Poker Outs Calculator and Odds Chart
Enter your number of outs and pick the flop or turn, and the calculator gives you the exact odds of hitting, compared with the “rule of 4 and 2” estimate.
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What are outs?
Outs are the remaining cards that turn your hand into a (very likely) winner. For example, you hold A♥9♥ on a K♥7♥2♣ flop: the 13 − 4 = 9 remaining hearts all give you a flush, so you have 9 outs. The shortcut buttons above the calculator cover the most common draws.
Outs for common draws
| Draw | Outs | Flop → river | Turn → river |
|---|---|---|---|
| Pocket pair → set | 2 | 8.4% | 4.3% |
| Gutshot / two pair → full house | 4 | 16.5% | 8.7% |
| One pair → two pair or trips | 5 | 20.4% | 10.9% |
| Two overcards | 6 | 24.1% | 13.0% |
| Set → full house or quads | 7 | 27.8% | 15.2% |
| Open-ended straight draw | 8 | 31.5% | 17.4% |
| Flush draw | 9 | 35.0% | 19.6% |
| Gutshot + two overcards | 10 | 38.4% | 21.7% |
| Flush draw + gutshot | 12 | 45.0% | 26.1% |
| Flush draw + open-ender | 15 | 54.1% | 32.6% |
The exact formulas
- From the flop, hitting at least once by the river: P = 1 − C(47 − o, 2) ÷ C(47, 2) = 1 − (47 − o)(46 − o) ÷ (47 × 46)
- From the flop, hitting on the very next card (the turn): o ÷ 47
- From the turn, hitting on the river: o ÷ 46
For a flush draw: 1 − 38 × 37 ÷ 2,162 = 1 − 1,406 ÷ 2,162 ≈ 35.0%.
Full odds chart for 1–20 outs
| Outs | Hit on the turn | Flop → river | Rule of 4 | Turn → river | Rule of 2 |
|---|---|---|---|---|---|
| 1 | 2.1% | 4.3% | 4% | 2.2% | 2% |
| 2 | 4.3% | 8.4% | 8% | 4.3% | 4% |
| 3 | 6.4% | 12.5% | 12% | 6.5% | 6% |
| 4 | 8.5% | 16.5% | 16% | 8.7% | 8% |
| 5 | 10.6% | 20.4% | 20% | 10.9% | 10% |
| 6 | 12.8% | 24.1% | 24% | 13.0% | 12% |
| 7 | 14.9% | 27.8% | 28% | 15.2% | 14% |
| 8 | 17.0% | 31.5% | 32% | 17.4% | 16% |
| 9 | 19.1% | 35.0% | 36% | 19.6% | 18% |
| 10 | 21.3% | 38.4% | 40% | 21.7% | 20% |
| 11 | 23.4% | 41.7% | 44% | 23.9% | 22% |
| 12 | 25.5% | 45.0% | 48% | 26.1% | 24% |
| 13 | 27.7% | 48.1% | 52% | 28.3% | 26% |
| 14 | 29.8% | 51.2% | 56% | 30.4% | 28% |
| 15 | 31.9% | 54.1% | 60% | 32.6% | 30% |
| 16 | 34.0% | 57.0% | 64% | 34.8% | 32% |
| 17 | 36.2% | 59.8% | 68% | 37.0% | 34% |
| 18 | 38.3% | 62.4% | 72% | 39.1% | 36% |
| 19 | 40.4% | 65.0% | 76% | 41.3% | 38% |
| 20 | 42.6% | 67.5% | 80% | 43.5% | 40% |
When the rule of 4 and 2 goes wrong
- The rule of 4 overestimates big draws. Up to 8 outs it's off by less than 1 percentage point; from 9 outs it starts running high, overestimating by about 6 points at 15 outs and 12.5 points at 20. The fix: above 8 outs use 4 × outs − (outs − 8), which gives 53% for 15 outs, close to the real 54.1%.
- The rule of 4 only applies when you're sure to see both cards, for example when you're already all-in. If you'll face another bet on the turn, compare the “next card” odds (roughly the rule of 2) with the pot odds.
- The rule of 2 slightly underestimates. The exact turn-to-river figure is outs ÷ 46 ≈ 2.17 × outs, so 9 outs is really 19.6%, not 18%.
Three traps when counting outs: ① Don't double-count: a flush draw plus an open-ender isn't 9 + 8 = 17 outs, because 2 cards complete both, so it's 15. ② Discount “dirty” outs: a card that makes your straight but also gives your opponent a flush isn't a real out. ③ On a paired board, your flush can lose to a full house. When in doubt, enter your opponent's likely hands in the poker odds calculator and calculate it directly.
For the order of every made hand, see the Texas Hold'em hand rankings.
FAQ
What are the odds of hitting a flush draw?
How many outs does an open-ended straight draw have?
Is the rule of 4 accurate?
Why use 47 unseen cards on the flop?
Sources
Facts on this page were checked against these official Natural8 pages on 2026-10-30. The official terms always prevail.
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