Poker Card Hands Odds
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. While you don't have to be a mathematical genius to play poker (although it can certainly help), it is worth knowing some of the basic odds, probabilities and percentages behind the various hands.
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.
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.
Three Card Poker Hand Odds
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% |
Poker Card Hands Odds Calculator
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
Go back to the Online Poker Strategy.