Poker Charts Odds
| Example drawing to | Outs | Make on turn | Make on river | Make on turn or river | |||
|---|---|---|---|---|---|---|---|
| Prob. | Odds | Prob. | Odds | Prob. | Odds | ||
| Inside straight flush; Four of a kind | 1 | 0.0213 | 46.0-1 | 0.0217 | 45.0-1 | 0.0426 | 22.5-1 |
| Open-ended straight flush; Three of a kind | 2 | 0.0426 | 22.5-1 | 0.0435 | 22.0-1 | 0.0842 | 10.9-1 |
| High pair | 3 | 0.0638 | 14.7-1 | 0.0652 | 14.3-1 | 0.1249 | 7.01-1 |
| Inside straight; Full house | 4 | 0.0851 | 10.8-1 | 0.0870 | 10.5-1 | 0.1647 | 5.07-1 |
| Three of a kind or two pair | 5 | 0.1064 | 8.40-1 | 0.1087 | 8.20-1 | 0.2035 | 3.91-1 |
| Either pair | 6 | 0.1277 | 6.83-1 | 0.1304 | 6.67-1 | 0.2414 | 3.14-1 |
| Full house or four of a kind; (see note) Inside straight or high pair | 7 | 0.1489 | 5.71-1 | 0.1522 | 5.57-1 | 0.2784 | 2.59-1 |
| Open-ended straight | 8 | 0.1702 | 4.88-1 | 0.1739 | 4.75-1 | 0.3145 | 2.18-1 |
| Flush | 9 | 0.1915 | 4.22-1 | 0.1957 | 4.11-1 | 0.3497 | 1.86-1 |
| Inside straight or pair | 10 | 0.2128 | 3.70-1 | 0.2174 | 3.60-1 | 0.3839 | 1.60-1 |
| Open-ended straight or high pair | 11 | 0.2340 | 3.27-1 | 0.2391 | 3.18-1 | 0.4172 | 1.40-1 |
| Inside straight or flush; Flush or high pair | 12 | 0.2553 | 2.92-1 | 0.2609 | 2.83-1 | 0.4496 | 1.22-1 |
| 13 | 0.2766 | 2.62-1 | 0.2826 | 2.54-1 | 0.4810 | 1.08-1 | |
| Open-ended straight or pair | 14 | 0.2979 | 2.36-1 | 0.3043 | 2.29-1 | 0.5116 | 0.955-1 |
| Open-ended straight or flush; Flush or pair; Inside straight, flush or high pair | 15 | 0.3191 | 2.13-1 | 0.3261 | 2.07-1 | 0.5412 | 0.848-1 |
| 16 | 0.3404 | 1.94-1 | 0.3478 | 1.88-1 | 0.5698 | 0.755-1 | |
| 17 | 0.3617 | 1.76-1 | 0.3696 | 1.71-1 | 0.5976 | 0.673-1 | |
| Inside straight or flush or pair; Open-ended straight, flush or high pair | 18 | 0.3830 | 1.61-1 | 0.3913 | 1.56-1 | 0.6244 | 0.601-1 |
| 19 | 0.4043 | 1.47-1 | 0.4130 | 1.42-1 | 0.6503 | 0.538-1 | |
| 20 | 0.4255 | 1.35-1 | 0.4348 | 1.30-1 | 0.6753 | 0.481-1 | |
| Open-ended straight, flush or pair | 21 | 0.4468 | 1.24-1 | 0.4565 | 1.19-1 | 0.6994 | 0.430-1 |
This grid compares the strength of a particular Texas hold'em hand (in this case ) against all other hands. Each square represents a pair of opponent cards, and the color represents the relative strength of these two hands — the redder the square, the more likely the opponent hand is to win. These probabilities were computed by enumerating all ≈1.3 trillion hands of heads-up Texas hold'em.
Calculating Poker Odds for Dummies - A FREE, #1 guide to mastering odds. How to quickly count outs to judge the value & chance of winning a hand in 2020.
Navigating the Grid
Opponent pair cards are organized along the main diagonal, in a band of 4x4 boxes. Opponent suited cards lie along other diagonals. Johnson lower unit compatibility. The dark squares correspond to impossible hands, where a card is duplicated.
Tidbits
If you are holding a pair, an opponent holding any higher pair has essentially the same advantage over you, regardless of the rank of the pair. In fact, compared to (say) a pair of 6s, a pair of 7s is slightly better than a pair of Aces.
While a pair of Aces is the strongest hand averaged over all opponent hands, the single strongest heads-up face-off is a pair of Kings vs a K+2 offsuit.