Poker Odds Chart: Probability of Every Hand, Outs and Flop Odds
How likely is a royal flush? How often do you get pocket aces? This poker odds chart answers those questions with exact numbers for Texas Hold’em: the probability of every poker hand, your chances before and on the flop, and an outs table to use at the table.
Probability of each poker hand (7 cards)
In Texas Hold’em you make your best hand from seven cards: your two hole cards and the five on the board. There are 133,784,560 possible seven-card combinations.
| Hand | Combinations (7 cards) | Probability | Odds against |
|---|---|---|---|
| Royal flush | 4,324 | 0.0032% | 30,939 : 1 |
| Straight flush | 37,260 | 0.0279% | 3,590 : 1 |
| Four of a kind | 224,848 | 0.1681% | 594 : 1 |
| Full house | 3,473,184 | 2.6% | 37.5 : 1 |
| Flush | 4,047,644 | 3.03% | 32.1 : 1 |
| Straight | 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% | 3.3 : 1 |
| One pair | 58,627,800 | 43.82% | 1.3 : 1 |
| High card | 23,294,460 | 17.41% | 4.7 : 1 |
The most common final hand is one pair (about 44%). A royal flush comes about once in 30,940 deals that reach the river.
Starting hand odds
| Situation | Probability | Odds against |
|---|---|---|
| Any pocket pair | 5.88% | 16.0 : 1 |
| Pocket aces (AA) | 0.45% | 220 : 1 |
| Ace-king (AK), any suits | 1.21% | 81.9 : 1 |
| Ace-king suited | 0.3% | 330 : 1 |
| Two suited cards | 23.53% | 3.2 : 1 |
| Two connected cards (like 8-9) | 15.69% | 5.4 : 1 |
You get pocket aces once every 221 hands on average, and any pocket pair about once every 17 hands.
Flop odds
| Situation | Probability | Odds against |
|---|---|---|
| Pocket pair flops a set or better | 11.76% | 7.5 : 1 |
| Unpaired hand pairs at least one hole card | 32.43% | 2.1 : 1 |
| Two suited cards flop a flush draw | 10.94% | 8.1 : 1 |
| Two suited cards flop a made flush | 0.84% | 118 : 1 |
Poker outs chart
An out is a card that improves your hand to a likely winner. This chart shows your chance to hit at least one out.
| Outs | Example | Flop to river (2 cards) | Turn to river (1 card) |
|---|---|---|---|
| 1 | 4.3% | 2.2% | |
| 2 | Pocket pair to a set | 8.4% | 4.3% |
| 3 | 12.5% | 6.5% | |
| 4 | Gutshot straight draw | 16.5% | 8.7% |
| 5 | 20.4% | 10.9% | |
| 6 | Two overcards | 24.1% | 13.0% |
| 7 | 27.8% | 15.2% | |
| 8 | Open-ended straight draw | 31.5% | 17.4% |
| 9 | Flush draw | 35.0% | 19.6% |
| 10 | 38.4% | 21.7% | |
| 11 | 41.7% | 23.9% | |
| 12 | Flush draw + one overcard | 45.0% | 26.1% |
| 13 | 48.1% | 28.3% | |
| 14 | 51.2% | 30.4% | |
| 15 | Flush draw + open-ended straight draw | 54.1% | 32.6% |
Rule of 2 and 4: for a quick estimate, multiply your outs by 4 on the flop (two cards to come) or by 2 on the turn (one card to come). Nine outs gives about 36% and 18%; the exact numbers are 35% and 19.6%.
How to use these numbers
Compare your chance to win with the price of the call. If you need 25% to call and you have 35%, the call pays in the long run. Read what are pot odds in poker for the full method, and check any hand in the poker odds calculator. Then play free Texas Hold’em online to practise.
FAQ
What are the odds of a royal flush in Texas Hold’em? About 0.0032%, or roughly 1 in 30,940 hands that reach the river.
How often do you get pocket aces? Once every 221 hands on average (0.45%).
What is the most common poker hand? One pair, at about 43.8% of seven-card hands.
What are the odds of hitting a flush draw? With nine outs, about 35% from the flop to the river and 19.6% from the turn to the river.