 11.88% 7.19 -0.1452 0.3% 58.97%
3/2點同花 11.49% 7.43 -0.1454 0.3% 59.28%
6/2點同花 11.62% 7.32 -0.1492 0.3% 59.58%
Q/7點⾮同花 12.22% 6.95 -0.1511 0.9% 60.48%
J/7點⾮同花 12.18% 6.97 -0.1514 0.9% 61.39%
K/4點⾮同花 12.21% 6.9 -0.1579 0.9% 62.29%
8/2點同花 11.57% 7.23 -0.163 0.3% 62.59%
8/6點⾮同花 11.7% 7.04 -0.1767 0.9% 63.5%
K/3點⾮同花 11.79% 6.94 -0.1818 0.9% 64.4%
6/5點⾮同花 11.51% 7.07 -0.1865 0.9% 65.31%
Q/6點⾮同花 11.81% 6.87 -0.189 0.9% 66.21%
7/2點同花 11.19% 7.24 -0.1897 0.3% 66.52%
K/2點⾮同花 11.41% 6.98 -0.2035 0.9% 67.42%
5/4點⾮同花 11.12% 7.06 -0.2149 0.9% 68.33%
9/6點⾮同花 11.22% 6.97 -0.2182 0.9% 69.23%
Q/5點⾮同花 11.46% 6.82 -0.2191 0.9% 70.14%
7/5點⾮同花 11.07% 7 -0.2249 0.9% 71.04%
10/6點⾮同花 11.18% 6.83 -0.2361 0.9% 71.95%
Q/4點⾮同花 11.03% 6.84 -0.2454 0.9% 72.85%
J/6點⾮同花 10.94% 6.8 -0.2562 0.9% 73.76%
6/4點⾮同花 10.39% 7.05 -0.2677 0.9% 74.66%
Q/3點⾮同花 10.63% 6.88 -0.2679 0.9% 75.57%
8/5點⾮同花 10.47% 6.92 -0.2757 0.9% 76.47%
J/5點⾮同花 10.64% 6.73 -0.2837 0.9% 77.38%
Q/2點⾮同花 10.26% 6.93 -0.289 0.9% 78.28%
5/3點⾮同花 10.04% 7.04 -0.2936 0.9% 79.19%
J/4點⾮同花 10.22% 6.76 -0.3091 0.9% 80.09%
9/5點⾮同花 9.97% 6.82 -0.3206 0.9% 81%
7/4點⾮同花 9.73% 6.95 -0.3238 0.9% 81.9%
10/5點⾮同花 10.06% 6.65 -0.3308 0.9% 82.81%
J/3點⾮同花 9.83% 6.81 -0.3312 0.9% 83.71%
4/3點⾮同花 9.38% 7.08 -0.336 0.9% 84.62%
J/2點⾮同花 9.46% 6.86 -0.3512 0.9% 85.52%
10/4點⾮同花 9.66% 6.67 -0.3554 0.9% 86.43%
6/3點⾮同花 9.08% 7 -0.3642 0.9% 87.33%
8/4點⾮同花 9.12% 6.84 -0.3766 0.9% 88.24%
10/3點⾮同花 9.28% 6.72 -0.3767 0.9% 89.14%
5/2點⾮同花 8.73% 7 -0.3892 0.9% 90.05%
10/2點⾮同花 8.93% 6.76 -0.3962 0.9% 90.95%
9/4點⾮同花 8.76% 6.71 -0.4126 0.9% 91.86%
4/2點⾮同花 8.3% 7.06 -0.4138 0.9% 92.76%
7/3點⾮同花 8.41% 6.88 -0.4219 0.9% 93.67%
9/3點⾮同花 8.4% 6.74 -0.4338 0.9% 94.57%
9/2點⾮同花 8.04% 6.8 -0.4531 0.9% 95.48%
3/2點⾮同花 7.67% 7.12 -0.4543 0.9% 96.38%
6/2點⾮同花 7.79% 6.94 -0.46 0.9% 97.29%
8/3點⾮同花 7.96% 6.73 -0.4646 0.9% 98.19%
8/2點⾮同花 7.61% 6.77 -0.4844 0.9% 99.1%
7/2點⾮同花 7.28% 6.77 -0.5073 0.9% 100%
總計   7.2 0 100%  

 

⽅法

這份列表是經過25,729,704,000次隨機模擬的賭局所產⽣的結果、假設所 有的玩家們都持續玩到賭局最後。

以下的圖表顯⽰我針對⼋位玩家的賭局、每⼀⼿最初兩張牌⾯的排序對照 表。其數值是以0到40為評⽐尺度。基本上, 你應該只玩深綠⾊、藍⾊、紫 ⾊的牌⾯。當然你在後⾯位置應該採取更加寬鬆的玩法、在前⾯位置則應 該採⽤更為嚴苛的玩法。

如果你有⼀個對⼦、則使⽤最上⽅的圖表, 如果你有兩張同花牌⾯、則使 ⽤中間的圖表, 最底下的圖表是如果你的兩張牌各為不同的花⾊情況。除 了對⼦牌⾯例外, 沿著左側查看你的⾼牌、沿著頂端查看你的低牌。

 

 

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撰寫者: Michael Shackleford