Five Card Draw Odds And Probabilities

The Probability of Being Dealt a Specific Hand Before the Draw – Without Joker

Total Possible Combos 2,598,960

Table:

Hand Type     # of possible combos    Percentage    Odds against
Straight Flush     40    0.0015%    64,973 to 1
4 of a kind     624    0.02%    4,164 to 1
Full House     3,744    0.14%    693 to 1
Flush     5,108    0.2%    508 to 1
Straight     10,200    0.39%    254 to 1
3 of a kind     54,912    2.11%    46.3 to 1
2 pair     123,552    4.75%    20 to 1
Openers (A Pair of A’s-J’s)     337,920    13%    6.69 to 1
Shorts (A pair of 10’s-2’s)     760,320    29.25%    2.42 to 1