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Four-Player Power Ratings in Texas Hold ’Em

Introduction

The following table ranks the top hands in a 4-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 4 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 $1.55.
  • 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 4-Player Game

Cards Probability of Win Average Win Expected Value Probability Additive Probability
Pair of A's 64.18% 3.98 1.553 0.45% 0.45%
Pair of K's 58.59% 3.98 1.329 0.45% 0.9%
Pair of Q's 53.91% 3.97 1.14 0.45% 1.36%
Pair of J's 49.63% 3.96 0.9672 0.45% 1.81%
Pair of T's 45.69% 3.96 0.8081 0.45% 2.26%
A/K suited 42.52% 3.9 0.6571 0.3% 2.56%
Pair of 9's 41.62% 3.95 0.6453 0.45% 3.02%
A/Q suited 41.07% 3.88 0.5935 0.3% 3.32%
A/K unsuited 39.66% 3.89 0.5412 0.9% 4.22%
A/J suited 39.85% 3.86 0.5389 0.3% 4.52%
K/Q suited 39.41% 3.88 0.528 0.3% 4.83%
Pair of 8's 38.08% 3.95 0.5034 0.45% 5.28%
A/T suited 38.75% 3.84 0.4887 0.3% 5.58%
A/Q unsuited 38.11% 3.87 0.4735 0.9% 6.49%
K/J suited 38.18% 3.86 0.4732 0.3% 6.79%
Q/J suited 37.02% 3.85 0.4261 0.3% 7.09%
K/T suited 37.12% 3.84 0.4254 0.3% 7.39%
A/J unsuited 36.75% 3.84 0.4127 0.9% 8.3%
K/Q unsuited 36.42% 3.86 0.4068 0.9% 9.2%
A/9 suited 36.18% 3.82 0.3806 0.3% 9.5%
Q/T suited 35.99% 3.83 0.3801 0.3% 9.8%
Pair of 7's 34.9% 3.94 0.3751 0.45% 10.26%
A/T unsuited 35.59% 3.82 0.3597 0.9% 11.16%
J/T suited 35.34% 3.83 0.3539 0.3% 11.46%
K/J unsuited 35.08% 3.84 0.3474 0.9% 12.37%
A/8 suited 35.32% 3.79 0.3393 0.3% 12.67%
K/9 suited 34.53% 3.82 0.3178 0.3% 12.97%
Q/J unsuited 33.96% 3.83 0.3018 0.9% 13.88%
A/7 suited 34.35% 3.77 0.2957 0.3% 14.18%
K/T unsuited 33.93% 3.82 0.2956 0.9% 15.08%
Q/9 suited 33.41% 3.81 0.2738 0.3% 15.38%
A/5 suited 33.89% 3.75 0.2698 0.3% 15.69%
Pair of 6's 32.06% 3.93 0.2607 0.45% 16.14%
A/6 suited 33.32% 3.76 0.2515 0.3% 16.44%
Q/T unsuited 32.83% 3.81 0.2515 0.9% 17.35%
J/9 suited 32.8% 3.81 0.2491 0.3% 17.65%
A/9 unsuited 32.79% 3.79 0.2419 0.9% 18.55%
A/4 suited 33.09% 3.74 0.2389 0.3% 18.85%
T/9 suited 32.55% 3.8 0.2383 0.3% 19.16%
K/8 suited 32.51% 3.79 0.2319 0.3% 19.46%
J/T unsuited 32.24% 3.81 0.2276 0.9% 20.36%
A/3 suited 32.31% 3.74 0.2095 0.3% 20.66%
K/7 suited 31.77% 3.77 0.1972 0.3% 20.97%
A/8 unsuited 31.83% 3.76 0.1968 0.9% 21.87%
Q/8 suited 31.38% 3.79 0.1888 0.3% 22.17%
K/9 unsuited 31.12% 3.79 0.1793 0.9% 23.08%
A/2 suited 31.44% 3.74 0.177 0.3% 23.38%
J/8 suited 30.76% 3.79 0.1645 0.3% 23.68%
K/6 suited 30.96% 3.75 0.1614 0.3% 23.98%
Pair of 5's 29.47% 3.92 0.1554 0.45% 24.43%
T/8 suited 30.53% 3.78 0.1549 0.3% 24.74%
A/7 unsuited 30.8% 3.73 0.1502 0.9% 25.64%
9/8 suited 30.06% 3.78 0.1377 0.3% 25.94%
