Introduction
Poker Odds - Calculating Hand Odds In Texas Hold'em Poker & Charts. Learning how to properly count your outs and calculate poker odds is a fundamental requirement of Texas Hold'em. While the math used to calculate odds might sound scary and over the head of a new player, it really isn't as hard as it looks. Below is a table of Texas Hold'em starting hands, ordered by their Expected Value (EV) in a 5 player Hold'em game. These statistics were produced by using millions of hand histories to compute the following results. In Texas Hold'em, pocket jacks are known as big danger hand. It provides a player below the chance they require to get a survival with the probability of a top card resulting to a flop about 53%.
The following table ranks the top hands in a 3-player game. This table assumes that all players stay in until the end.
Texas Holdem Poker Hand Odds Chart
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 3 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 contibuted $1 to the pot then the player could expect to have a net win of $1.20.
- Probability: Probability of getting this hand to begin with.
- Additive probability: Probability of getting this hand or any stronger hand to begin with.
Texas Holdem Poker Hand Statistics Against
Initial Hold'em Hands in Rank Order for 3-Player Game
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| Cards | Probability of Win | Average Win | Expected Value | Probability | Additive Probability |
| Pair of A's | 73.78% | 2.99 | 1.2034 | 0.45% | 0.45% |
| Pair of K's | 69.21% | 2.99 | 1.066 | 0.45% | 0.9% |
| Pair of Q's | 65.29% | 2.98 | 0.9475 | 0.45% | 1.36% |
| Pair of J's | 61.57% | 2.98 | 0.835 | 0.45% | 1.81% |
| Pair of T's | 58.02% | 2.98 | 0.7272 | 0.45% | 2.26% |
| Pair of 9's | 54.08% | 2.97 | 0.6084 | 0.45% | 2.71% |
| A/K suited | 51.77% | 2.94 | 0.5221 | 0.3% | 3.02% |
| Pair of 8's | 50.46% | 2.97 | 0.4986 | 0.45% | 3.47% |
| A/Q suited | 50.56% | 2.93 | 0.4824 | 0.3% | 3.77% |
| A/K unsuited | 49.28% | 2.93 | 0.4462 | 0.9% | 4.68% |
| A/J suited | 49.49% | 2.92 | 0.4461 | 0.3% | 4.98% |
| K/Q suited | 48.28% | 2.93 | 0.4128 | 0.3% | 5.28% |
| A/T suited | 48.5% | 2.91 | 0.4121 | 0.3% | 5.58% |
| A/Q unsuited | 48.01% | 2.93 | 0.4045 | 0.9% | 6.49% |
| Pair of 7's | 47.02% | 2.97 | 0.3945 | 0.45% | 6.94% |
| K/J suited | 47.22% | 2.92 | 0.3772 | 0.3% | 7.24% |
| A/J unsuited | 46.84% | 2.91 | 0.3652 | 0.9% | 8.14% |
| K/T suited | 46.24% | 2.91 | 0.3436 | 0.3% | 8.45% |
| A/9 suited | 46.16% | 2.9 | 0.3366 | 0.3% | 8.75% |
| K/Q unsuited | 45.61% | 2.92 | 0.3318 | 0.9% | 9.65% |
| A/T unsuited | 45.79% | 2.9 | 0.3289 | 0.9% | 10.56% |
| Q/J suited | 45.55% | 2.91 | 0.3256 | 0.3% | 10.86% |
| A/8 suited | 45.31% | 2.88 | 0.3058 | 0.3% | 11.16% |
| Pair of 6's | 43.77% | 2.96 | 0.2958 | 0.45% | 11.61% |
