Poker Probability

January 22, 2008

There are literally 2,598,960 possible combination of 5 cards randomly drawn from a full deck of 52, without wild cards. This chart gives a breakdown of each possible poker hand being drawn.

Hand

Frequency

Probability

Odds against

Straight Flush

40

.00154%

64,973 : 1

4 of a kind

624

.0240 %

4,164 : 1

Full House

3,744

.144 %

693 : 1

Flush

5,108

.197 %

508 : 1

Straight

10,200

.392 %

254 : 1

Three of a kind

54,912

2.11 %

46.3 : 1

Two Pair

123,552

4.75 %

20.0 : 1

One Pair

1,098,240

42.3 %

1.37 : 1

High Card

2,598,960

50.1 %

0.995 : 1

TOTAL

2,598,960

100%

  

Note: The royal flush is included as a straight flush above. By itself, the royal flush can be formed 4 ways (one for each suit), giving it a probability of .000001539077169 and odds of 649,740 : 1.