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四位玩家德州扑克当中的牌⾯⾼低排序

简介

以下列表是四位玩家赌局当中最⾼牌⾯的⼤⼩排序。这份列表假设所有玩 家们都留在赌局直到最后。

栏位标题的解释:
  • 牌⾯: 最初两张牌的牌⾯。
  • 赢的机率: 这⼀⼿牌⾯会赢、或者赢局平⼿的机率。
  • 平均赢值: 这是玩家会赢的平均单位数值, 包括他⾃⼰的押注在内、如果 玩家赢的话。这个数值⼩于4、那是因为有时候玩家必须与别的赢家分享 池底。
  • 期望值: 这是在这⼀⼿牌⾯玩家预期会赢(正值)或输(负值)的单位数值。 例如, 如果玩家有⼀对Aces、并且投注$1到池底, 则玩家预期会有$1.55的 净赢值。
  • 机率: 拿到这⼀⼿起始牌⾯的机率。
  • 附加机率: 拿到这⼀⼿起始牌⾯或者进⼀步拿到更强牌⾯的机率。

 

 

针对四位玩家赌局最初扑克牌⾯的⼤⼩排⾏

牌⾯ 赢的机率 平均赢值 期望值 机率 附加机率
对⼦A 64.18% 3.98 1.553 0.45% 0.45%
对⼦K 58.59% 3.98 1.329 0.45% 0.9%
对⼦Q 53.91% 3.97 1.14 0.45% 1.36%
对⼦J 49.63% 3.96 0.9672 0.45% 1.81%
对⼦10点 45.69% 3.96 0.8081 0.45% 2.26%
A/K同花 42.52% 3.9 0.6571 0.3% 2.56%
对⼦9点 41.62% 3.95 0.6453 0.45% 3.02%
A/Q同花 41.07% 3.88 0.5935 0.3% 3.32%
A/K⾮同花 39.66% 3.89 0.5412 0.9% 4.22%
A/J同花 39.85% 3.86 0.5389 0.3% 4.52%
K/Q同花 39.41% 3.88 0.528 0.3% 4.83%
对⼦8点 38.08% 3.95 0.5034 0.45% 5.28%
A/10点同花 38.75% 3.84 0.4887 0.3% 5.58%
A/Q⾮同花 38.11% 3.87 0.4735 0.9% 6.49%
K/J同花 38.18% 3.86 0.4732 0.3% 6.79%
Q/J同花 37.02% 3.85 0.4261 0.3% 7.09%
K/10点同花 37.12% 3.84 0.4254 0.3% 7.39%
A/J⾮同花 36.75% 3.84 0.4127 0.9% 8.3%
K/Q⾮同花 36.42% 3.86 0.4068 0.9% 9.2%
A/9点同花 36.18% 3.82 0.3806 0.3% 9.5%
Q/10点同花 35.99% 3.83 0.3801 0.3% 9.8%
对⼦7点 34.9% 3.94 0.3751 0.45% 10.26%
A/10点⾮同花 35.59% 3.82 0.3597 0.9% 11.16%
J/10点同花 35.34% 3.83 0.3539 0.3% 11.46%
K/J⾮同花 35.08% 3.84 0.3474 0.9% 12.37%
A/8点同花 35.32% 3.79 0.3393 0.3% 12.67%
K/9点同花 34.53% 3.82 0.3178 0.3% 12.97%
Q/J⾮同花 33.96% 3.83 0.3018 0.9% 13.88%
A/7点同花 34.35% 3.77 0.2957 0.3% 14.18%
K/10点⾮同花 33.93% 3.82 0.2956 0.9% 15.08%
Q/9点同花 33.41% 3.81 0.2738 0.3% 15.38%
A/5点同花 33.89% 3.75 0.2698 0.3% 15.69%
对⼦6点 32.06% 3.93 0.2607 0.45% 16.14%
A/6点同花 33.32% 3.76 0.2515 0.3% 16.44%
Q/10点⾮同花 32.83% 3.81 0.2515 0.9% 17.35%
J/9点同花 32.8% 3.81 0.2491 0.3% 17.65%
A/9点⾮同花 32.79% 3.79 0.2419 0.9% 18.55%
