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Eight-Player Power Ratings in Texas Hold ’Em

Introduction

The following table ranks the top hands in an 8-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 8 because sometimes the player will have to split the pot.
  • Expected value: This is how many units the player can expected 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 $2.09.
  • 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 8-Player Game

Cards Probability of Win Average Win Expected Value Probability Additive Probability
Pair of A's 39.05% 7.94 2.099 0.45% 0.45%
Pair of K's 33.26% 7.92 1.6328 0.45% 0.9%
Pair of Q's 28.71% 7.88 1.2628 0.45% 1.36%
A/K suited 26% 7.67 0.9953 0.3% 1.66%
Pair of J's 25.13% 7.84 0.9705 0.45% 2.11%
A/Q suited 24.51% 7.6 0.8628 0.3% 2.41%
K/Q suited 23.72% 7.61 0.8043 0.3% 2.71%
A/J suited 23.41% 7.53 0.7616 0.3% 3.02%
Pair of T's 22.32% 7.79 0.7395 0.45% 3.47%
A/K unsuited 22.68% 7.61 0.7264 0.9% 4.37%
K/J suited 22.66% 7.53 0.7073 0.3% 4.68%
A/T suited 22.55% 7.45 0.6803 0.3% 4.98%
Q/J suited 22.1% 7.52 0.6622 0.3% 5.28%
K/T suited 21.87% 7.47 0.633 0.3% 5.58%
Q/T suited 21.38% 7.45 0.5936 0.3% 5.88%
J/T suited 21.26% 7.44 0.5813 0.3% 6.18%
A/Q unsuited 20.98% 7.51 0.5765 0.9% 7.09%
Pair of 9's 19.89% 7.81 0.5527 0.45% 7.54%
K/Q unsuited 20.31% 7.52 0.5281 0.9% 8.45%
A/9 suited 20.28% 7.39 0.4981 0.3% 8.75%
A/J unsuited 19.7% 7.41 0.4607 0.9% 9.65%
K/9 suited 19.5% 7.42 0.4466 0.3% 9.95%
A/8 suited 19.66% 7.32 0.4386 0.3% 10.26%
K/J unsuited 19.1% 7.43 0.4183 0.9% 11.16%
Pair of 8's 18.19% 7.79 0.4164 0.45% 11.61%
T/9 suited 19.18% 7.38 0.4162 0.3% 11.92%
Q/9 suited 19.03% 7.41 0.4107 0.3% 12.22%
J/9 suited 18.96% 7.4 0.4032 0.3% 12.52%
A/5 suited 19.29% 7.21 0.3914 0.3% 12.82%
A/7 suited 19.12% 7.26 0.3883 0.3% 13.12%
Q/J unsuited 18.67% 7.41 0.3832 0.9% 14.03%
A/T unsuited 18.74% 7.31 0.3705 0.9% 14.93%
A/4 suited 18.86% 7.23 0.3638 0.3% 15.23%
A/6 suited 18.62% 7.22 0.3448 0.3% 15.54%
A/3 suited 18.41% 7.26 0.336 0.3% 15.84%
K/T unsuited 18.18% 7.33 0.3328 0.9% 16.74%
K/8 suited 18.05% 7.33 0.3234 0.3% 17.04%
Pair of 7's 16.85% 7.77 0.309 0.45% 17.5%
Q/T unsuited 17.83% 7.32 0.3044 0.9% 18.4%
J/T unsuited 17.86% 7.3 0.3041 0.9% 19.31%
A/2 suited 17.86% 7.28 0.2997 0.3% 19.61%
T/8 suited 17.68% 7.32 0.2949 0.3% 19.91%
Q/8 suited 17.51% 7.34 0.285 0.3% 20.21%
J/8 suited 17.44% 7.33 0.2792 0.3% 20.51%
K/7 suited 17.57% 7.27 0.2777 0.3% 20.81%
9/8 suited 17.31% 7.38 0.2768 0.3% 21.12%
K/6 suited 17.17% 7.23 0.2413 0.3% 21.42%
Pair of 6's 15.84% 7.75 0.2282 0.45% 21.87%
K/5 suited 16.83% 7.2 0.2117 0.3% 22.17%
8/7 suited 16.38% 7.35 0.2033 0.3% 22.47%
K/4 suited 16.44% 7.22 0.1869 0.3% 22.78%
9/7 suited 16.2% 7.33 0.1868 0.3% 23.08%
T/7 suited 16.3% 7.26 0.1827 0.3% 23.38%