| Q/T suited | 44.59% | 2.9 | 0.2932 | 0.3% | 11.92% |
| K/J unsuited | 44.46% | 2.91 | 0.293 | 0.9% | 12.82% |
| A/7 suited | 44.32% | 2.87 | 0.2719 | 0.3% | 13.12% |
| K/9 suited | 43.88% | 2.89 | 0.2689 | 0.3% | 13.42% |
| J/T suited | 43.44% | 2.9 | 0.2582 | 0.3% | 13.73% |
| K/T unsuited | 43.42% | 2.9 | 0.2576 | 0.9% | 14.63% |
| A/9 unsuited | 43.25% | 2.88 | 0.2473 | 0.9% | 15.54% |
| A/5 suited | 43.59% | 2.85 | 0.2431 | 0.3% | 15.84% |
| Q/J unsuited | 42.76% | 2.9 | 0.2406 | 0.9% | 16.74% |
| A/6 suited | 43.19% | 2.86 | 0.2348 | 0.3% | 17.04% |
| Q/9 suited | 42.25% | 2.89 | 0.2193 | 0.3% | 17.35% |
| A/4 suited | 42.7% | 2.85 | 0.2161 | 0.3% | 17.65% |
| A/8 unsuited | 42.31% | 2.87 | 0.2136 | 0.9% | 18.55% |
| Q/T unsuited | 41.73% | 2.89 | 0.206 | 0.9% | 19.46% |
| K/8 suited | 41.91% | 2.88 | 0.2048 | 0.3% | 19.76% |
| Pair of 5's | 40.7% | 2.95 | 0.2017 | 0.45% | 20.21% |
| A/3 suited | 41.8% | 2.85 | 0.1901 | 0.3% | 20.51% |
| J/9 suited | 41.11% | 2.88 | 0.1844 | 0.3% | 20.81% |
| K/7 suited | 41.19% | 2.86 | 0.1786 | 0.3% | 21.12% |
| A/7 unsuited | 41.25% | 2.85 | 0.177 | 0.9% | 22.02% |
| K/9 unsuited | 40.88% | 2.88 | 0.1769 | 0.9% | 22.93% |
| J/T unsuited | 40.58% | 2.89 | 0.171 | 0.9% | 23.83% |
| A/2 suited | 40.86% | 2.85 | 0.163 | 0.3% | 24.13% |
| T/9 suited | 40.38% | 2.88 | 0.1617 | 0.3% | 24.43% |
| Q/8 suited | 40.28% | 2.87 | 0.1564 | 0.3% | 24.74% |
| K/6 suited | 40.29% | 2.85 | 0.1483 | 0.3% | 25.04% |
| A/5 unsuited | 40.46% | 2.83 | 0.1458 | 0.9% | 25.94% |
| A/6 unsuited | 40.04% | 2.84 | 0.1374 | 0.9% | 26.85% |
| Q/9 unsuited | 39.2% | 2.87 | 0.1262 | 0.9% | 27.75% |
| K/5 suited | 39.51% | 2.84 | 0.122 | 0.3% | 28.05% |
| J/8 suited | 39.14% | 2.87 | 0.1219 | 0.3% | 28.36% |
| A/4 unsuited | 39.45% | 2.83 | 0.1155 | 0.9% | 29.26% |
| K/8 unsuited | 38.75% | 2.86 | 0.1079 | 0.9% | 30.17% |
| Pair of 4's | 37.42% | 2.95 | 0.1026 | 0.45% | 30.62% |
| T/8 suited | 38.46% | 2.86 | 0.1004 | 0.3% | 30.92% |
| K/4 suited | 38.63% | 2.84 | 0.0956 | 0.3% | 31.22% |
| Q/7 suited | 38.33% | 2.85 | 0.0937 | 0.3% | 31.52% |
| J/9 unsuited | 38.05% | 2.87 | 0.0908 | 0.9% | 32.43% |
| A/3 unsuited | 38.5% | 2.83 | 0.0879 | 0.9% | 33.33% |
| K/7 unsuited | 37.96% | 2.84 | 0.0792 | 0.9% | 34.24% |
| 9/8 suited | 37.74% | 2.86 | 0.079 | 0.3% | 34.54% |
| Q/6 suited | 37.7% | 2.84 | 0.0712 | 0.3% | 34.84% |
| K/3 suited | 37.78% | 2.84 | 0.0712 | 0.3% | 35.14% |
| T/9 unsuited | 37.36% | 2.86 | 0.0692 | 0.9% | 36.05% |
| J/7 suited | 37.21% | 2.85 | 0.0605 | 0.3% | 36.35% |
| Q/8 unsuited | 37.09% | 2.85 | 0.0585 | 0.9% | 37.25% |
| A/2 unsuited | 37.47% | 2.82 | 0.0579 | 0.9% | 38.16% |
| K/6 unsuited | 37% | 2.83 | 0.0469 | 0.9% | 39.06% |
| K/2 suited | 36.91% | 2.83 | 0.0464 | 0.3% | 39.37% |
| Q/5 suited | 36.93% | 2.83 | 0.0455 | 0.3% | 39.67% |
