How to Calculate the Odds of Particular Poker Hands?

Here, we provide tables of poker hands odds for five and seven card games played with 52 card deck without wild cards. These tables reflect the odds of a poker hand to appear in the game and can not be used when the game is already in process. These tables can be useful to evaluate the relative strength of the hand at the table or to calculate payout rates of casino poker games with pay-tables. Video poker games normally are based on draw poker, where the drawing increases the odds of all hands. The odds in the tables below represent the probability of hands to appear before the drawing. The overall odds of hands after drawing depend on the strategy used, but normally are at least quite higher.

Note that odds in these tables are in the traditional format: odds against the hand, meaning that the represented numbers are the number of possible ways to form a combination in questions divided by the number of other possible poker combinations.

Five Card Games:

• Pair: 1.37:1
• Two Pair: 20:1
• Three of a Kind: 46.3:1
• Straight: 254:1
• Flush: 508:1
• Full House: 693:1
• Four of a Kind: 4,164:1
• Straight Flush: 64,973:1
• Royal Flush: 649,640:1

Seven Card Games:

• Pair: 1.28:1
• Two Pair: 3.26:1
• Three of a Kind: 19.7:1
• Straight: 20.6:1
• Flush: 32.1:1
• Full House: 37.5:1
• Four of a Kind: 594:1
• Straight Flush: 3,216:1
• Royal Flush: 32,160:1

To calculate the relative strength of your hand at the table you should do the following: add odds of all combinations that are higher than yours and multiply the result by the number of players at the table (except yourself). The result you get represents the odds of your hand to be beaten.

For Example: If you have a straight in a seven card game and there are 3 other players at your table, the odds of your hand to be beaten are: (1/32.7+1/37.5+1/594.1+1/3,126+1/32,160)*3=1/5.6, which means that your chances to win are 5.6 times higher than your chances to lose.