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德州撲克 — ⼗位玩家賭局的最⾼牌⾯

簡介

以下列表是⼗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10、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$2.11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。

 

針對⼗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 31.36% 9.91 2.1071 0.45% 0.45%
對⼦K 26.43% 9.87 1.6079 0.45% 0.9%
對⼦Q 22.66% 9.81 1.2224 0.45% 1.36%
A/K同花 21.73% 9.52 1.0688 0.3% 1.66%
對⼦J 19.84% 9.74 0.9318 0.45% 2.11%
A/Q同花 20.44% 9.41 0.9239 0.3% 2.41%
K/Q同花 19.8% 9.41 0.8639 0.3% 2.71%
A/J同花 19.51% 9.31 0.8159 0.3% 3.02%
K/J同花 18.94% 9.31 0.7636 0.3% 3.32%
A/10同花 18.87% 9.2 0.7353 0.3% 3.62%
Q/J同花 18.55% 9.28 0.7217 0.3% 3.92%
A/K⾮同花 18.29% 9.41 0.7209 0.9% 4.83%
對⼦10點 17.76% 9.65 0.7145 0.45% 5.28%
K/10點同花 18.34% 9.21 0.689 0.3% 5.58%
Q/10點同花 18.04% 9.19 0.6577 0.3% 5.88%
J/10點同花 18.07% 9.16 0.6552 0.3% 6.18%
對⼦9點 16.05% 9.69 0.5559 0.45% 6.64%
A/Q⾮同花 16.78% 9.26 0.5539 0.9% 7.54%
A/9點同花 16.87% 9.12 0.5377 0.3% 7.84%
K/Q⾮同花 16.3% 9.26 0.5098 0.9% 8.75%
K/9點同花 16.22% 9.16 0.4854 0.3% 9.05%
10/9點同花 16.33% 9.09 0.485 0.3% 9.35%
A/8點同花 16.34% 9.03 0.4756 0.3% 9.65%
J/9點同花 15.96% 9.12 0.4561 0.3% 9.95%
Q/9點同花 15.89% 9.14 0.4527 0.3% 10.26%
對⼦8點 14.96% 9.67 0.4471 0.45% 10.71%
A/5點同花 16.23% 8.9 0.4447 0.3% 11.01%
A/J⾮同花 15.7% 9.1 0.4291 0.9% 11.92%
A/7點同花 15.93% 8.96 0.4272 0.3% 12.22%
A/4點同花 15.88% 8.94 0.4205 0.3% 12.52%
A/3點同花 15.51% 9 0.3957 0.3% 12.82%
K/J⾮同花 15.3% 9.11 0.3944 0.9% 13.73%
A/6點同花 15.62% 8.91 0.3916 0.3% 14.03%
Q/J⾮同花 15.07% 9.08 0.3687 0.9% 14.93%
對⼦7點 14.14% 9.65 0.3647 0.45% 15.38%
A/2點同花 15.02% 9.04 0.3579 0.3% 15.69%
K/8點同花 15.03% 9.03 0.3568 0.3% 15.99%
10/8點同花 15.05% 9 0.3556 0.3% 16.29%
9/8點同花 14.69% 9.11 0.3388 0.3% 16.59%
A/10點⾮同花 14.93% 8.94 0.3353 0.9% 17.5%
J/8點同花 14.66% 9.03 0.3231 0.3% 17.8%
Q/8點同花 14.61% 9.04 0.3204 0.3% 18.1%
K/7點同花 14.64% 8.96 0.312 0.3% 18.4%
K/10點⾮同花 14.6% 8.96 0.3086 0.9% 19.31%
J/10點⾮同花 14.64% 8.92 0.3066 0.9% 20.21%
對⼦6點 13.51% 9.64 0.3017 0.45% 20.66%
Q/10點⾮同花 14.45% 8.94 0.2918 0.9% 21.57%
K/6點同花 14.35% 8.91 0.2787 0.3% 21.87%
8/7點同花 14.03% 9.08 0.2736 0.3% 22.17%
K/5點同花 14.09% 8.87 0.2494 0.3% 22.47%
9/7點同花 13.81% 9.04 0.2488 0.3% 22.78%
對⼦5點 12.88% 9.61 0.2379 0.45% 23.23%
10/7點同花 13.82% 8.91 0.2315 0.3% 23.53%
K/4點同花 13.78% 8.92 0.2294 0.3% 23.83%
7/6點同花 13.54% 9.06 0.2262 0.3% 24.13%
對⼦4點 12.56% 9.68 0.2155 0.45% 24.59%