Q/9 unsuited 30.04% 3.78 0.1366 0.9% 26.85%
K/5 suited 30.26% 3.74 0.1305 0.3% 27.15%
A/5 unsuited 30.25% 3.7 0.1203 0.9% 28.05%
J/9 unsuited 29.46% 3.78 0.1134 0.9% 28.96%
Q/7 suited 29.47% 3.76 0.1084 0.3% 29.26%
T/9 unsuited 29.28% 3.78 0.1053 0.9% 30.17%
A/6 unsuited 29.66% 3.71 0.1016 0.9% 31.07%
K/4 suited 29.49% 3.73 0.1011 0.3% 31.37%
A/4 unsuited 29.36% 3.7 0.086 0.9% 32.28%
K/8 unsuited 28.93% 3.75 0.0857 0.9% 33.18%
J/7 suited 28.81% 3.76 0.0838 0.3% 33.48%
Q/6 suited 28.87% 3.74 0.0806 0.3% 33.79%
T/7 suited 28.59% 3.76 0.0752 0.3% 34.09%
K/3 suited 28.77% 3.73 0.0742 0.3% 34.39%
9/7 suited 28.31% 3.76 0.0656 0.3% 34.69%
8/7 suited 28.28% 3.77 0.0649 0.3% 34.99%
A/3 unsuited 28.49% 3.7 0.053 0.9% 35.9%
Pair of 4's 26.88% 3.91 0.052 0.45% 36.35%
Q/5 suited 28.17% 3.73 0.0502 0.3% 36.65%
K/7 unsuited 28.14% 3.73 0.0484 0.9% 37.56%
K/2 suited 28.05% 3.73 0.0477 0.3% 37.86%
Q/8 unsuited 27.83% 3.75 0.0441 0.9% 38.76%
J/8 unsuited 27.26% 3.75 0.0222 0.9% 39.67%
Q/4 suited 27.43% 3.73 0.0221 0.3% 39.97%
A/2 unsuited 27.56% 3.69 0.0181 0.9% 40.87%
T/8 unsuited 27.1% 3.75 0.0152 0.9% 41.78%
J/6 suited 27.02% 3.74 0.0094 0.3% 42.08%
K/6 unsuited 27.25% 3.7 0.0093 0.9% 42.99%
7/6 suited 26.74% 3.75 0.0029 0.3% 43.29%
T/6 suited 26.76% 3.74 -0.0001 0.3% 43.59%
9/8 unsuited 26.66% 3.75 -0.0002 0.9% 44.49%
8/6 suited 26.62% 3.75 -0.0026 0.3% 44.8%
Q/3 suited 26.73% 3.73 -0.0038 0.3% 45.1%
9/6 suited 26.52% 3.74 -0.0074 0.3% 45.4%
J/5 suited 26.52% 3.72 -0.0139 0.3% 45.7%
K/5 unsuited 26.47% 3.68 -0.0247 0.9% 46.61%
Q/2 suited 26.01% 3.73 -0.0302 0.3% 46.91%
Pair of 3's 24.56% 3.91 -0.0408 0.45% 47.36%
J/4 suited 25.79% 3.72 -0.0414 0.3% 47.66%
Q/7 unsuited 25.76% 3.72 -0.0429 0.9% 48.57%
6/5 suited 25.36% 3.74 -0.052 0.3% 48.87%
K/4 unsuited 25.65% 3.68 -0.0562 0.9% 49.77%
7/5 suited 25.13% 3.73 -0.0622 0.3% 50.08%
J/7 unsuited 25.18% 3.72 -0.0643 0.9% 50.98%
J/3 suited 25.09% 3.72 -0.0671 0.3% 51.28%
T/5 suited 25.07% 3.71 -0.0697 0.3% 51.58%
T/7 unsuited 25.03% 3.72 -0.0701 0.9% 52.49%
8/5 suited 24.89% 3.73 -0.0727 0.3% 52.79%
Q/6 unsuited 25.11% 3.69 -0.0733 0.9% 53.7%
8/7 unsuited 24.77% 3.72 -0.0773 0.9% 54.6%
9/5 suited 24.77% 3.72 -0.0786 0.3% 54.9%
9/7 unsuited 24.76% 3.72 -0.0786 0.9% 55.81%
K/3 unsuited 24.84% 3.68 -0.0867 0.9% 56.71%
T/4 suited 24.54% 3.71 -0.0903 0.3% 57.01%
J/2 suited 24.41% 3.72 -0.0918 0.3% 57.32%
5/4 suited 24.33% 3.73 -0.0927 0.3% 57.62%
Q/5 unsuited 24.35% 3.67 -0.1063 0.9% 58.52%
6/4 suited 23.74% 3.73 -0.1148 0.3% 58.82%
K/2 unsuited 24.05% 3.68 -0.1159 0.9% 59.73%
T/3 suited 23.82% 3.71 -0.1164 0.3% 60.03%
Pair of 2's 22.51% 3.9 -0.1227 0.45% 60.48%
7/4 suited 23.39% 3.72 -0.1296 0.3% 60.78%
