Odds of Poker Hands
In betting, higher odds are typically offered for less likely outcomes, making big winnings rare. There are 52 cards in a poker deck, resulting in 2,598,960 possible combinations, making calculations straightforward. The odds for forming a specific poker hand are determined by dividing the number of ways to make that hand by the total number of poker hands, making the odds openly available.
Poker Hands |
No. of Ways |
Probability |
Royal Flush |
4 |
0.000154% |
Straight Flush |
36 |
0.00139% |
4-of-a-Kind |
624 |
0.0240% |
Full House |
3,744 |
0.1441% |
Flush |
5,108 |
0.1965% |
Straight |
10,200 |
0.3925% |
3-of-a-Kind |
54,912 |
2.1128% |
Two Pair |
123,552 |
4.7539% |
One Pair |
1,098,240 |
42.2569% |
High Card |
1,302, 540 |
50.1177% |
Relative Value And Absolute Value
The ranking of traditional poker hands remains fixed, but their actual value can change based on gameplay. This value can be understood in two ways: absolute value (the inherent strength of the hand) and relative value (its value in the current game context). For instance, having two pairs is generally a strong hand, but its value decreases if an opponent holds a flush.