K/3點同花 13.49% 8.99 0.212 0.3% 24.89%
Q/7點同花 13.57% 8.91 0.2091 0.3% 25.19%
J/7點同花 13.49% 8.92 0.2026 0.3% 25.49%
對⼦3點 12.31% 9.75 0.2002 0.45% 25.94%
K/2點同花 13.21% 9.05 0.1955 0.3% 26.24%
對⼦2點 12.15% 9.82 0.1933 0.45% 26.7%
8/6點同花 13.2% 9.01 0.1901 0.3% 27%
6/5點同花 13.14% 9.04 0.1887 0.3% 27.3%
Q/6點同花 13.28% 8.85 0.1754 0.3% 27.6%
5/4點同花 12.88% 9.04 0.165 0.3% 27.9%
Q/5點同花 13.05% 8.82 0.1509 0.3% 28.21%
7/5點同花 12.73% 8.99 0.1449 0.3% 28.51%
9/6 suited 12.74% 8.95 0.1409 0.3% 28.81%
10/9點⾮同花 12.87% 8.8 0.1327 0.9% 29.71%
Q/4點同花 12.73% 8.88 0.1301 0.3% 30.02%
10/6點同花 12.72% 8.79 0.1189 0.3% 30.32%
A/9點⾮同花 12.74% 8.77 0.118 0.9% 31.22%
Q/3點同花 12.44% 8.95 0.1131 0.3% 31.52%
6/4點同花 12.22% 9.06 0.1077 0.3% 31.83%
J/6點同花 12.56% 8.78 0.1026 0.3% 32.13%
Q/2點同花 12.17% 9.02 0.0978 0.3% 32.43%
J/9點⾮同花 12.36% 8.81 0.0891 0.9% 33.33%
8/5點同花 12.16% 8.93 0.0856 0.3% 33.63%
5/3點同花 11.97% 9.06 0.0849 0.3% 33.94%
K/9點⾮同花 12.27% 8.83 0.0836 0.9% 34.84%
J/5點同花 12.32% 8.74 0.0763 0.3% 35.14%
Q/9點⾮同花 12.11% 8.82 0.0679 0.9% 36.05%
J/4點同花 12.01% 8.8 0.057 0.3% 36.35%
A/8點⾮同花 12.16% 8.63 0.0494 0.9% 37.25%
7/4點同花 11.59% 8.99 0.0421 0.3% 37.56%
J/3點同花 11.74% 8.88 0.042 0.3% 37.86%
4/3點同花 11.36% 9.13 0.0369 0.3% 38.16%
9/5點同花 11.7% 8.85 0.0351 0.3% 38.46%
J/2點同花 11.47% 8.95 0.0266 0.3% 38.76%
10/5點同花 11.84% 8.65 0.0243 0.3% 39.06%
A/5點⾮同花 12% 8.45 0.0133 0.9% 39.97%
6/3點同花 11.09% 9.07 0.0056 0.3% 40.27%
10/4點同花 11.53% 8.71 0.0042 0.3% 40.57%
A/7點⾮同花 11.71% 8.51 -0.0033 0.9% 41.48%
10/8點⾮同花 11.48% 8.63 -0.0087 0.9% 42.38%
10/3點同花 11.24% 8.78 -0.0125 0.3% 42.68%
A/4點⾮同花 11.63% 8.49 -0.0126 0.9% 43.59%
9/8點⾮同花 11.2% 8.79 -0.0158 0.9% 44.49%
8/4點同花 11.04% 8.9 -0.0168 0.3% 44.8%
5/2點同花 10.83% 9.07 -0.0176 0.3% 45.1%
10/2點同花 10.98% 8.86 -0.0274 0.3% 45.4%
A/3點⾮同花 11.22% 8.55 -0.0402 0.9% 46.3%
4/2點同花 10.47% 9.16 -0.041 0.3% 46.61%
A/6點⾮同花 11.35% 8.43 -0.044 0.9% 47.51%
9/4點同花 10.73% 8.8 -0.0567 0.3% 47.81%
J/8點⾮同花 10.94% 8.63 -0.0567 0.9% 48.72%
K/8點⾮同花 10.97% 8.6 -0.0569 0.9% 49.62%
7/3點同花 10.46% 8.98 -0.0603 0.3% 49.92%
9/3點同花 10.42% 8.87 -0.0756 0.3% 50.23%
8/7點⾮同花 10.57% 8.72 -0.0777 0.9% 51.13%
Q/8點⾮同花 10.7% 8.62 -0.0779 0.9% 52.04%
A/2點⾮同花 10.7% 8.6 -0.0797 0.9% 52.94%
3/2 suited 9.9% 9.24 -0.0848 0.3% 53.24%
9/2點同花 10.15% 8.95 -0.0911 0.3% 53.54%
6/2點同花 9.96% 9.06 -0.0976 0.3% 53.85%
K/7點⾮同花 10.54% 8.48 -0.1062 0.9% 54.75%
