Poker odds chart
Everything you need at the table on one page: the chance of hitting your outs, how often each starting hand and flop comes, and who is ahead all-in. Every figure is exact, counted over every possible card, not rounded from a rule of thumb.
Percentages are the chance that something happens. "Odds against" says how many times it fails for each time it succeeds: 4 to 1 means it succeeds once in five tries.
Outs: your chance on the turn and river
After the flop 47 cards are unseen, after the turn 46. With 9 outs, the most common flush draw, you hit on the turn 19.1% of the time, on the river 19.6%, and on one or the other 35.0%, if you see both cards. How to count outs, and where the rule of 2 and 4 goes wrong, is on the outs page.
| Outs | Turn (one card) | River (one card) | Turn or river (two cards) | Odds against, two cards |
|---|---|---|---|---|
| 1 | 2.1% | 2.2% | 4.3% | 22.5 to 1 |
| 2 | 4.3% | 4.3% | 8.4% | 10.9 to 1 |
| 3 | 6.4% | 6.5% | 12.5% | 7.0 to 1 |
| 4 | 8.5% | 8.7% | 16.5% | 5.1 to 1 |
| 5 | 10.6% | 10.9% | 20.4% | 3.9 to 1 |
| 6 | 12.8% | 13.0% | 24.1% | 3.1 to 1 |
| 7 | 14.9% | 15.2% | 27.8% | 2.6 to 1 |
| 8 | 17.0% | 17.4% | 31.5% | 2.2 to 1 |
| 9 | 19.1% | 19.6% | 35.0% | 1.9 to 1 |
| 10 | 21.3% | 21.7% | 38.4% | 1.6 to 1 |
| 11 | 23.4% | 23.9% | 41.7% | 1.4 to 1 |
| 12 | 25.5% | 26.1% | 45.0% | 1.2 to 1 |
| 13 | 27.7% | 28.3% | 48.1% | 1.1 to 1 |
| 14 | 29.8% | 30.4% | 51.2% | 1.0 to 1 |
| 15 | 31.9% | 32.6% | 54.1% | 0.8 to 1 |
| 16 | 34.0% | 34.8% | 57.0% | 0.8 to 1 |
| 17 | 36.2% | 37.0% | 59.8% | 0.7 to 1 |
| 18 | 38.3% | 39.1% | 62.4% | 0.6 to 1 |
| 19 | 40.4% | 41.3% | 65.0% | 0.5 to 1 |
| 20 | 42.6% | 43.5% | 67.5% | 0.5 to 1 |
| 21 | 44.7% | 45.7% | 69.9% | 0.4 to 1 |
Common draws on the flop
| Draw on the flop | Outs | Hit on the turn | Hit by the river | Odds against by the river |
|---|---|---|---|---|
| Flush draw | 9 | 19.1% | 35.0% | 1.9 to 1 |
| Open-ended straight draw | 8 | 17.0% | 31.5% | 2.2 to 1 |
| Flush and straight draw | 15 | 31.9% | 54.1% | 0.8 to 1 |
| Gutshot straight draw | 4 | 8.5% | 16.5% | 5.1 to 1 |
| Two overcards, to pair one | 6 | 12.8% | 24.1% | 3.1 to 1 |
| One overcard, to pair it | 3 | 6.4% | 12.5% | 7.0 to 1 |
| Set, to a full house or better | 7 | 14.9% | 33.4% | 2.0 to 1 |
Starting hands
There are 1,326 ways to be dealt two cards. More on the starting hands page.
| Starting hand | Chance | Odds | Odds against |
|---|---|---|---|
| Any pocket pair | 5.88% | 1 in 17.0 | 16.0 to 1 |
| One given pair, such as aces | 0.45% | 1 in 221 | 220 to 1 |
| Aces or kings | 0.90% | 1 in 110 | 110 to 1 |
| AA, KK, QQ or AK | 2.56% | 1 in 39.0 | 38.0 to 1 |
| Ace-king, any suits | 1.21% | 1 in 82.9 | 81.9 to 1 |
| Ace-king suited | 0.30% | 1 in 332 | 330 to 1 |
| Two cards of one suit | 23.53% | 1 in 4.2 | 3.2 to 1 |
| At least one ace | 14.93% | 1 in 6.7 | 5.7 to 1 |
On the flop
What three community cards do for each kind of hand. More on the flop odds page.
| On the flop | Chance | Odds | Odds against |
|---|---|---|---|
| Pocket pair flops a set or better | 11.76% | 1 in 8.5 | 7.5 to 1 |
| Unpaired hand pairs a hole card or better | 32.43% | 1 in 3.1 | 2.1 to 1 |
| Unpaired hand flops two pair with both cards | 2.02% | 1 in 49.5 | 48.5 to 1 |
| Suited hand flops a flush draw | 10.94% | 1 in 9.1 | 8.1 to 1 |
| Suited hand flops a flush | 0.84% | 1 in 119 | 118 to 1 |
By the river
| By the river, if you see all five cards | Chance | Odds |
|---|---|---|
| Pocket pair makes a set or better | 19.2% | 1 in 5.2 |
| Unpaired hand pairs a hole card or better | 48.7% | 1 in 2.1 |
| Suited hand makes a flush with its suit | 6.4% | 1 in 15.6 |
All-in before the flop
Two hands, all the chips in, five cards to come. Check any other pair of hands with the equity calculator.
| All-in before the flop | First hand | Second hand | Split pot |
|---|---|---|---|
| A♣ A♦ vs K♥ K♠ | 81.3% | 18.7% | 0.38% |
| A♣ K♦ vs Q♥ Q♠ | 42.8% | 57.2% | 0.34% |
| A♥ K♥ vs 2♣ 2♦ | 50.1% | 49.9% | 0.63% |
| K♣ K♦ vs A♥ K♥ | 65.9% | 34.1% | 0.82% |
| A♣ A♦ vs A♥ K♠ | 92.6% | 7.4% | 1.25% |
| J♣ J♦ vs A♥ K♥ | 53.9% | 46.1% | 0.38% |
How often each hand comes up
In Texas Hold'em your hand is the best five of seven cards. More, including five-card poker, on the hand probabilities page.
| Hand | Combinations | Chance | Odds |
|---|---|---|---|
| Royal flush | 4,324 | 0.0032% | 1 in 30,940 |
| Straight flush | 41,584 | 0.031% | 1 in 3,217 |
| Four of a kind | 224,848 | 0.17% | 1 in 595 |
| Full house | 3,473,184 | 2.60% | 1 in 38.5 |
| Flush | 4,047,644 | 3.03% | 1 in 33.1 |
| Straight | 6,180,020 | 4.62% | 1 in 21.6 |
| Three of a kind | 6,461,620 | 4.83% | 1 in 20.7 |
| Two pair | 31,433,400 | 23.50% | 1 in 4.3 |
| One pair | 58,627,800 | 43.82% | 1 in 2.3 |
| High card | 23,294,460 | 17.41% | 1 in 5.7 |
Using the chart
- Compare your chance with the price. A call that costs a quarter of the final pot needs at least 25% equity. The calculator does the division for you.
- Count one card at a time when there is betting to come. The "turn or river" column assumes you see both cards for one price, which is true only when someone is all-in.
- Discount dirty outs. An out that completes your hand but gives an opponent a better one is not an out. Count only the cards that make you the winner.
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