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Texas Hold Em Poker Odds
- Texas Hold'em Odds and Probabilities does more than just show you how to calculate the odds - more importantly, the focus is on how to apply odds to make better decisions. Hilger's approach shows that you do not need to be a math wiz to be successful in poker.
- Compare pot odds to odds given by bettor. Our equity is 38%, so we need pot odds of less than 38%. The lower the pot odds, the more profitable the call. Our pot odds are 12.5/33 which is 37%, and hence we just about have the pot odds to call.
Texas Hold'em Poker Odds On Hands
Pocket jacks is known as a big danger hand in Texas Hold’em. It may look good, but the chances of a higher card turning up on the flop is 52%, giving your ‘fish-hooks’ less than half a chance of survival. Playing poker is about playing the odds. The following list gives the odds for outcomes in Texas Hold’em hands. When you realize how heavily the odds are stacked against you, you may want to rethink going all-in before the flop with two suited cards. Use the odds to your advantage: 1.
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
Poker Odds Calculator
| 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.