Texas Holdem Chance Of Winning
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.
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Introduction
The following table ranks the top hands in a 10-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 10 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 $2.11.
- 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 Practice
Initial Hold'em Hands in Rank Order for 10-Player Game
| Cards | Probability of Win | Average Win | Expected Value | Probability | Additive Probability |
|---|---|---|---|---|---|
| Pair of A's | 31.36% | 9.91 | 2.1071 | 0.45% | 0.45% |
| Pair of K's | 26.43% | 9.87 | 1.6079 | 0.45% | 0.9% |
| Pair of Q's | 22.66% | 9.81 | 1.2224 | 0.45% | 1.36% |
| A/K suited | 21.73% | 9.52 | 1.0688 | 0.3% | 1.66% |
| Pair of J's | 19.84% | 9.74 | 0.9318 | 0.45% | 2.11% |
| A/Q suited | 20.44% | 9.41 | 0.9239 | 0.3% | 2.41% |
| K/Q suited | 19.8% | 9.41 | 0.8639 | 0.3% | 2.71% |
| A/J suited | 19.51% | 9.31 | 0.8159 | 0.3% | 3.02% |
| K/J suited | 18.94% | 9.31 | 0.7636 | 0.3% | 3.32% |
| A/T suited | 18.87% | 9.2 | 0.7353 | 0.3% | 3.62% |
| Q/J suited | 18.55% | 9.28 | 0.7217 | 0.3% | 3.92% |
| A/K unsuited | 18.29% | 9.41 | 0.7209 | 0.9% | 4.83% |
| Pair of T's | 17.76% | 9.65 | 0.7145 | 0.45% | 5.28% |
| K/T suited | 18.34% | 9.21 | 0.689 | 0.3% | 5.58% |
| Q/T suited | 18.04% | 9.19 | 0.6577 | 0.3% | 5.88% |
| J/T suited | 18.07% | 9.16 | 0.6552 | 0.3% | 6.18% |
| Pair of 9's | 16.05% | 9.69 | 0.5559 | 0.45% | 6.64% |
| A/Q unsuited | 16.78% | 9.26 | 0.5539 | 0.9% | 7.54% |
| A/9 suited | 16.87% | 9.12 | 0.5377 | 0.3% | 7.84% |
| K/Q unsuited | 16.3% | 9.26 | 0.5098 | 0.9% | 8.75% |
| K/9 suited | 16.22% | 9.16 | 0.4854 | 0.3% | 9.05% |
| T/9 suited | 16.33% | 9.09 | 0.485 | 0.3% | 9.35% |
| A/8 suited | 16.34% | 9.03 | 0.4756 | 0.3% | 9.65% |
| J/9 suited | 15.96% | 9.12 | 0.4561 | 0.3% | 9.95% |
| Q/9 suited | 15.89% | 9.14 | 0.4527 | 0.3% | 10.26% |
| Pair of 8's | 14.96% | 9.67 | 0.4471 | 0.45% | 10.71% |
| A/5 suited | 16.23% | 8.9 | 0.4447 | 0.3% | 11.01% |
| A/J unsuited | 15.7% | 9.1 | 0.4291 | 0.9% | 11.92% |
| A/7 suited | 15.93% | 8.96 | 0.4272 | 0.3% | 12.22% |
| A/4 suited | 15.88% | 8.94 | 0.4205 | 0.3% | 12.52% |
| A/3 suited | 15.51% | 9 | 0.3957 | 0.3% | 12.82% |
| K/J unsuited | 15.3% | 9.11 | 0.3944 | 0.9% | 13.73% |
| A/6 suited | 15.62% | 8.91 | 0.3916 | 0.3% | 14.03% |
| Q/J unsuited | 15.07% | 9.08 | 0.3687 | 0.9% | 14.93% |
| Pair of 7's | 14.14% | 9.65 | 0.3647 | 0.45% | 15.38% |
| A/2 suited | 15.02% | 9.04 | 0.3579 | 0.3% | 15.69% |
| K/8 suited | 15.03% | 9.03 | 0.3568 | 0.3% | 15.99% |
| T/8 suited | 15.05% | 9 | 0.3556 | 0.3% | 16.29% |