| T/7 suited | 36.51% | 2.85 | 0.0394 | 0.3% | 39.97% |
| J/8 unsuited | 35.94% | 2.85 | 0.0237 | 0.9% | 40.87% |
| 9/7 suited | 35.95% | 2.84 | 0.0223 | 0.3% | 41.18% |
| Q/4 suited | 36.08% | 2.83 | 0.0203 | 0.3% | 41.48% |
| K/5 unsuited | 36.15% | 2.82 | 0.0183 | 0.9% | 42.38% |
| 8/7 suited | 35.65% | 2.84 | 0.0134 | 0.3% | 42.68% |
| Pair of 3's | 34.33% | 2.94 | 0.0087 | 0.45% | 43.14% |
| T/8 unsuited | 35.26% | 2.84 | 0.0026 | 0.9% | 44.04% |
| J/6 suited | 35.33% | 2.83 | 0.0009 | 0.3% | 44.34% |
| Q/3 suited | 35.22% | 2.83 | -0.0042 | 0.3% | 44.65% |
| Q/7 unsuited | 35.01% | 2.83 | -0.0082 | 0.9% | 45.55% |
| K/4 unsuited | 35.19% | 2.81 | -0.0104 | 0.9% | 46.46% |
| J/5 suited | 34.79% | 2.82 | -0.0182 | 0.3% | 46.76% |
| 9/8 unsuited | 34.55% | 2.84 | -0.0185 | 0.9% | 47.66% |
| T/6 suited | 34.64% | 2.83 | -0.0194 | 0.3% | 47.96% |
| Q/2 suited | 34.4% | 2.83 | -0.0279 | 0.3% | 48.27% |
| Q/6 unsuited | 34.33% | 2.82 | -0.0326 | 0.9% | 49.17% |
| 9/6 suited | 34.08% | 2.83 | -0.0357 | 0.3% | 49.47% |
| K/3 unsuited | 34.26% | 2.81 | -0.0374 | 0.9% | 50.38% |
| 8/6 suited | 33.88% | 2.83 | -0.0416 | 0.3% | 50.68% |
| J/7 unsuited | 33.86% | 2.83 | -0.0422 | 0.9% | 51.58% |
| 7/6 suited | 33.85% | 2.83 | -0.0424 | 0.3% | 51.89% |
| J/4 suited | 33.95% | 2.82 | -0.043 | 0.3% | 52.19% |
| Q/5 unsuited | 33.48% | 2.81 | -0.0607 | 0.9% | 53.09% |
| T/7 unsuited | 33.19% | 2.82 | -0.0626 | 0.9% | 54% |
| K/2 unsuited | 33.34% | 2.81 | -0.0642 | 0.9% | 54.9% |
| J/3 suited | 33.14% | 2.82 | -0.0659 | 0.3% | 55.2% |
| T/5 suited | 32.81% | 2.81 | -0.0768 | 0.3% | 55.51% |
| 9/7 unsuited | 32.6% | 2.82 | -0.0799 | 0.9% | 56.41% |
| Pair of 2's | 31.4% | 2.93 | -0.0804 | 0.45% | 56.86% |
| 8/7 unsuited | 32.33% | 2.82 | -0.0881 | 0.9% | 57.77% |
| Q/4 unsuited | 32.55% | 2.8 | -0.0886 | 0.9% | 58.67% |
| J/2 suited | 32.33% | 2.82 | -0.0891 | 0.3% | 58.97% |
| 6/5 suited | 32.21% | 2.82 | -0.0923 | 0.3% | 59.28% |
| 9/5 suited | 32.24% | 2.81 | -0.0927 | 0.3% | 59.58% |
| T/4 suited | 32.22% | 2.81 | -0.0945 | 0.3% | 59.88% |
| 7/5 suited | 32.1% | 2.82 | -0.0962 | 0.3% | 60.18% |
| 8/5 suited | 32.06% | 2.81 | -0.0979 | 0.3% | 60.48% |
| J/6 unsuited | 31.85% | 2.81 | -0.106 | 0.9% | 61.39% |
| Q/3 unsuited | 31.63% | 2.8 | -0.115 | 0.9% | 62.29% |
| T/3 suited | 31.42% | 2.81 | -0.1172 | 0.3% | 62.59% |
| T/6 unsuited | 31.16% | 2.8 | -0.1262 | 0.9% | 63.5% |
| J/5 unsuited | 31.26% | 2.79 | -0.1268 | 0.9% | 64.4% |
| 5/4 suited | 30.98% | 2.81 | -0.1295 | 0.3% | 64.71% |
| T/2 suited | 30.6% | 2.81 | -0.1405 | 0.3% | 65.01% |
| Q/2 unsuited | 30.72% | 2.8 | -0.1413 | 0.9% | 65.91% |
| 9/6 unsuited | 30.61% | 2.8 | -0.1421 | 0.9% | 66.82% |
| 6/4 suited | 30.42% | 2.81 | -0.1453 | 0.3% | 67.12% |
| 8/6 unsuited | 30.43% | 2.8 | -0.1473 | 0.9% | 68.02% |
| 7/6 unsuited | 30.41% | 2.8 | -0.1477 | 0.9% | 68.93% |