A/4点同花 33.09% 3.74 0.2389 0.3% 18.85%
10/9点同花 32.55% 3.8 0.2383 0.3% 19.16%
K/8点同花 32.51% 3.79 0.2319 0.3% 19.46%
J/10点⾮同花 32.24% 3.81 0.2276 0.9% 20.36%
A/3点同花 32.31% 3.74 0.2095 0.3% 20.66%
K/7点同花 31.77% 3.77 0.1972 0.3% 20.97%
A/8点⾮同花 31.83% 3.76 0.1968 0.9% 21.87%
Q/8点同花 31.38% 3.79 0.1888 0.3% 22.17%
K/9点⾮同花 31.12% 3.79 0.1793 0.9% 23.08%
A/2点同花 31.44% 3.74 0.177 0.3% 23.38%
J/8点同花 30.76% 3.79 0.1645 0.3% 23.68%
K/6点同花 30.96% 3.75 0.1614 0.3% 23.98%
对⼦5点 29.47% 3.92 0.1554 0.45% 24.43%
10/8点同花 30.53% 3.78 0.1549 0.3% 24.74%
A/7点⾮同花 30.8% 3.73 0.1502 0.9% 25.64%
9/8点同花 30.06% 3.78 0.1377 0.3% 25.94%
Q/9点⾮同花 30.04% 3.78 0.1366 0.9% 26.85%
K/5点同花 30.26% 3.74 0.1305 0.3% 27.15%
A/5点⾮同花 30.25% 3.7 0.1203 0.9% 28.05%
J/9点⾮同花 29.46% 3.78 0.1134 0.9% 28.96%
Q/7点同花 29.47% 3.76 0.1084 0.3% 29.26%
10/9点⾮同花 29.28% 3.78 0.1053 0.9% 30.17%
A/6点⾮同花 29.66% 3.71 0.1016 0.9% 31.07%
K/4点同花 29.49% 3.73 0.1011 0.3% 31.37%
A/4点⾮同花 29.36% 3.7 0.086 0.9% 32.28%
K/8点⾮同花 28.93% 3.75 0.0857 0.9% 33.18%
J/7点同花 28.81% 3.76 0.0838 0.3% 33.48%
Q/6点同花 28.87% 3.74 0.0806 0.3% 33.79%
10/7点同花 28.59% 3.76 0.0752 0.3% 34.09%
K/3点同花 28.77% 3.73 0.0742 0.3% 34.39%
9/7点同花 28.31% 3.76 0.0656 0.3% 34.69%
8/7点同花 28.28% 3.77 0.0649 0.3% 34.99%
A/3点⾮同花 28.49% 3.7 0.053 0.9% 35.9%
对⼦4点 26.88% 3.91 0.052 0.45% 36.35%
Q/5点同花 28.17% 3.73 0.0502 0.3% 36.65%
K/7点⾮同花 28.14% 3.73 0.0484 0.9% 37.56%
K/2点同花 28.05% 3.73 0.0477 0.3% 37.86%
Q/8点⾮同花 27.83% 3.75 0.0441 0.9% 38.76%
J/8点⾮同花 27.26% 3.75 0.0222 0.9% 39.67%
Q/4点同花 27.43% 3.73 0.0221 0.3% 39.97%
A/2点⾮同花 27.56% 3.69 0.0181 0.9% 40.87%
10/8点⾮同花 27.1% 3.75 0.0152 0.9% 41.78%
J/6点同花 27.02% 3.74 0.0094 0.3% 42.08%
K/6点⾮同花 27.25% 3.7 0.0093 0.9% 42.99%
7/6点同花 26.74% 3.75 0.0029 0.3% 43.29%
10/6点同花 26.76% 3.74 -0.0001 0.3% 43.59%
