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Six-Player Power Ratings in Texas Hold ’Em

Introduction

The following table ranks the top hands in a 6-player game. This table assumes that all players stay in until the end.

Explanation of column headings:
  • Cards: Initial two-card hand.
  • Probability of win: Probability that this hand will win, or tie for the win.
  • Average win: This is how much the player will win on average, including his own bets, if the player does win. This is less than 6 because sometimes the player will have to split the pot.
  • Expected value: This is how many units the player can expect to win (positive) or lose (negative) with this hand. For example if the player had a pair of aces and contributed $1 to the pot then the player could expect to have a net win of $1.95.
  • Probability: Probability of getting this hand to begin with.
  • Additive probability: Probability of getting this hand or any stronger hand to begin with.

 

Initial Hold'em Hands in Rank Order for 6-Player Game

Cards Probability of Win Average Win Expected Value Probability Additive Probability
Pair of A's 49.51% 5.96 1.9508 0.45% 0.45%
Pair of K's 43.32% 5.95 1.5775 0.45% 0.90%
Pair of Q's 38.3% 5.93 1.2729 0.45% 1.36%
Pair of J's 34.05% 5.92 1.0142 0.45% 1.81%
A/K suited 32.15% 5.8 0.8641 0.30% 2.11%
Pair of T's 30.44% 5.89 0.7944 0.45% 2.56%
A/Q suited 30.56% 5.76 0.7589 0.30% 2.87%
K/Q suited 29.55% 5.76 0.7015 0.30% 3.17%
A/J suited 29.28% 5.71 0.6723 0.30% 3.47%
A/K unsuited 28.96% 5.77 0.6704 0.90% 4.37%
K/J suited 28.28% 5.72 0.6167 0.30% 4.68%
A/T suited 28.27% 5.67 0.6021 0.30% 4.98%
Pair of 9's 27.11% 5.89 0.5978 0.45% 5.43%
Q/J suited 27.57% 5.71 0.5737 0.30% 5.73%
A/Q unsuited 27.21% 5.71 0.555 0.90% 6.64%
K/T suited 27.32% 5.68 0.5506 0.30% 6.94%
Q/T suited 26.64% 5.67 0.5101 0.30% 7.24%
K/Q unsuited 26.28% 5.72 0.5028 0.90% 8.14%
J/T suited 26.33% 5.66 0.4904 0.30% 8.45%
A/J unsuited 25.79% 5.66 0.4597 0.90% 9.35%
A/9 suited 25.75% 5.62 0.4474 0.30% 9.65%
Pair of 8's 24.51% 5.88 0.4416 0.45% 10.11%
K/J unsuited 24.88% 5.67 0.4097 0.90% 11.01%
K/9 suited 24.73% 5.64 0.3946 0.30% 11.31%
A/8 suited 24.98% 5.58 0.3933 0.30% 11.61%
A/T unsuited 24.66% 5.6 0.3817 0.90% 12.52%
Q/J unsuited 24.26% 5.66 0.3721 0.90% 13.42%
Q/9 suited 24.07% 5.64 0.3565 0.30% 13.73%
A/7 suited 24.27% 5.54 0.3444 0.30% 14.03%
T/9 suited 23.9% 5.62 0.3432 0.30% 14.33%
J/9 suited 23.82% 5.63 0.3408 0.30% 14.63%
K/T unsuited 23.8% 5.61 0.3356 0.90% 15.54%
A/5 suited 24.19% 5.5 0.3309 0.30% 15.84%
Pair of 7's 22.35% 5.87 0.3116 0.45% 16.29%
Q/T unsuited 23.2% 5.61 0.3006 0.90% 17.19%
A/4 suited 23.63% 5.5 0.3002 0.30% 17.5%
A/6 suited 23.5% 5.51 0.2954 0.30% 17.8%
J/T unsuited 23.03% 5.6 0.2895 0.90% 18.7%
K/8 suited 22.97% 5.58 0.283 0.30% 19%
A/3 suited 23.05% 5.51 0.2705 0.30% 19.31%
Q/8 suited 22.24% 5.59 0.2436 0.30% 19.61%
K/7 suited 22.37% 5.55 0.2406 0.30% 19.91%
A/2 suited 22.39% 5.52 0.2357 0.30% 20.21%
T/8 suited 22.12% 5.58 0.2345 0.30% 20.51%
J/8 suited 22.01% 5.59 0.2298 0.30% 20.81%
9/8 suited 21.72% 5.6 0.2165 0.30% 21.12%