| 9/8 suited | 14.69% | 9.11 | 0.3388 | 0.3% | 16.59% |
| A/T unsuited | 14.93% | 8.94 | 0.3353 | 0.9% | 17.5% |
| J/8 suited | 14.66% | 9.03 | 0.3231 | 0.3% | 17.8% |
| Q/8 suited | 14.61% | 9.04 | 0.3204 | 0.3% | 18.1% |
| K/7 suited | 14.64% | 8.96 | 0.312 | 0.3% | 18.4% |
| K/T unsuited | 14.6% | 8.96 | 0.3086 | 0.9% | 19.31% |
| J/T unsuited | 14.64% | 8.92 | 0.3066 | 0.9% | 20.21% |
| Pair of 6's | 13.51% | 9.64 | 0.3017 | 0.45% | 20.66% |
| Q/T unsuited | 14.45% | 8.94 | 0.2918 | 0.9% | 21.57% |
| K/6 suited | 14.35% | 8.91 | 0.2787 | 0.3% | 21.87% |
| 8/7 suited | 14.03% | 9.08 | 0.2736 | 0.3% | 22.17% |
| K/5 suited | 14.09% | 8.87 | 0.2494 | 0.3% | 22.47% |
| 9/7 suited | 13.81% | 9.04 | 0.2488 | 0.3% | 22.78% |
| Pair of 5's | 12.88% | 9.61 | 0.2379 | 0.45% | 23.23% |
| T/7 suited | 13.82% | 8.91 | 0.2315 | 0.3% | 23.53% |
| K/4 suited | 13.78% | 8.92 | 0.2294 | 0.3% | 23.83% |
| 7/6 suited | 13.54% | 9.06 | 0.2262 | 0.3% | 24.13% |
| Pair of 4's | 12.56% | 9.68 | 0.2155 | 0.45% | 24.59% |
| K/3 suited | 13.49% | 8.99 | 0.212 | 0.3% | 24.89% |
| Q/7 suited | 13.57% | 8.91 | 0.2091 | 0.3% | 25.19% |
| J/7 suited | 13.49% | 8.92 | 0.2026 | 0.3% | 25.49% |
| Pair of 3's | 12.31% | 9.75 | 0.2002 | 0.45% | 25.94% |
| K/2 suited | 13.21% | 9.05 | 0.1955 | 0.3% | 26.24% |
| Pair of 2's | 12.15% | 9.82 | 0.1933 | 0.45% | 26.7% |
| 8/6 suited | 13.2% | 9.01 | 0.1901 | 0.3% | 27% |
| 6/5 suited | 13.14% | 9.04 | 0.1887 | 0.3% | 27.3% |
| Q/6 suited | 13.28% | 8.85 | 0.1754 | 0.3% | 27.6% |
| 5/4 suited | 12.88% | 9.04 | 0.165 | 0.3% | 27.9% |
| Q/5 suited | 13.05% | 8.82 | 0.1509 | 0.3% | 28.21% |
| 7/5 suited | 12.73% | 8.99 | 0.1449 | 0.3% | 28.51% |
| 9/6 suited | 12.74% | 8.95 | 0.1409 | 0.3% | 28.81% |
| T/9 unsuited | 12.87% | 8.8 | 0.1327 | 0.9% | 29.71% |
| Q/4 suited | 12.73% | 8.88 | 0.1301 | 0.3% | 30.02% |
| T/6 suited | 12.72% | 8.79 | 0.1189 | 0.3% | 30.32% |
| A/9 unsuited | 12.74% | 8.77 | 0.118 | 0.9% | 31.22% |
| Q/3 suited | 12.44% | 8.95 | 0.1131 | 0.3% | 31.52% |
| 6/4 suited | 12.22% | 9.06 | 0.1077 | 0.3% | 31.83% |
| J/6 suited | 12.56% | 8.78 | 0.1026 | 0.3% | 32.13% |
| Q/2 suited | 12.17% | 9.02 | 0.0978 | 0.3% | 32.43% |
| J/9 unsuited | 12.36% | 8.81 | 0.0891 | 0.9% | 33.33% |
| 8/5 suited | 12.16% | 8.93 | 0.0856 | 0.3% | 33.63% |
| 5/3 suited | 11.97% | 9.06 | 0.0849 | 0.3% | 33.94% |
| K/9 unsuited | 12.27% | 8.83 | 0.0836 | 0.9% | 34.84% |
| J/5 suited | 12.32% | 8.74 | 0.0763 | 0.3% | 35.14% |
| Q/9 unsuited | 12.11% | 8.82 | 0.0679 | 0.9% | 36.05% |
| J/4 suited | 12.01% | 8.8 | 0.057 | 0.3% | 36.35% |
| A/8 unsuited | 12.16% | 8.63 | 0.0494 | 0.9% | 37.25% |