| 9/4 suited | 30.35% | 2.8 | -0.1492 | 0.3% | 69.23% |
| 7/4 suited | 30.21% | 2.81 | -0.1522 | 0.3% | 69.53% |
| J/4 unsuited | 30.35% | 2.79 | -0.1538 | 0.9% | 70.44% |
| 8/4 suited | 30.16% | 2.8 | -0.1542 | 0.3% | 70.74% |
| 9/3 suited | 29.78% | 2.8 | -0.1654 | 0.3% | 71.04% |
| J/3 unsuited | 29.44% | 2.79 | -0.1798 | 0.9% | 71.95% |
| 5/3 suited | 29.18% | 2.8 | -0.1821 | 0.3% | 72.25% |
| T/5 unsuited | 29.21% | 2.78 | -0.1872 | 0.9% | 73.15% |
| 9/2 suited | 28.98% | 2.8 | -0.1883 | 0.3% | 73.45% |
| 6/5 unsuited | 28.7% | 2.79 | -0.1998 | 0.9% | 74.36% |
| 6/3 suited | 28.55% | 2.8 | -0.2002 | 0.3% | 74.66% |
| 9/5 unsuited | 28.63% | 2.78 | -0.2035 | 0.9% | 75.57% |
| J/2 unsuited | 28.56% | 2.78 | -0.2052 | 0.9% | 76.47% |
| 7/5 unsuited | 28.54% | 2.78 | -0.2053 | 0.9% | 77.38% |
| T/4 unsuited | 28.55% | 2.78 | -0.2072 | 0.9% | 78.28% |
| 4/3 suited | 28.28% | 2.8 | -0.2074 | 0.3% | 78.58% |
| 8/5 unsuited | 28.47% | 2.78 | -0.2078 | 0.9% | 79.49% |
| 7/3 suited | 28.3% | 2.8 | -0.2082 | 0.3% | 79.79% |
| 8/3 suited | 28.28% | 2.8 | -0.2093 | 0.3% | 80.09% |
| 8/2 suited | 27.73% | 2.79 | -0.2253 | 0.3% | 80.39% |
| T/3 unsuited | 27.68% | 2.77 | -0.2324 | 0.9% | 81.3% |
| 5/2 suited | 27.3% | 2.79 | -0.2371 | 0.3% | 81.6% |
| 5/4 unsuited | 27.37% | 2.78 | -0.2401 | 0.9% | 82.5% |
| 6/2 suited | 26.65% | 2.79 | -0.2559 | 0.3% | 82.81% |
| 6/4 unsuited | 26.76% | 2.77 | -0.2576 | 0.9% | 83.71% |
| T/2 unsuited | 26.79% | 2.77 | -0.2578 | 0.9% | 84.62% |
| 4/2 suited | 26.49% | 2.79 | -0.2599 | 0.3% | 84.92% |
| 7/2 suited | 26.44% | 2.79 | -0.2628 | 0.3% | 85.22% |
| 9/4 unsuited | 26.59% | 2.77 | -0.2644 | 0.9% | 86.12% |
| 7/4 unsuited | 26.51% | 2.77 | -0.2657 | 0.9% | 87.03% |
| 8/4 unsuited | 26.42% | 2.77 | -0.2687 | 0.9% | 87.93% |
| 9/3 unsuited | 25.97% | 2.76 | -0.2825 | 0.9% | 88.84% |
| 3/2 suited | 25.61% | 2.79 | -0.285 | 0.3% | 89.14% |
| 5/3 unsuited | 25.46% | 2.76 | -0.2961 | 0.9% | 90.05% |
| 9/2 unsuited | 25.1% | 2.76 | -0.3073 | 0.9% | 90.95% |
| 6/3 unsuited | 24.74% | 2.76 | -0.3168 | 0.9% | 91.86% |
| 4/3 unsuited | 24.49% | 2.76 | -0.3238 | 0.9% | 92.76% |
| 7/3 unsuited | 24.47% | 2.76 | -0.3256 | 0.9% | 93.67% |
| 8/3 unsuited | 24.4% | 2.75 | -0.3285 | 0.9% | 94.57% |
| 8/2 unsuited | 23.79% | 2.75 | -0.3462 | 0.9% | 95.48% |
| 5/2 unsuited | 23.43% | 2.75 | -0.3558 | 0.9% | 96.38% |
| 6/2 unsuited | 22.69% | 2.75 | -0.3769 | 0.9% | 97.29% |
| 4/2 unsuited | 22.56% | 2.75 | -0.3801 | 0.9% | 98.19% |
| 7/2 unsuited | 22.44% | 2.74 | -0.3854 | 0.9% | 99.1% |
| 3/2 unsuited | 21.61% | 2.74 | -0.4072 | 0.9% | 100% |
| Total | 2.84 | 100% |
Methodology:
This table is the result of a random simulation of 68,612,544,000 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 3-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.