A/9 unsuited 21.93% 5.53 0.2136 0.90% 22.02%
Pair of 6's 20.59% 5.85 0.2054 0.45% 22.47%
K/6 suited 21.75% 5.52 0.1996 0.30% 22.78%
K/5 suited 21.29% 5.49 0.1692 0.30% 23.08%
K/9 unsuited 20.98% 5.56 0.1659 0.90% 23.98%
A/8 unsuited 21.07% 5.47 0.1533 0.90% 24.89%
Q/7 suited 20.65% 5.54 0.1434 0.30% 25.19%
K/4 suited 20.75% 5.5 0.1406 0.30% 25.49%
8/7 suited 20.39% 5.57 0.1367 0.30% 25.79%
Q/9 unsuited 20.41% 5.55 0.1334 0.90% 26.7%
T/7 suited 20.46% 5.54 0.1333 0.30% 27%
T/9 unsuited 20.44% 5.54 0.1322 0.90% 27.9%
9/7 suited 20.30% 5.57 0.1299 0.30% 28.21%
J/7 suited 20.38% 5.54 0.1293 0.30% 28.51%
J/9 unsuited 20.28% 5.55 0.1248 0.90% 29.41%
K/3 suited 20.25% 5.51 0.1154 0.30% 29.71%
Pair of 5's 19.05% 5.84 0.1118 0.45% 30.17%
Q/6 suited 20.19% 5.5 0.1109 0.30% 30.47%
A/7 unsuited 20.25% 5.42 0.0981 0.90% 31.37%
K/2 suited 19.76% 5.52 0.0909 0.30% 31.67%
A/5 unsuited 20.15% 5.37 0.083 0.90% 32.58%
Q/5 suited 19.72% 5.48 0.0806 0.30% 32.88%
7/6 suited 19.31% 5.56 0.0736 0.30% 33.18%
8/6 suited 19.11% 5.54 0.059 0.30% 33.48%
Q/4 suited 19.22% 5.49 0.0547 0.30% 33.79%
A/4 unsuited 19.51% 5.37 0.0484 0.90% 34.69%
A/6 unsuited 19.43% 5.38 0.0458 0.90% 35.6%
K/8 unsuited 19.04% 5.48 0.043 0.90% 36.5%
T/6 suited 18.95% 5.49 0.0407 0.30% 36.8%
9/6 suited 18.82% 5.53 0.0402 0.30% 37.1%
J/6 suited 18.92% 5.49 0.038 0.30% 37.41%
Pair of 4's 17.76% 5.84 0.0369 0.45% 37.86%
Q/3 suited 18.69% 5.5 0.0281 0.30% 38.16%
6/5 suited 18.45% 5.55 0.0233 0.30% 38.46%
A/3 unsuited 18.87% 5.38 0.0148 0.90% 39.37%
T/8 unsuited 18.5% 5.48 0.0138 0.90% 40.27%
J/5 suited 18.56% 5.46 0.0131 0.30% 40.57%
Q/8 unsuited 18.43% 5.48 0.0104 0.90% 41.48%
Q/2 suited 18.25% 5.52 0.0063 0.30% 41.78%
J/8 unsuited 18.31% 5.48 0.004 0.90% 42.68%
7/5 suited 18.1% 5.53 0.0007 0.30% 42.99%
9/8 unsuited 18.14% 5.5 -0.0013 0.90% 43.89%
K/7 unsuited 18.38% 5.42 -0.0036 0.90% 44.8%
5/4 suited 17.82% 5.54 -0.0125 0.30% 45.1%
J/4 suited 18.03% 5.47 -0.0139 0.30% 45.4%
A/2 unsuited 18.15% 5.38 -0.0235 0.90% 46.3%
8/5 suited 17.73% 5.5 -0.0244 0.30% 46.61%
Pair of 3's 16.69% 5.85 -0.0245 0.45% 47.06%
J/3 suited 17.57% 5.48 -0.0365 0.30% 47.36%
T/5 suited 17.62% 5.44 -0.041 0.30% 47.66%
9/5 suited 17.41% 5.48 -0.0458 0.30% 47.96%
K/6 unsuited 17.72% 5.38 -0.047 0.90% 48.87%
6/4 suited 17.17% 5.54 -0.0484 0.30% 49.17%
J/2 suited 17.11% 5.5 -0.0589 0.30% 49.47%
T/4 suited 17.19% 5.44 -0.0643 0.30% 49.77%
Pair of 2's 15.87% 5.85 -0.0708 0.45% 50.23%
7/4 suited 16.66% 5.52 -0.0809 0.30% 50.53%
5/3 suited 16.59% 5.54 -0.081 0.30% 50.83%
K/5 unsuited 17.18% 5.34 -0.0829 0.90% 51.73%
8/7 unsuited 16.76% 5.47 -0.0841 0.90% 52.64%
T/3 suited 16.72% 5.46 -0.0871 0.30% 52.94%
9/7 unsuited 16.61% 5.45 -0.0953 0.90% 53.85%
T/7 unsuited 16.71% 5.41 -0.0962 0.90% 54.75%
Q/7 unsuited 16.7% 5.4 -0.098 0.90% 55.66%
J/7 unsuited 16.51% 5.41 -0.1073 0.90% 56.56%
8/4 suited 16.25% 5.49 -0.1085 0.30% 56.86%
T/2 suited 16.27% 5.48 -0.1089 0.30% 57.16%
K/4 unsuited 16.59% 5.34 -0.114 0.90% 58.07%
4/3 suited 15.9% 5.56 -0.1162 0.30% 58.37%
9/4 suited 16.05% 5.46 -0.1237 0.30% 58.67%
6/3 suited 15.77% 5.54 -0.127 0.30% 58.97%
Q/6 unsuited 16.17% 5.35 -0.135 0.90% 59.88%