| 7/4 suited | 11.59% | 8.99 | 0.0421 | 0.3% | 37.56% |
| J/3 suited | 11.74% | 8.88 | 0.042 | 0.3% | 37.86% |
| 4/3 suited | 11.36% | 9.13 | 0.0369 | 0.3% | 38.16% |
| 9/5 suited | 11.7% | 8.85 | 0.0351 | 0.3% | 38.46% |
| J/2 suited | 11.47% | 8.95 | 0.0266 | 0.3% | 38.76% |
| T/5 suited | 11.84% | 8.65 | 0.0243 | 0.3% | 39.06% |
| A/5 unsuited | 12% | 8.45 | 0.0133 | 0.9% | 39.97% |
| 6/3 suited | 11.09% | 9.07 | 0.0056 | 0.3% | 40.27% |
| T/4 suited | 11.53% | 8.71 | 0.0042 | 0.3% | 40.57% |
| A/7 unsuited | 11.71% | 8.51 | -0.0033 | 0.9% | 41.48% |
| T/8 unsuited | 11.48% | 8.63 | -0.0087 | 0.9% | 42.38% |
| T/3 suited | 11.24% | 8.78 | -0.0125 | 0.3% | 42.68% |
| A/4 unsuited | 11.63% | 8.49 | -0.0126 | 0.9% | 43.59% |
| 9/8 unsuited | 11.2% | 8.79 | -0.0158 | 0.9% | 44.49% |
| 8/4 suited | 11.04% | 8.9 | -0.0168 | 0.3% | 44.8% |
| 5/2 suited | 10.83% | 9.07 | -0.0176 | 0.3% | 45.1% |
| T/2 suited | 10.98% | 8.86 | -0.0274 | 0.3% | 45.4% |
| A/3 unsuited | 11.22% | 8.55 | -0.0402 | 0.9% | 46.3% |
| 4/2 suited | 10.47% | 9.16 | -0.041 | 0.3% | 46.61% |
| A/6 unsuited | 11.35% | 8.43 | -0.044 | 0.9% | 47.51% |
| 9/4 suited | 10.73% | 8.8 | -0.0567 | 0.3% | 47.81% |
| J/8 unsuited | 10.94% | 8.63 | -0.0567 | 0.9% | 48.72% |
| K/8 unsuited | 10.97% | 8.6 | -0.0569 | 0.9% | 49.62% |
| 7/3 suited | 10.46% | 8.98 | -0.0603 | 0.3% | 49.92% |
| 9/3 suited | 10.42% | 8.87 | -0.0756 | 0.3% | 50.23% |
| 8/7 unsuited | 10.57% | 8.72 | -0.0777 | 0.9% | 51.13% |
| Q/8 unsuited | 10.7% | 8.62 | -0.0779 | 0.9% | 52.04% |
| A/2 unsuited | 10.7% | 8.6 | -0.0797 | 0.9% | 52.94% |
| 3/2 suited | 9.9% | 9.24 | -0.0848 | 0.3% | 53.24% |
| 9/2 suited | 10.15% | 8.95 | -0.0911 | 0.3% | 53.54% |
| 6/2 suited | 9.96% | 9.06 | -0.0976 | 0.3% | 53.85% |
| K/7 unsuited | 10.54% | 8.48 | -0.1062 | 0.9% | 54.75% |
| 8/3 suited | 10.07% | 8.86 | -0.1076 | 0.3% | 55.05% |
| 9/7 unsuited | 10.24% | 8.65 | -0.1147 | 0.9% | 55.96% |
| 7/6 unsuited | 10.1% | 8.68 | -0.1234 | 0.9% | 56.86% |
| 8/2 suited | 9.78% | 8.94 | -0.1254 | 0.3% | 57.16% |
| T/7 unsuited | 10.17% | 8.43 | -0.1424 | 0.9% | 58.07% |
| K/6 unsuited | 10.19% | 8.38 | -0.1456 | 0.9% | 58.97% |
| 7/2 suited | 9.53% | 8.93 | -0.1484 | 0.3% | 59.28% |
| 6/5 unsuited | 9.73% | 8.65 | -0.1577 | 0.9% | 60.18% |
| 8/6 unsuited | 9.67% | 8.59 | -0.1693 | 0.9% | 61.09% |
| K/5 unsuited | 9.93% | 8.31 | -0.1749 | 0.9% | 61.99% |
| 5/4 unsuited | 9.49% | 8.64 | -0.1795 | 0.9% | 62.9% |
| J/7 unsuited | 9.66% | 8.4 | -0.1879 | 0.9% | 63.8% |
| K/4 unsuited | 9.58% | 8.37 | -0.1984 | 0.9% | 64.71% |
| Q/7 unsuited | 9.57% | 8.36 | -0.1997 | 0.9% | 65.61% |
