Poker Variations Probability
Rank of poker hands. The rank of standard poker hands is determined by their odds (probability). Two or more identical hands tie and divide any winning equally. The suits have no relative rank in poker. When there is any wild card in the game, the highest possible hand is five of a kind, which beats any straight flush. Play two of the most commonly spread variations, Omaha High and Omaha 8-or-better. A form of stud poker. Probability is essential here and this poker form can help you improve your simple math.
The poker hand probability chart shows the odds of making a specific hand type by the showdown. It is valid for any 7-card poker variant, including Texas Holdem and 7 Card Stud.
Poker Variations Probability Calculator
The chart assumes that you have a random hole cards. Some hole cards (for example pocket pairs), are more likely to make a good hand by the river. This is why playing tight is such important in poker.
The cumulative odds column displays odds to make a particular hand or better. For example, the probability for making four of a kind or straight flush or royal flush is 0.0311%.
The total number of unique 7-card hands is 133,784,560. Suits have no relative value in poker, so by ignoring them the total number ot unique 7-card hands drops to 6,009,159.
Since in poker you can use only 5 cards out of 7 to make the best hand, there is a further reduction in possible combinations, making the total of 4,824 unique poker hands.
Poker Variations Probability Games
An interesting fact is that you are more likely to make a pair than a high card by the showdown in 7-card variants. This is a bit against the poker hand ranking, which was originally built with the assumption that the less frequent hand beats the more frequent one.
The ranking was correct for 5-card poker variants, which were dominant at the times the ranking was created. Maybe people that invented 7-card variants forgot to update the ranking, who knows?
Poker hand probability chart
| Hand | Odds | Cumulative |
| Royal flush | 0.0032% | 0.0032% |
| Straight flush | 0.0279% | 0.0311% |
| Four of a kind | 0.168% | 0.199% |
| Full house | 2.60% | 2.80% |
| Flush | 3.03% | 5.82% |
| Straight | 4.62% | 10.4% |
| Three of a kind | 4.83% | 15.3% |
| Two pair | 23.5% | 38.8% |
| One pair | 43.8% | 82.6% |
| High card | 17.4% | 100% |
More articles on poker probability:
Poker odds calculator
Poker outs and odds
Pot odds and expected value
Sklansky bucks
Implied odds
Reverse implied odds
Common preflop odds chart
Common flop odds chart
Pocket pairs - flopping overcards odds
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