8/3點同花 10.07% 8.86 -0.1076 0.3% 55.05%
9/7點⾮同花 10.24% 8.65 -0.1147 0.9% 55.96%
7/6點⾮同花 10.1% 8.68 -0.1234 0.9% 56.86%
8/2點同花 9.78% 8.94 -0.1254 0.3% 57.16%
10/7點⾮同花 10.17% 8.43 -0.1424 0.9% 58.07%
K/6點⾮同花 10.19% 8.38 -0.1456 0.9% 58.97%
7/2點同花 9.53% 8.93 -0.1484 0.3% 59.28%
6/5點⾮同花 9.73% 8.65 -0.1577 0.9% 60.18%
8/6點⾮同花 9.67% 8.59 -0.1693 0.9% 61.09%
K/5點⾮同花 9.93% 8.31 -0.1749 0.9% 61.99%
5/4點⾮同花 9.49% 8.64 -0.1795 0.9% 62.9%
J/7點⾮同花 9.66% 8.4 -0.1879 0.9% 63.8%
K/4點⾮同花 9.58% 8.37 -0.1984 0.9% 64.71%
Q/7點⾮同花 9.57% 8.36 -0.1997 0.9% 65.61%
7/5點⾮同花 9.26% 8.55 -0.2086 0.9% 66.52%
K/3點⾮同花 9.26% 8.45 -0.217 0.9% 67.42%
9/6點⾮同花 9.09% 8.46 -0.2308 0.9% 68.33%
K/2點⾮同花 8.97% 8.54 -0.2343 0.9% 69.23%
Q/6點⾮同花 9.25% 8.26 -0.236 0.9% 70.14%
6/4點⾮同花 8.75% 8.63 -0.2446 0.9% 71.04%
Q/5點⾮同花 9% 8.19 -0.2631 0.9% 71.95%
10/6點⾮同花 8.98% 8.19 -0.2645 0.9% 72.85%
5/3點⾮同花 8.52% 8.62 -0.2651 0.9% 73.76%
8/5點⾮同花 8.6% 8.4 -0.2784 0.9% 74.66%
Q/4點⾮同花 8.67% 8.26 -0.2844 0.9% 75.57%
J/6點⾮同花 8.65% 8.13 -0.2973 0.9% 76.47%
Q/3點⾮同花 8.35% 8.35 -0.3028 0.9% 77.38%
4/3點⾮同花 7.9% 8.69 -0.3133 0.9% 78.28%
7/4點⾮同花 8.05% 8.47 -0.3177 0.9% 79.19%
Q/2點⾮同花 8.06% 8.45 -0.3191 0.9% 80.09%
J/5點⾮同花 8.41% 8.04 -0.3241 0.9% 81%
9/5點⾮同花 7.99% 8.21 -0.3435 0.9% 81.9%
J/4點⾮同花 8.07% 8.11 -0.3453 0.9% 82.81%
6/3點⾮同花 7.56% 8.57 -0.352 0.9% 83.71%
J/3點⾮同花 7.75% 8.2 -0.3638 0.9% 84.62%
10/5點⾮同花 8.06% 7.89 -0.3641 0.9% 85.52%
5/2點⾮同花 7.34% 8.56 -0.3714 0.9% 86.43%
J/2點⾮同花 7.48% 8.31 -0.3791 0.9% 87.33%
10/4點⾮同花 7.71% 7.95 -0.3877 0.9% 88.24%
8/4點⾮同花 7.38% 8.27 -0.3898 0.9% 89.14%
4/2點⾮同花 6.96% 8.68 -0.3963 0.9% 90.05%
10/3點⾮同花 7.4% 8.04 -0.4054 0.9% 90.95%
10/2點⾮同花 7.11% 8.14 -0.4211 0.9% 91.86%
7/3點⾮同花 6.85% 8.36 -0.4273 0.9% 92.76%
9/4點⾮同花 6.96% 8.03 -0.4408 0.9% 93.67%
3/2點⾮同花 6.35% 8.77 -0.4427 0.9% 94.57%
6/2點⾮同花 6.38% 8.46 -0.4601 0.9% 95.48%
9/3點⾮同花 6.63% 8.12 -0.4615 0.9% 96.38%
9/2點⾮同花 6.35% 8.23 -0.4772 0.9% 97.29%
8/3點⾮同花 6.36% 8.09 -0.4852 0.9% 98.19%
8/2點⾮同花 6.06% 8.19 -0.5039 0.9% 99.1%
7/2點⾮同花 5.86% 8.17 -0.5211 0.9% 100%
總計 11.33% 8.82 0 100%  

 

⽅法

這份列表是經過20,583,763,200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⼗位玩家的賭局、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。如果要強制的話, 我會說, 你在後⾯位置需要10的 評⽐點數、在前⾯位置則需要19的評⽐點數、才能在big blind⼤盲注叫 牌。如果你的列表較為寬鬆、這在線上賭局⽐較常⾒, 那你就可以稍微寬 鬆地玩牌。

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。

 

 

其他的德州撲克連結

 

撰寫者: Michael Shackleford