What are the odds of forming each kind of hand in poker?
In the table below, Frequency represents the number of ways this hand can be made from the 7 available cards (being the two private Hole Cards and the five Community Cards).
| Hand Combination | Frequency | Probability | Odds Against |
|---|---|---|---|
| Royal Flush
|
4,324 | 0.0032% | 30,939 : 1 |
| Straight Flush (excluding royal flush)
|
37,260 | 0.0279% | 3,589.6 : 1 |
| Four of a Kind
|
224,848 | 0.168% | 594 : 1 |
| Full House
|
3,473,184 | 2.6% | 35.7 : 1 |
| Flush (excluding Royal Flush and Straight Flush)
|
4,047,644 | 3.03% | 32.1 : 1 |
| Straight (excluding Royal Flush and Straight Flush)
|
6,180,020 | 4.62% | 20.6 : 1 |
| Three of a Kind
|
6,461,620 | 4.83% | 19.7 : 1 |
| Two Pair
|
31,433,400 | 23.5% | 3.26 : 1 |
| One Pair
|
58,627,800 | 43.8% | 1.28 : 1 |
| High Card Only
|
23,294,460 | 17.4% | 4.74 : 1 |
The values given for Odds Against and Probability are approximates.
The above video shows a real hand of Match Poker Online™, played during the development stage.
The odds of landing a Straight-Flush on the Flop alone are 1 in 72,193 (excluding a Royal Flush);
AND THEN, Villain (enforser) also had the Nut Flush!
The chances of both of the above happening in this same hand are a staggeringly unlikely 1 in 5,574,332, or 0.00001794%.