| 7/5 unsuited | 9.26% | 8.55 | -0.2086 | 0.9% | 66.52% |
| K/3 unsuited | 9.26% | 8.45 | -0.217 | 0.9% | 67.42% |
| 9/6 unsuited | 9.09% | 8.46 | -0.2308 | 0.9% | 68.33% |
| K/2 unsuited | 8.97% | 8.54 | -0.2343 | 0.9% | 69.23% |
| Q/6 unsuited | 9.25% | 8.26 | -0.236 | 0.9% | 70.14% |
| 6/4 unsuited | 8.75% | 8.63 | -0.2446 | 0.9% | 71.04% |
| Q/5 unsuited | 9% | 8.19 | -0.2631 | 0.9% | 71.95% |
| T/6 unsuited | 8.98% | 8.19 | -0.2645 | 0.9% | 72.85% |
| 5/3 unsuited | 8.52% | 8.62 | -0.2651 | 0.9% | 73.76% |
| 8/5 unsuited | 8.6% | 8.4 | -0.2784 | 0.9% | 74.66% |
| Q/4 unsuited | 8.67% | 8.26 | -0.2844 | 0.9% | 75.57% |
| J/6 unsuited | 8.65% | 8.13 | -0.2973 | 0.9% | 76.47% |
| Q/3 unsuited | 8.35% | 8.35 | -0.3028 | 0.9% | 77.38% |
| 4/3 unsuited | 7.9% | 8.69 | -0.3133 | 0.9% | 78.28% |
| 7/4 unsuited | 8.05% | 8.47 | -0.3177 | 0.9% | 79.19% |
| Q/2 unsuited | 8.06% | 8.45 | -0.3191 | 0.9% | 80.09% |
| J/5 unsuited | 8.41% | 8.04 | -0.3241 | 0.9% | 81% |
| 9/5 unsuited | 7.99% | 8.21 | -0.3435 | 0.9% | 81.9% |
| J/4 unsuited | 8.07% | 8.11 | -0.3453 | 0.9% | 82.81% |
| 6/3 unsuited | 7.56% | 8.57 | -0.352 | 0.9% | 83.71% |
| J/3 unsuited | 7.75% | 8.2 | -0.3638 | 0.9% | 84.62% |
| T/5 unsuited | 8.06% | 7.89 | -0.3641 | 0.9% | 85.52% |
| 5/2 unsuited | 7.34% | 8.56 | -0.3714 | 0.9% | 86.43% |
| J/2 unsuited | 7.48% | 8.31 | -0.3791 | 0.9% | 87.33% |
| T/4 unsuited | 7.71% | 7.95 | -0.3877 | 0.9% | 88.24% |
| 8/4 unsuited | 7.38% | 8.27 | -0.3898 | 0.9% | 89.14% |
| 4/2 unsuited | 6.96% | 8.68 | -0.3963 | 0.9% | 90.05% |
| T/3 unsuited | 7.4% | 8.04 | -0.4054 | 0.9% | 90.95% |
| T/2 unsuited | 7.11% | 8.14 | -0.4211 | 0.9% | 91.86% |
| 7/3 unsuited | 6.85% | 8.36 | -0.4273 | 0.9% | 92.76% |
| 9/4 unsuited | 6.96% | 8.03 | -0.4408 | 0.9% | 93.67% |
| 3/2 unsuited | 6.35% | 8.77 | -0.4427 | 0.9% | 94.57% |
| 6/2 unsuited | 6.38% | 8.46 | -0.4601 | 0.9% | 95.48% |
| 9/3 unsuited | 6.63% | 8.12 | -0.4615 | 0.9% | 96.38% |
| 9/2 unsuited | 6.35% | 8.23 | -0.4772 | 0.9% | 97.29% |
| 8/3 unsuited | 6.36% | 8.09 | -0.4852 | 0.9% | 98.19% |
| 8/2 unsuited | 6.06% | 8.19 | -0.5039 | 0.9% | 99.1% |
| 7/2 unsuited | 5.86% | 8.17 | -0.5211 | 0.9% | 100% |
| Total | 11.33% | 8.82 | 0 | 100% |
Methodology
This table is the result of a random simulation of 20,583,763,200 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 10-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. If forced I would say you should need 10 points in late position and 19 points in early position to call the big blind. If your table is loose, as if often the case online, you can play a bit looser yourself.
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.