Poker Hand Statistics Texas Holdem
- Poker Hand Statistics Texas Holdem Rules
- Poker Hand Statistics Texas Holdem Odds
- Poker Hand Odds Texas Holdem
- Poker Hand Statistics Texas Holdem Real Money
- Poker Hand Statistics Texas Holdem Tournaments
The Poker Hand Range Calculator calculates Texas Hold'em hand ranges from percentage values and vice-versa. All this online and free. Setup a poker range by selecting the hands in the poker hand calculator and share the link which is automatically generated for you. Frequency of 7-card poker hands. In some popular variations of poker such as Texas Hold 'Em, a player uses the best five-card poker hand out of seven cards. The frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in the 7-card poker hand.
Poker can be a fun card game for the family, or a serious competitive game in which the steaks can be so enormous, even selling your house wouldn’t cover the costs.
There are many variations of poker, with Texas Hold ‘Em being the most popular worldwide.
Below are a whole bunch of poker facts and statistics which help you understand the chances of wining and the odds of getting the cards you want.
Poker Hand Statistics Texas Holdem Rules
Did You Know?
A pocket pair is cards of the same rank, which means if your two cards have the same number, from 2-2 all the way up to A-A, this is called a pocket pair.
- The odds of receiving any pocket pair is 5.9% which is 16 to 1. These are also the same odds of receiving a pocket pair of 2’s.
- The odds of receiving a specific pocket pair: 0.45% or 220 to 1 These are the same odds for receiving a pocket pair of A’s.
- The odds of receiving a pocket pair of A’s twice in a row is 0.002047% or 48,840 to 1.
- The odds of receiving a pocket pair of K’s is 0.9% which is 220 to 1.
- The odds of receiving a pocket pair of Q’s is 1.4% which is 73 to 1.
- The odds of receiving a pocket pair of J’s is 1.8% which is 54 to 1.
- The odds of receiving a pocket pair of 10’s is 2.3% which is 43 to 1.
- The odds of receiving a pocket pair of 9’s is 2.7% which is 36 to 1.
- The odds of receiving a pocket pair of 8’s is 3.2 which is 31 to 1.
- The odds of receiving a pocket pair of 7’s is 3.6% which is 27 to 1.
- The odds of receiving a pocket pair of 6’s is 4.1% which is 24 to 1.
- The odds of receiving a pocket pair of 5’s is 4.5% which is 21 to 1.
- The odds of receiving a pocket pair of 4’s is 5.0% which is 19 to 1.
- The odds of receiving a pocket pair of 3’s is 5.4% which is 17 to 1.
Poker Fast Facts
Poker Hand Statistics Texas Holdem Odds
The total number of possible royal flush hands in a standard 52 card deck is 4.
And the odds of making a royal flush is 649,739 to 1.
This is correct assuming that every game plays to the river.
In poker terms, the river is the name for the fifth card dealt, face-up on the board.
In total, there are 2,598,960 possible poker hands with 52 cards.
The odds of getting four of a kind in Texas Hold ‘Em is 4164 to 1.
Casinos normally change decks after 15 minutes of steady play, so that the cards can always be fresh and unmarked, as many professional players would be able to remember the certain markings on cards and use that to their advantage.
This is only a basic overview of poker odds, there are many calculators online that can help solve the odds of getting certain hands, depending on what stage of the game you’re at, what cards you currently hold and how many people are playing.
Now you are familiar with these odds, you can use them to your advantage for a better poker strategy when you finally decided to play a tournament.
In Texas Hold-Em Poker the odds of making a royal flush hand is only 649,739 to 1.
Introduction
The following table ranks the top hands in a 3-player game. This table assumes that all players stay in until the end.
Poker Hand Odds Texas Holdem
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.