9/8点⾮同花 26.66% 3.75 -0.0002 0.9% 44.49%
8/6点同花 26.62% 3.75 -0.0026 0.3% 44.8%
Q/3点同花 26.73% 3.73 -0.0038 0.3% 45.1%
9/6点同花 26.52% 3.74 -0.0074 0.3% 45.4%
J/5点同花 26.52% 3.72 -0.0139 0.3% 45.7%
K/5点⾮同花 26.47% 3.68 -0.0247 0.9% 46.61%
Q/2点同花 26.01% 3.73 -0.0302 0.3% 46.91%
对⼦3点 24.56% 3.91 -0.0408 0.45% 47.36%
J/4点同花 25.79% 3.72 -0.0414 0.3% 47.66%
Q/7点⾮同花 25.76% 3.72 -0.0429 0.9% 48.57%
6/5点同花 25.36% 3.74 -0.052 0.3% 48.87%
K/4点⾮同花 25.65% 3.68 -0.0562 0.9% 49.77%
7/5点同花 25.13% 3.73 -0.0622 0.3% 50.08%
J/7点⾮同花 25.18% 3.72 -0.0643 0.9% 50.98%
J/3点同花 25.09% 3.72 -0.0671 0.3% 51.28%
10/5点同花 25.07% 3.71 -0.0697 0.3% 51.58%
10/7点⾮同花 25.03% 3.72 -0.0701 0.9% 52.49%
8/5点同花 24.89% 3.73 -0.0727 0.3% 52.79%
Q/6点⾮同花 25.11% 3.69 -0.0733 0.9% 53.7%
8/7点⾮同花 24.77% 3.72 -0.0773 0.9% 54.6%
9/5点同花 24.77% 3.72 -0.0786 0.3% 54.9%
9/7点⾮同花 24.76% 3.72 -0.0786 0.9% 55.81%
K/3点⾮同花 24.84% 3.68 -0.0867 0.9% 56.71%
10/4点同花 24.54% 3.71 -0.0903 0.3% 57.01%
J/2点同花 24.41% 3.72 -0.0918 0.3% 57.32%
5/4点同花 24.33% 3.73 -0.0927 0.3% 57.62%
Q/5点⾮同花 24.35% 3.67 -0.1063 0.9% 58.52%
6/4点同花 23.74% 3.73 -0.1148 0.3% 58.82%
K/2点⾮同花 24.05% 3.68 -0.1159 0.9% 59.73%
10/3点同花 23.82% 3.71 -0.1164 0.3% 60.03%
对⼦2点 22.51% 3.9 -0.1227 0.45% 60.48%
7/4点同花 23.39% 3.72 -0.1296 0.3% 60.78%
Q/4点⾮同花 23.54% 3.67 -0.1372 0.9% 61.69%
10/2点同花 23.15% 3.71 -0.1408 0.3% 61.99%
8/4点同花 23.13% 3.71 -0.1413 0.3% 62.29%
7/6点⾮同花 23.12% 3.7 -0.1438 0.9% 63.2%
J/6点⾮同花 23.22% 3.68 -0.1458 0.9% 64.1%
9/4点同花 23.05% 3.71 -0.1459 0.3% 64.4%
8/6点⾮同花 22.96% 3.7 -0.1512 0.9% 65.31%
10/6点⾮同花 23.03% 3.68 -0.152 0.9% 66.21%
5/3点同花 22.72% 3.72 -0.1543 0.3% 66.52%
9/6点⾮同花 22.82% 3.69 -0.1578 0.9% 67.42%
9/3点同花 22.55% 3.7 -0.1647 0.3% 67.72%
Q/3点⾮同花 22.75% 3.66 -0.1662 0.9% 68.63%
J/5点⾮同花 22.67% 3.66 -0.1709 0.9% 69.53%
6/3点同花 22% 3.72 -0.1815 0.3% 69.83%