Q/7 suited 16.22% 7.25 0.1756 0.3% 23.68%
A/9 unsuited 16.27% 7.2 0.1711 0.9% 24.59%
J/7 suited 16.07% 7.26 0.1662 0.3% 24.89%
K/3 suited 16.06% 7.26 0.1653 0.3% 25.19%
Pair of 5's 14.93% 7.73 0.1542 0.45% 25.64%
7/6 suited 15.66% 7.33 0.1481 0.3% 25.94%
K/2 suited 15.7% 7.29 0.1446 0.3% 26.24%
Q/6 suited 15.85% 7.2 0.1417 0.3% 26.55%
T/9 unsuited 15.71% 7.21 0.1332 0.9% 27.45%
K/9 unsuited 15.62% 7.24 0.1308 0.9% 28.36%
8/6 suited 15.37% 7.3 0.1223 0.3% 28.66%
Q/5 suited 15.56% 7.17 0.1158 0.3% 28.96%
Pair of 4's 14.31% 7.76 0.1103 0.45% 29.41%
J/9 unsuited 15.34% 7.22 0.1081 0.9% 30.32%
6/5 suited 15.12% 7.32 0.1067 0.3% 30.62%
Q/9 unsuited 15.27% 7.23 0.1044 0.9% 31.52%
A/8 unsuited 15.55% 7.1 0.1037 0.9% 32.43%
Q/4 suited 15.16% 7.2 0.0916 0.3% 32.73%
9/6 suited 14.99% 7.26 0.0891 0.3% 33.03%
5/4 suited 14.74% 7.32 0.0789 0.3% 33.33%
T/6 suited 15.03% 7.18 0.0785 0.3% 33.63%
Pair of 3's 13.83% 7.8 0.0782 0.45% 34.09%
7/5 suited 14.74% 7.29 0.0741 0.3% 34.39%
Q/3 suited 14.81% 7.24 0.0721 0.3% 34.69%
J/6 suited 14.92% 7.17 0.0691 0.3% 34.99%
Pair of 2's 13.49% 7.83 0.057 0.45% 35.44%
Q/2 suited 14.46% 7.28 0.0524 0.3% 35.75%
A/5 unsuited 15.1% 6.95 0.0489 0.9% 36.65%
A/7 unsuited 14.94% 7.01 0.0473 0.9% 37.56%
J/5 suited 14.66% 7.13 0.0454 0.3% 37.86%
6/4 suited 14.07% 7.33 0.0306 0.3% 38.16%
8/5 suited 14.22% 7.24 0.0303 0.3% 38.46%
J/4 suited 14.28% 7.16 0.0222 0.3% 38.76%
A/4 unsuited 14.63% 6.96 0.0184 0.9% 39.67%
5/3 suited 13.71% 7.33 0.0049 0.3% 39.97%
J/3 suited 13.92% 7.2 0.0023 0.3% 40.27%
A/6 unsuited 14.39% 6.95 0 0.9% 41.18%
T/8 unsuited 14.07% 7.11 -0.0002 0.9% 42.08%
K/8 unsuited 14.01% 7.09 -0.0059 0.9% 42.99%
9/5 suited 13.81% 7.19 -0.0066 0.3% 43.29%
T/5 suited 13.98% 7.09 -0.0092 0.3% 43.59%
A/3 unsuited 14.15% 6.99 -0.0111 0.9% 44.49%
9/8 unsuited 13.73% 7.18 -0.0137 0.9% 45.4%
J/2 suited 13.59% 7.24 -0.0154 0.3% 45.7%
7/4 suited 13.48% 7.28 -0.0187 0.3% 46%
J/8 unsuited 13.68% 7.11 -0.0278 0.9% 46.91%
T/4 suited 13.64% 7.11 -0.0304 0.3% 47.21%
Q/8 unsuited 13.6% 7.11 -0.0331 0.9% 48.11%
4/3 suited 13.09% 7.37 -0.0351 0.3% 48.42%
T/3 suited 13.3% 7.15 -0.049 0.3% 48.72%
A/2 unsuited 13.54% 7.01 -0.0507 0.9% 49.62%
K/7 unsuited 13.48% 7 -0.0557 0.9% 50.53%
6/3 suited 12.85% 7.33 -0.0587 0.3% 50.83%
8/4 suited 12.98% 7.22 -0.0626 0.3% 51.13%
T/2 suited 12.95% 7.19 -0.0682 0.3% 51.43%
5/2 suited 12.5% 7.33 -0.0839 0.3% 51.73%
8/7 unsuited 12.79% 7.13 -0.0877 0.9% 52.64%
9/4 suited 12.71% 7.16 -0.0908 0.3% 52.94%
K/6 unsuited 13.02% 6.94 -0.0972 0.9% 53.85%
4/2 suited 12.08% 7.38 -0.1079 0.3% 54.15%
7/3 suited 12.25% 7.27 -0.1101 0.3% 54.45%
9/3 suited 12.37% 7.19 -0.1108 0.3% 54.75%
9/7 unsuited 12.54% 7.09 -0.1114 0.9% 55.66%
T/7 unsuited 12.55% 6.98 -0.1238 0.9% 56.56%
9/2 suited 12.03% 7.24 -0.1287 0.3% 56.86%