K/3 unsuited 16.03% 5.35 -0.142 0.90% 60.78%
9/3 suited 15.67% 5.47 -0.143 0.30% 61.09%
7/6 unsuited 15.62% 5.43 -0.1512 0.90% 61.99%
5/2 suited 15.19% 5.53 -0.1593 0.30% 62.29%
7/3 suited 15.25% 5.51 -0.1605 0.30% 62.59%
9/2 suited 15.22% 5.49 -0.1644 0.30% 62.9%
Q/5 unsuited 15.66% 5.31 -0.1685 0.90% 63.8%
K/2 unsuited 15.49% 5.36 -0.1695 0.90% 64.71%
8/6 unsuited 15.35% 5.41 -0.1698 0.90% 65.61%
8/3 suited 14.94% 5.47 -0.1832 0.30% 65.91%
4/2 suited 14.68% 5.56 -0.1836 0.30% 66.21%
9/6 unsuited 15% 5.38 -0.193 0.90% 67.12%
T/6 unsuited 15.06% 5.33 -0.1972 0.90% 68.02%
Q/4 unsuited 15.08% 5.31 -0.1987 0.90% 68.93%
8/2 suited 14.58% 5.49 -0.2 0.30% 69.23%
6/5 unsuited 14.71% 5.41 -0.2045 0.90% 70.14%
J/6 unsuited 14.94% 5.32 -0.2053 0.90% 71.04%
6/2 suited 14.37% 5.53 -0.2056 0.30% 71.34%
3/2 suited 14.02% 5.58 -0.2171 0.30% 71.64%
Q/3 unsuited 14.52% 5.33 -0.2267 0.90% 72.55%
7/5 unsuited 14.34% 5.38 -0.2289 0.90% 73.45%
7/2 suited 13.97% 5.49 -0.2331 0.30% 73.76%
J/5 unsuited 14.53% 5.27 -0.2339 0.90% 74.66%
5/4 unsuited 14.05% 5.39 -0.2418 0.90% 75.57%
Q/2 unsuited 14% 5.34 -0.2523 0.90% 76.47%
8/5 unsuited 13.87% 5.34 -0.2595 0.90% 77.38%
J/4 unsuited 13.96% 5.28 -0.2632 0.90% 78.28%
6/4 unsuited 13.34% 5.39 -0.2814 0.90% 79.19%
9/5 unsuited 13.48% 5.3 -0.2859 0.90% 80.09%
T/5 unsuited 13.63% 5.24 -0.2859 0.90% 81%
J/3 unsuited 13.42% 5.29 -0.2898 0.90% 81.9%
T/4 unsuited 13.16% 5.23 -0.3113 0.90% 82.81%
J/2 unsuited 12.92% 5.3 -0.3147 0.90% 83.71%
5/3 unsuited 12.71% 5.38 -0.3167 0.90% 84.62%
7/4 unsuited 12.78% 5.34 -0.3175 0.90% 85.52%
T/3 unsuited 12.62% 5.25 -0.3377 0.90% 86.43%
8/4 unsuited 12.29% 5.29 -0.35 0.90% 87.33%
4/3 unsuited 11.99% 5.39 -0.3537 0.90% 88.24%
T/2 unsuited 12.12% 5.26 -0.3623 0.90% 89.14%
6/3 unsuited 11.82% 5.35 -0.3672 0.90% 90.05%
9/4 unsuited 12.01% 5.24 -0.371 0.90% 90.95%
9/3 unsuited 11.58% 5.25 -0.3927 0.90% 91.86%
5/2 unsuited 11.23% 5.34 -0.3998 0.90% 92.76%
7/3 unsuited 11.24% 5.3 -0.4046 0.90% 93.67%
9/2 unsuited 11.08% 5.26 -0.417 0.90% 94.57%
4/2 unsuited 10.67% 5.37 -0.4267 0.90% 95.48%
8/3 unsuited 10.86% 5.23 -0.4314 0.90% 96.38%
6/2 unsuited 10.32% 5.31 -0.4519 0.90% 97.29%
8/2 unsuited 10.45% 5.24 -0.4522 0.90% 98.19%
3/2 unsuited 9.98% 5.39 -0.462 0.90% 99.1%
7/2 unsuited 9.87% 5.24 -0.4833 0.90% 100%
Total 18.14% 5.51 0 100% 0%

 

Top 20% of Hands in 6-Player Game

 
  • Pair of sevens or higher.
  • Suited A/7 or higher.
  • Suited A/5.
  • Any two suited cards both 9 or higher.
  • Unsuited A/T or higher.
  • Unsuited K/T or higher.
  • Unsuited Q/J.
 

Methodology

 

This table is the result of a random simulation and assumes all players stay in until the end of the hand.

The following table shows my power rating for each initial 2-card hand in a 6-player game. The numbers are on a 0 to 40 scale. Use the top table if you have a pair, the middle table if your cards are suited, and the bottom table if your cards are unsuited. Except for a pair,look up your high card along the left and your low card along the top.

 

 

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