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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:Odds On Poker Hands Texas Holdemem
- 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 contibuted $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
Texas Holdem Odds Chart
- 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.
Online casino gaming economics. The casino industry, are biased and amount to little more than static comparisons or listings of taxes paid and employees hired by the casino industry. The lack of empirical studies on the casino industry is not surprising in the U.S., given the relatively recent expansion of casinos. Even so, there have been few studies on the economic.
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.
Texas Hold Em Statistics
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Written by: Michael Shackleford