- Poker hands odds & outs: a crash course-guide on poker odds, pot odds, probabilities & odds charts so you can win at Texas Hold’em at the tables or online. One of the most important things that a poker player should know is what their poker odds are in a given situation.
- The Texas Hold’em odds of how likely hands are to unfold after the flop will help guide almost every action you make on the flop Odds On the Flop in Texas Hold’em. The flop is the turning point of a Hold’em hand. This is where you’re going to make your biggest and most expensive decisions.
- The Texas Hold’em odds of how likely hands are to unfold after the flop will help guide almost every action you make on the flop Odds On the Flop in Texas Hold’em. The flop is the turning point of a Hold’em hand. This is where you’re going to make your biggest and most expensive decisions.
Alternatively, the number of possible starting hands is represented as the binomial coefficient. Which is the number of possible combinations of choosing 2 cards from a deck of 52 playing cards. The 1,326 starting hands can be reduced for purposes of determining the probability of starting hands for Hold'em. The poker odds calculators on CardPlayer.com let you run any scenario that you see at the poker table, see your odds and outs, and cover the math of winning and losing poker hands. Texas Hold'em Omaha.
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:
Texas Holdem Starting Hands Odds Calculator
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.
Texas Holdem Odds Chart
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Written by: Michael Shackleford