Inside Links
Written by: Michael Shackleford
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 contibuted $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.
Texas Holdem Poker Hand Statistics Scoring
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.
Texas Holdem Poker Hand Odds Calculator
- 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 3 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 contibuted $1 to the pot then the player could expect to have a net win of $1.20.
- Probability: Probability of getting this hand to begin with.
- Additive probability: Probability of getting this hand or any stronger hand to begin with.
Texas Holdem Poker Hand Statistics Against
Initial Hold'em Hands in Rank Order for 3-Player Game
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| Cards | Probability of Win | Average Win | Expected Value | Probability | Additive Probability |
| Pair of A's | 73.78% | 2.99 | 1.2034 | 0.45% | 0.45% |
| Pair of K's | 69.21% | 2.99 | 1.066 | 0.45% | 0.9% |
| Pair of Q's | 65.29% | 2.98 | 0.9475 | 0.45% | 1.36% |
| Pair of J's | 61.57% | 2.98 | 0.835 | 0.45% | 1.81% |
| Pair of T's | 58.02% | 2.98 | 0.7272 | 0.45% | 2.26% |
| Pair of 9's | 54.08% | 2.97 | 0.6084 | 0.45% | 2.71% |
| A/K suited | 51.77% | 2.94 | 0.5221 | 0.3% | 3.02% |
| Pair of 8's | 50.46% | 2.97 | 0.4986 | 0.45% | 3.47% |
| A/Q suited | 50.56% | 2.93 | 0.4824 | 0.3% | 3.77% |
| A/K unsuited | 49.28% | 2.93 | 0.4462 | 0.9% | 4.68% |
| A/J suited | 49.49% | 2.92 | 0.4461 | 0.3% | 4.98% |
| K/Q suited | 48.28% | 2.93 | 0.4128 | 0.3% | 5.28% |
| A/T suited | 48.5% | 2.91 | 0.4121 | 0.3% | 5.58% |
| A/Q unsuited | 48.01% | 2.93 | 0.4045 | 0.9% | 6.49% |
| Pair of 7's | 47.02% | 2.97 | 0.3945 | 0.45% | 6.94% |
| K/J suited | 47.22% | 2.92 | 0.3772 | 0.3% | 7.24% |
| A/J unsuited | 46.84% | 2.91 | 0.3652 | 0.9% | 8.14% |
| K/T suited | 46.24% | 2.91 | 0.3436 | 0.3% | 8.45% |
| A/9 suited | 46.16% | 2.9 | 0.3366 | 0.3% | 8.75% |
| K/Q unsuited | 45.61% | 2.92 | 0.3318 | 0.9% | 9.65% |
| A/T unsuited | 45.79% | 2.9 | 0.3289 | 0.9% | 10.56% |
| Q/J suited | 45.55% | 2.91 | 0.3256 | 0.3% | 10.86% |
| A/8 suited | 45.31% | 2.88 | 0.3058 | 0.3% | 11.16% |
| Pair of 6's | 43.77% | 2.96 | 0.2958 | 0.45% | 11.61% |
| Q/T suited | 44.59% | 2.9 | 0.2932 | 0.3% | 11.92% |
| K/J unsuited | 44.46% | 2.91 | 0.293 | 0.9% | 12.82% |
| A/7 suited | 44.32% | 2.87 | 0.2719 | 0.3% | 13.12% |
| K/9 suited | 43.88% | 2.89 | 0.2689 | 0.3% | 13.42% |
| J/T suited | 43.44% | 2.9 | 0.2582 | 0.3% | 13.73% |
| K/T unsuited | 43.42% | 2.9 | 0.2576 | 0.9% | 14.63% |
| A/9 unsuited | 43.25% | 2.88 | 0.2473 | 0.9% | 15.54% |
| A/5 suited | 43.59% | 2.85 | 0.2431 | 0.3% | 15.84% |
| Q/J unsuited | 42.76% | 2.9 | 0.2406 | 0.9% | 16.74% |
| A/6 suited | 43.19% | 2.86 | 0.2348 | 0.3% | 17.04% |