Q/4 unsuited 23.54% 3.67 -0.1372 0.9% 61.69%
T/2 suited 23.15% 3.71 -0.1408 0.3% 61.99%
8/4 suited 23.13% 3.71 -0.1413 0.3% 62.29%
7/6 unsuited 23.12% 3.7 -0.1438 0.9% 63.2%
J/6 unsuited 23.22% 3.68 -0.1458 0.9% 64.1%
9/4 suited 23.05% 3.71 -0.1459 0.3% 64.4%
8/6 unsuited 22.96% 3.7 -0.1512 0.9% 65.31%
T/6 unsuited 23.03% 3.68 -0.152 0.9% 66.21%
5/3 suited 22.72% 3.72 -0.1543 0.3% 66.52%
9/6 unsuited 22.82% 3.69 -0.1578 0.9% 67.42%
9/3 suited 22.55% 3.7 -0.1647 0.3% 67.72%
Q/3 unsuited 22.75% 3.66 -0.1662 0.9% 68.63%
J/5 unsuited 22.67% 3.66 -0.1709 0.9% 69.53%
6/3 suited 22% 3.72 -0.1815 0.3% 69.83%
4/3 suited 21.9% 3.72 -0.1843 0.3% 70.14%
9/2 suited 21.89% 3.71 -0.1884 0.3% 70.44%
Q/2 unsuited 21.99% 3.66 -0.1943 0.9% 71.34%
7/3 suited 21.64% 3.71 -0.1972 0.3% 71.64%
J/4 unsuited 21.89% 3.65 -0.2008 0.9% 72.55%
6/5 unsuited 21.67% 3.68 -0.202 0.9% 73.45%
8/3 suited 21.41% 3.7 -0.2078 0.3% 73.76%
7/5 unsuited 21.4% 3.67 -0.2138 0.9% 74.66%
5/2 suited 21.03% 3.71 -0.2191 0.3% 74.96%
8/2 suited 20.94% 3.7 -0.2252 0.3% 75.26%
8/5 unsuited 21.11% 3.66 -0.2266 0.9% 76.17%
T/5 unsuited 21.19% 3.64 -0.228 0.9% 77.07%
J/3 unsuited 21.11% 3.65 -0.2293 0.9% 77.98%
9/5 unsuited 20.93% 3.65 -0.2351 0.9% 78.88%
4/2 suited 20.32% 3.72 -0.2444 0.3% 79.19%
5/4 unsuited 20.58% 3.67 -0.245 0.9% 80.09%
6/2 suited 20.28% 3.71 -0.2475 0.3% 80.39%
T/4 unsuited 20.61% 3.64 -0.2509 0.9% 81.3%
J/2 unsuited 20.35% 3.65 -0.2574 0.9% 82.2%
7/2 suited 19.97% 3.7 -0.2615 0.3% 82.5%
6/4 unsuited 19.93% 3.67 -0.2695 0.9% 83.41%
3/2 suited 19.52% 3.72 -0.2737 0.3% 83.71%
T/3 unsuited 19.84% 3.63 -0.2791 0.9% 84.62%
7/4 unsuited 19.51% 3.65 -0.2874 0.9% 85.52%
8/4 unsuited 19.2% 3.64 -0.3011 0.9% 86.43%
T/2 unsuited 19.09% 3.63 -0.3065 0.9% 87.33%
9/4 unsuited 19.07% 3.63 -0.3081 0.9% 88.24%
5/3 unsuited 18.86% 3.65 -0.3114 0.9% 89.14%
9/3 unsuited 18.51% 3.62 -0.3291 0.9% 90.05%
6/3 unsuited 18.06% 3.65 -0.3415 0.9% 90.95%
4/3 unsuited 17.96% 3.65 -0.3438 0.9% 91.86%
9/2 unsuited 17.78% 3.62 -0.356 0.9% 92.76%
7/3 unsuited 17.62% 3.63 -0.3604 0.9% 93.67%
8/3 unsuited 17.36% 3.61 -0.3726 0.9% 94.57%
5/2 unsuited 17.01% 3.63 -0.3823 0.9% 95.48%
8/2 unsuited 16.83% 3.61 -0.3926 0.9% 96.38%
4/2 unsuited 16.26% 3.63 -0.4092 0.9% 97.29%
6/2 unsuited 16.2% 3.62 -0.4135 0.9% 98.19%
7/2 unsuited 15.83% 3.6 -0.43 0.9% 99.1%
3/2 unsuited 15.39% 3.63 -0.4412 0.9% 100%
Total   3.75 0 100%  

 

Methodology

This table is the result of a random simulation of 38,594,556,000 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 4-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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Written by: Michael Shackleford