Poker Card Hands Odds
Poker Flash Cards: HAND ODDS. Included in this 52-card deck of poker flash cards: Preflop All-in Matchups, Counting Outs, Complex Outs, Calculating Hand Odds (with an easy-to-use mathematical equation) and Hand Odds Situational Practice. Poker is a game of chance and applied skill. Learn what your chances are and how to use them to your advantage.
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%.
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. 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. In poker, players form sets of five playing cards, called hands, according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high games, like Texas hold 'em and seven-card stud, the highest-ranking hands win.In low games, like razz, the lowest-ranking hands win. The tools and tips you need to improve your poker game. We offer a hold'em poker odds calculator, an Omaha odds calculator, a free poker tracker, hand quizes, and poker tips.
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.
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
Go back to the Online Poker Strategy.
Three card poker is always played with one deck of 52 cards. There are a total of 22,100 different ways that three cards can be dealt. Using a bit of math we can determine the probability of each hand. The table below shows the ways, probabilities and odds for each hand.
| Hand | Ways | Probability | Odds |
| Straight Flush | 48 | 0.002172 | 1 in 460 |
| 3 of a Kind | 52 | 0.002353 | 1 in 425 |
| Straight | 720 | 0.032579 | 1 in 30 |
| Flush | 1096 | 0.049593 | 1 in 20 |
| Pair | 3744 | 0.169412 | 1 in 5.9 |
| Nothing | 16440 | 0.743891 | 1 in 1.3 |
| Totals | 22,100 | 100.0000 |
Notes
As you can see on the table above the straight in three card poker out ranks the flush. This is unique to the game as in every other poker game the flush always out ranks the straight. The reason for the change in rankings is the fact that there are more ways to make a flush with three cards than there are ways to make a straight.
Poker Hand Odds Calculator
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