| Q/9 suited | 42.25% | 2.89 | 0.2193 | 0.3% | 17.35% |
| A/4 suited | 42.7% | 2.85 | 0.2161 | 0.3% | 17.65% |
| A/8 unsuited | 42.31% | 2.87 | 0.2136 | 0.9% | 18.55% |
| Q/T unsuited | 41.73% | 2.89 | 0.206 | 0.9% | 19.46% |
| K/8 suited | 41.91% | 2.88 | 0.2048 | 0.3% | 19.76% |
| Pair of 5's | 40.7% | 2.95 | 0.2017 | 0.45% | 20.21% |
| A/3 suited | 41.8% | 2.85 | 0.1901 | 0.3% | 20.51% |
| J/9 suited | 41.11% | 2.88 | 0.1844 | 0.3% | 20.81% |
| K/7 suited | 41.19% | 2.86 | 0.1786 | 0.3% | 21.12% |
| A/7 unsuited | 41.25% | 2.85 | 0.177 | 0.9% | 22.02% |
| K/9 unsuited | 40.88% | 2.88 | 0.1769 | 0.9% | 22.93% |
| J/T unsuited | 40.58% | 2.89 | 0.171 | 0.9% | 23.83% |
| A/2 suited | 40.86% | 2.85 | 0.163 | 0.3% | 24.13% |
| T/9 suited | 40.38% | 2.88 | 0.1617 | 0.3% | 24.43% |
| Q/8 suited | 40.28% | 2.87 | 0.1564 | 0.3% | 24.74% |
| K/6 suited | 40.29% | 2.85 | 0.1483 | 0.3% | 25.04% |
| A/5 unsuited | 40.46% | 2.83 | 0.1458 | 0.9% | 25.94% |
| A/6 unsuited | 40.04% | 2.84 | 0.1374 | 0.9% | 26.85% |
| Q/9 unsuited | 39.2% | 2.87 | 0.1262 | 0.9% | 27.75% |
| K/5 suited | 39.51% | 2.84 | 0.122 | 0.3% | 28.05% |
| J/8 suited | 39.14% | 2.87 | 0.1219 | 0.3% | 28.36% |
| A/4 unsuited | 39.45% | 2.83 | 0.1155 | 0.9% | 29.26% |
| K/8 unsuited | 38.75% | 2.86 | 0.1079 | 0.9% | 30.17% |
| Pair of 4's | 37.42% | 2.95 | 0.1026 | 0.45% | 30.62% |
| T/8 suited | 38.46% | 2.86 | 0.1004 | 0.3% | 30.92% |
| K/4 suited | 38.63% | 2.84 | 0.0956 | 0.3% | 31.22% |
| Q/7 suited | 38.33% | 2.85 | 0.0937 | 0.3% | 31.52% |
| J/9 unsuited | 38.05% | 2.87 | 0.0908 | 0.9% | 32.43% |
| A/3 unsuited | 38.5% | 2.83 | 0.0879 | 0.9% | 33.33% |
| K/7 unsuited | 37.96% | 2.84 | 0.0792 | 0.9% | 34.24% |
| 9/8 suited | 37.74% | 2.86 | 0.079 | 0.3% | 34.54% |
| Q/6 suited | 37.7% | 2.84 | 0.0712 | 0.3% | 34.84% |
| K/3 suited | 37.78% | 2.84 | 0.0712 | 0.3% | 35.14% |
| T/9 unsuited | 37.36% | 2.86 | 0.0692 | 0.9% | 36.05% |
| J/7 suited | 37.21% | 2.85 | 0.0605 | 0.3% | 36.35% |
| Q/8 unsuited | 37.09% | 2.85 | 0.0585 | 0.9% | 37.25% |
| A/2 unsuited | 37.47% | 2.82 | 0.0579 | 0.9% | 38.16% |
| K/6 unsuited | 37% | 2.83 | 0.0469 | 0.9% | 39.06% |
| K/2 suited | 36.91% | 2.83 | 0.0464 | 0.3% | 39.37% |
| Q/5 suited | 36.93% | 2.83 | 0.0455 | 0.3% | 39.67% |
| T/7 suited | 36.51% | 2.85 | 0.0394 | 0.3% | 39.97% |
| J/8 unsuited | 35.94% | 2.85 | 0.0237 | 0.9% | 40.87% |
| 9/7 suited | 35.95% | 2.84 | 0.0223 | 0.3% | 41.18% |
| Q/4 suited | 36.08% | 2.83 | 0.0203 | 0.3% | 41.48% |
| K/5 unsuited | 36.15% | 2.82 | 0.0183 | 0.9% | 42.38% |
| 8/7 suited | 35.65% | 2.84 | 0.0134 | 0.3% | 42.68% |
| Pair of 3's | 34.33% | 2.94 | 0.0087 | 0.45% | 43.14% |
| T/8 unsuited | 35.26% | 2.84 | 0.0026 | 0.9% | 44.04% |
| J/6 suited | 35.33% | 2.83 | 0.0009 | 0.3% | 44.34% |
