Poker Hand Probability Chart

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.

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 Hand Probability Chart

Poker hand probability chart

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