Texas Holdem Poker Hands Rank
Posted By admin On 03/04/22Poker Hands – Ranking. Every poker player knows that the Royal Flush is the strongest poker hand, but where do all of the other poker winning hands rank? Here is a comprehensive list of poker hands in order from highest to lowest ranking. In Texas Hold’em, for example, each player holds two cards, and there are five community cards when all cards are dealt. Each player can use one, two, or even none of his hole cards in combination with the community cards to form the best possible hand.
Introduction
The following table ranks the top hands in a 3-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 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.
Initial Hold'em Hands in Rank Order for 3-Player Game
| 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.