| Q/3 suited | 35.22% | 2.83 | -0.0042 | 0.3% | 44.65% |
| Q/7 unsuited | 35.01% | 2.83 | -0.0082 | 0.9% | 45.55% |
| K/4 unsuited | 35.19% | 2.81 | -0.0104 | 0.9% | 46.46% |
| J/5 suited | 34.79% | 2.82 | -0.0182 | 0.3% | 46.76% |
| 9/8 unsuited | 34.55% | 2.84 | -0.0185 | 0.9% | 47.66% |
| T/6 suited | 34.64% | 2.83 | -0.0194 | 0.3% | 47.96% |
| Q/2 suited | 34.4% | 2.83 | -0.0279 | 0.3% | 48.27% |
| Q/6 unsuited | 34.33% | 2.82 | -0.0326 | 0.9% | 49.17% |
| 9/6 suited | 34.08% | 2.83 | -0.0357 | 0.3% | 49.47% |
| K/3 unsuited | 34.26% | 2.81 | -0.0374 | 0.9% | 50.38% |
| 8/6 suited | 33.88% | 2.83 | -0.0416 | 0.3% | 50.68% |
| J/7 unsuited | 33.86% | 2.83 | -0.0422 | 0.9% | 51.58% |
| 7/6 suited | 33.85% | 2.83 | -0.0424 | 0.3% | 51.89% |
| J/4 suited | 33.95% | 2.82 | -0.043 | 0.3% | 52.19% |
| Q/5 unsuited | 33.48% | 2.81 | -0.0607 | 0.9% | 53.09% |
| T/7 unsuited | 33.19% | 2.82 | -0.0626 | 0.9% | 54% |
| K/2 unsuited | 33.34% | 2.81 | -0.0642 | 0.9% | 54.9% |
| J/3 suited | 33.14% | 2.82 | -0.0659 | 0.3% | 55.2% |
| T/5 suited | 32.81% | 2.81 | -0.0768 | 0.3% | 55.51% |
| 9/7 unsuited | 32.6% | 2.82 | -0.0799 | 0.9% | 56.41% |
| Pair of 2's | 31.4% | 2.93 | -0.0804 | 0.45% | 56.86% |
| 8/7 unsuited | 32.33% | 2.82 | -0.0881 | 0.9% | 57.77% |
| Q/4 unsuited | 32.55% | 2.8 | -0.0886 | 0.9% | 58.67% |
| J/2 suited | 32.33% | 2.82 | -0.0891 | 0.3% | 58.97% |
| 6/5 suited | 32.21% | 2.82 | -0.0923 | 0.3% | 59.28% |
| 9/5 suited | 32.24% | 2.81 | -0.0927 | 0.3% | 59.58% |
| T/4 suited | 32.22% | 2.81 | -0.0945 | 0.3% | 59.88% |
| 7/5 suited | 32.1% | 2.82 | -0.0962 | 0.3% | 60.18% |
| 8/5 suited | 32.06% | 2.81 | -0.0979 | 0.3% | 60.48% |
| J/6 unsuited | 31.85% | 2.81 | -0.106 | 0.9% | 61.39% |
| Q/3 unsuited | 31.63% | 2.8 | -0.115 | 0.9% | 62.29% |
| T/3 suited | 31.42% | 2.81 | -0.1172 | 0.3% | 62.59% |
| T/6 unsuited | 31.16% | 2.8 | -0.1262 | 0.9% | 63.5% |
| J/5 unsuited | 31.26% | 2.79 | -0.1268 | 0.9% | 64.4% |
| 5/4 suited | 30.98% | 2.81 | -0.1295 | 0.3% | 64.71% |
| T/2 suited | 30.6% | 2.81 | -0.1405 | 0.3% | 65.01% |
| Q/2 unsuited | 30.72% | 2.8 | -0.1413 | 0.9% | 65.91% |
| 9/6 unsuited | 30.61% | 2.8 | -0.1421 | 0.9% | 66.82% |
| 6/4 suited | 30.42% | 2.81 | -0.1453 | 0.3% | 67.12% |
| 8/6 unsuited | 30.43% | 2.8 | -0.1473 | 0.9% | 68.02% |
| 7/6 unsuited | 30.41% | 2.8 | -0.1477 | 0.9% | 68.93% |
| 9/4 suited | 30.35% | 2.8 | -0.1492 | 0.3% | 69.23% |
| 7/4 suited | 30.21% | 2.81 | -0.1522 | 0.3% | 69.53% |
| J/4 unsuited | 30.35% | 2.79 | -0.1538 | 0.9% | 70.44% |
| 8/4 suited | 30.16% | 2.8 | -0.1542 | 0.3% | 70.74% |
| 9/3 suited | 29.78% | 2.8 | -0.1654 | 0.3% | 71.04% |
| J/3 unsuited | 29.44% | 2.79 | -0.1798 | 0.9% | 71.95% |
| 5/3 suited | 29.18% | 2.8 | -0.1821 | 0.3% | 72.25% |