4/3点同花 21.9% 3.72 -0.1843 0.3% 70.14%
9/2点同花 21.89% 3.71 -0.1884 0.3% 70.44%
Q/2点⾮同花 21.99% 3.66 -0.1943 0.9% 71.34%
7/3点同花 21.64% 3.71 -0.1972 0.3% 71.64%
J/4点⾮同花 21.89% 3.65 -0.2008 0.9% 72.55%
6/5点⾮同花 21.67% 3.68 -0.202 0.9% 73.45%
8/3点同花 21.41% 3.7 -0.2078 0.3% 73.76%
7/5点⾮同花 21.4% 3.67 -0.2138 0.9% 74.66%
5/2点同花 21.03% 3.71 -0.2191 0.3% 74.96%
8/2点同花 20.94% 3.7 -0.2252 0.3% 75.26%
8/5点⾮同花 21.11% 3.66 -0.2266 0.9% 76.17%
10/5点⾮同花 21.19% 3.64 -0.228 0.9% 77.07%
J/3点⾮同花 21.11% 3.65 -0.2293 0.9% 77.98%
9/5点⾮同花 20.93% 3.65 -0.2351 0.9% 78.88%
4/2点同花 20.32% 3.72 -0.2444 0.3% 79.19%
5/4点⾮同花 20.58% 3.67 -0.245 0.9% 80.09%
6/2点同花 20.28% 3.71 -0.2475 0.3% 80.39%
10/4点⾮同花 20.61% 3.64 -0.2509 0.9% 81.3%
J/2点⾮同花 20.35% 3.65 -0.2574 0.9% 82.2%
7/2点同花 19.97% 3.7 -0.2615 0.3% 82.5%
6/4点⾮同花 19.93% 3.67 -0.2695 0.9% 83.41%
3/2点同花 19.52% 3.72 -0.2737 0.3% 83.71%
10/3点⾮同花 19.84% 3.63 -0.2791 0.9% 84.62%
7/4点⾮同花 19.51% 3.65 -0.2874 0.9% 85.52%
8/4点⾮同花 19.2% 3.64 -0.3011 0.9% 86.43%
10/2点⾮同花 19.09% 3.63 -0.3065 0.9% 87.33%
9/4点⾮同花 19.07% 3.63 -0.3081 0.9% 88.24%
5/3点⾮同花 18.86% 3.65 -0.3114 0.9% 89.14%
9/3点⾮同花 18.51% 3.62 -0.3291 0.9% 90.05%
6/3点⾮同花 18.06% 3.65 -0.3415 0.9% 90.95%
4/3点⾮同花 17.96% 3.65 -0.3438 0.9% 91.86%
9/2点⾮同花 17.78% 3.62 -0.356 0.9% 92.76%
7/3点⾮同花 17.62% 3.63 -0.3604 0.9% 93.67%
8/3点⾮同花 17.36% 3.61 -0.3726 0.9% 94.57%
5/2点⾮同花 17.01% 3.63 -0.3823 0.9% 95.48%
8/2点⾮同花 16.83% 3.61 -0.3926 0.9% 96.38%
4/2点⾮同花 16.26% 3.63 -0.4092 0.9% 97.29%
6/2点⾮同花 16.2% 3.62 -0.4135 0.9% 98.19%
7/2点⾮同花 15.83% 3.6 -0.43 0.9% 99.1%
3/2点⾮同花 15.39% 3.63 -0.4412 0.9% 100%
总计   3.75 0 100%  

 

⽅法

这份列表是经过38,594,556,000次随机模拟的赌局所产⽣的结果、假设所 有的玩家们都持续玩到赌局最后。

以下的图表显⽰我针对四位玩家的赌局、每⼀⼿最初两张牌⾯的排序对照 表。其数值是以0到40为评⽐尺度。如果你有⼀个对⼦、则使⽤最上⽅的 图表, 如果你有两张同花牌⾯、则使⽤中间的图表, 最底下的图表是如果你 的两张牌各为不同的花⾊情况。

 

 

内部连结

 

撰写者: Michael Shackleford