K/5 unsuited 12.65% 6.88 -0.1298 0.9% 57.77%
7/6 unsuited 12.08% 7.09 -0.1433 0.9% 58.67%
8/3 suited 11.88% 7.19 -0.1452 0.3% 58.97%
3/2 suited 11.49% 7.43 -0.1454 0.3% 59.28%
6/2 suited 11.62% 7.32 -0.1492 0.3% 59.58%
Q/7 unsuited 12.22% 6.95 -0.1511 0.9% 60.48%
J/7 unsuited 12.18% 6.97 -0.1514 0.9% 61.39%
K/4 unsuited 12.21% 6.9 -0.1579 0.9% 62.29%
8/2 suited 11.57% 7.23 -0.163 0.3% 62.59%
8/6 unsuited 11.7% 7.04 -0.1767 0.9% 63.5%
K/3 unsuited 11.79% 6.94 -0.1818 0.9% 64.4%
6/5 unsuited 11.51% 7.07 -0.1865 0.9% 65.31%
Q/6 unsuited 11.81% 6.87 -0.189 0.9% 66.21%
7/2 suited 11.19% 7.24 -0.1897 0.3% 66.52%
K/2 unsuited 11.41% 6.98 -0.2035 0.9% 67.42%
5/4 unsuited 11.12% 7.06 -0.2149 0.9% 68.33%
9/6 unsuited 11.22% 6.97 -0.2182 0.9% 69.23%
Q/5 unsuited 11.46% 6.82 -0.2191 0.9% 70.14%
7/5 unsuited 11.07% 7 -0.2249 0.9% 71.04%
T/6 unsuited 11.18% 6.83 -0.2361 0.9% 71.95%
Q/4 unsuited 11.03% 6.84 -0.2454 0.9% 72.85%
J/6 unsuited 10.94% 6.8 -0.2562 0.9% 73.76%
6/4 unsuited 10.39% 7.05 -0.2677 0.9% 74.66%
Q/3 unsuited 10.63% 6.88 -0.2679 0.9% 75.57%
8/5 unsuited 10.47% 6.92 -0.2757 0.9% 76.47%
J/5 unsuited 10.64% 6.73 -0.2837 0.9% 77.38%
Q/2 unsuited 10.26% 6.93 -0.289 0.9% 78.28%
5/3 unsuited 10.04% 7.04 -0.2936 0.9% 79.19%
J/4 unsuited 10.22% 6.76 -0.3091 0.9% 80.09%
9/5 unsuited 9.97% 6.82 -0.3206 0.9% 81%
7/4 unsuited 9.73% 6.95 -0.3238 0.9% 81.9%
T/5 unsuited 10.06% 6.65 -0.3308 0.9% 82.81%
J/3 unsuited 9.83% 6.81 -0.3312 0.9% 83.71%
4/3 unsuited 9.38% 7.08 -0.336 0.9% 84.62%
J/2 unsuited 9.46% 6.86 -0.3512 0.9% 85.52%
T/4 unsuited 9.66% 6.67 -0.3554 0.9% 86.43%
6/3 unsuited 9.08% 7 -0.3642 0.9% 87.33%
8/4 unsuited 9.12% 6.84 -0.3766 0.9% 88.24%
T/3 unsuited 9.28% 6.72 -0.3767 0.9% 89.14%
5/2 unsuited 8.73% 7 -0.3892 0.9% 90.05%
T/2 unsuited 8.93% 6.76 -0.3962 0.9% 90.95%
9/4 unsuited 8.76% 6.71 -0.4126 0.9% 91.86%
4/2 unsuited 8.3% 7.06 -0.4138 0.9% 92.76%
7/3 unsuited 8.41% 6.88 -0.4219 0.9% 93.67%
9/3 unsuited 8.4% 6.74 -0.4338 0.9% 94.57%
9/2 unsuited 8.04% 6.8 -0.4531 0.9% 95.48%
3/2 unsuited 7.67% 7.12 -0.4543 0.9% 96.38%
6/2 unsuited 7.79% 6.94 -0.46 0.9% 97.29%
8/3 unsuited 7.96% 6.73 -0.4646 0.9% 98.19%
8/2 unsuited 7.61% 6.77 -0.4844 0.9% 99.1%
7/2 unsuited 7.28% 6.77 -0.5073 0.9% 100%
Total   7.2 0 100%  

 

Methodology

This table is the result of a random simulation of 25,729,704,000 games 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 8-player game. The numbers are on a 0 to 40 scale. Basically, you should only play hands that are dark green, blue, or purple. Of course you should be more be more liberal in late position and picky in early position.

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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Written by: Michael Shackleford