| T/5 unsuited | 29.21% | 2.78 | -0.1872 | 0.9% | 73.15% |
| 9/2 suited | 28.98% | 2.8 | -0.1883 | 0.3% | 73.45% |
| 6/5 unsuited | 28.7% | 2.79 | -0.1998 | 0.9% | 74.36% |
| 6/3 suited | 28.55% | 2.8 | -0.2002 | 0.3% | 74.66% |
| 9/5 unsuited | 28.63% | 2.78 | -0.2035 | 0.9% | 75.57% |
| J/2 unsuited | 28.56% | 2.78 | -0.2052 | 0.9% | 76.47% |
| 7/5 unsuited | 28.54% | 2.78 | -0.2053 | 0.9% | 77.38% |
| T/4 unsuited | 28.55% | 2.78 | -0.2072 | 0.9% | 78.28% |
| 4/3 suited | 28.28% | 2.8 | -0.2074 | 0.3% | 78.58% |
| 8/5 unsuited | 28.47% | 2.78 | -0.2078 | 0.9% | 79.49% |
| 7/3 suited | 28.3% | 2.8 | -0.2082 | 0.3% | 79.79% |
| 8/3 suited | 28.28% | 2.8 | -0.2093 | 0.3% | 80.09% |
| 8/2 suited | 27.73% | 2.79 | -0.2253 | 0.3% | 80.39% |
| T/3 unsuited | 27.68% | 2.77 | -0.2324 | 0.9% | 81.3% |
| 5/2 suited | 27.3% | 2.79 | -0.2371 | 0.3% | 81.6% |
| 5/4 unsuited | 27.37% | 2.78 | -0.2401 | 0.9% | 82.5% |
| 6/2 suited | 26.65% | 2.79 | -0.2559 | 0.3% | 82.81% |
| 6/4 unsuited | 26.76% | 2.77 | -0.2576 | 0.9% | 83.71% |
| T/2 unsuited | 26.79% | 2.77 | -0.2578 | 0.9% | 84.62% |
| 4/2 suited | 26.49% | 2.79 | -0.2599 | 0.3% | 84.92% |
| 7/2 suited | 26.44% | 2.79 | -0.2628 | 0.3% | 85.22% |
| 9/4 unsuited | 26.59% | 2.77 | -0.2644 | 0.9% | 86.12% |
| 7/4 unsuited | 26.51% | 2.77 | -0.2657 | 0.9% | 87.03% |
| 8/4 unsuited | 26.42% | 2.77 | -0.2687 | 0.9% | 87.93% |
| 9/3 unsuited | 25.97% | 2.76 | -0.2825 | 0.9% | 88.84% |
| 3/2 suited | 25.61% | 2.79 | -0.285 | 0.3% | 89.14% |
| 5/3 unsuited | 25.46% | 2.76 | -0.2961 | 0.9% | 90.05% |
| 9/2 unsuited | 25.1% | 2.76 | -0.3073 | 0.9% | 90.95% |
| 6/3 unsuited | 24.74% | 2.76 | -0.3168 | 0.9% | 91.86% |
| 4/3 unsuited | 24.49% | 2.76 | -0.3238 | 0.9% | 92.76% |
| 7/3 unsuited | 24.47% | 2.76 | -0.3256 | 0.9% | 93.67% |
| 8/3 unsuited | 24.4% | 2.75 | -0.3285 | 0.9% | 94.57% |
| 8/2 unsuited | 23.79% | 2.75 | -0.3462 | 0.9% | 95.48% |
| 5/2 unsuited | 23.43% | 2.75 | -0.3558 | 0.9% | 96.38% |
| 6/2 unsuited | 22.69% | 2.75 | -0.3769 | 0.9% | 97.29% |
| 4/2 unsuited | 22.56% | 2.75 | -0.3801 | 0.9% | 98.19% |
| 7/2 unsuited | 22.44% | 2.74 | -0.3854 | 0.9% | 99.1% |
| 3/2 unsuited | 21.61% | 2.74 | -0.4072 | 0.9% | 100% |
| Total | 2.84 | 100% |
Methodology:
This table is the result of a random simulation of 68,612,544,000 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 3-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.
Inside Links
Written by: Michael Shackleford
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 contibuted $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.
Texas Holdem Poker Hand Statistics Scoring
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.
Texas Holdem Poker Hand Odds Calculator
Inside Links
Texas Holdem Poker Hand Odds
Written by: Michael Shackleford
