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Poker Outs to Odds
Poker Outs Math
To find your chance of improving a drawing hand based on the number of outs, use the following table:| Outs | Turn Odds | River Odds | Turn+River Odds |
| 1 Out | 45.9-to-1 (2.13%) | 45.1-to-1 (2.17%) | 22.3-to-1 (4.26%) |
| 2 Outs | 22.5-to-1 (4.26%) | 22.0-to-1 (4.35%) | 10.9-to-1 (8.42%) |
| 3 Outs | 14.7-to-1 (6.38%) | 14.3-to-1 (6.52%) | 7.0-to-1 (12.49)% |
| 4 Outs | 10.8-to-1 (8.51%) | 10.5-to-1 (8.70%) | 5.1-to-1 (16.47%) |
| 5 Outs | 8.4-to-1 (10.64%) | 8.2-to-1 (10.87%) | 3.9-to-1 (20.35%) |
| 6 Outs | 6.8-to-1 (12.77%) | 6.7-to-1 (13.04%) | 3.2-to-1 (24.14%) |
| 7 Outs | 5.7-to-1 (14.89%) | 5.6-to-1 (15.22%) | 2.6-to-1 (27.84%) |
| 8 Outs | 4.9-to-1 (17.02%) | 4.8-to-1 (17.39%) | 2.2-to-1 (31.45%) |
| 9 Outs | 4.2-to-1 (19.15%) | 4.1-to-1 (19.57%) | 1.9-to-1 (34.97%) |
| 10 Outs | 3.7-to-1 (21.28%) | 3.6-to-1 (21.74%) | 1.6-to-1 (38.39%) |
| 11 Outs | 3.3-to-1 (23.40%) | 3.2-to-1 (23.91%) | 1.4-to-1 (41.72%) |
| 12 Outs | 2.9-to-1 (25.53%) | 2.8-to-1 (26.09%) | 1.2-to-1 (44.96%) |
| 13 Outs | 2.6-to-1 (27.66%) | 2.5-to-1 (28.26%) | 1.1-to-1 (48.10%) |
| 14 Outs | 2.4-to-1 (29.79%) | 2.3-to-1 (30.43%) | 0.95-to-1 (51.16%) |
| 15 Outs | 2.1-to-1 (31.91%) | 2.1-to-1 (32.61%) | 0.85-to-1 (54.12%) |
| 16 Outs | 1.9-to-1 (34.04%) | 1.9-to-1 (34.78%) | 0.75-to-1 (56.98%) |
| 17 Outs | 1.8-to-1 (36.17%) | 1.7-to-1 (36.96%) | 0.67-to-1 (59.76%) |
| 18 Outs | 1.6-to-1 (38.30%) | 1.6-to-1 (39.13%) | 0.60-to-1 (62.44%) |
| 19 Outs | 1.5-to-1 (40.43%) | 1.4-to-1 (41.30%) | 0.54-to-1 (65.03%) |
| 20 Outs | 1.3-to-1 (42.55%) | 1.3-to-1 (43.48%) | 0.48-to-1 (67.53%) |
| 21 Outs | 1.2-to-1 (44.68%) | 1.2-to-1 (45.65%) | 0.43-to-1 (69.94%) |
| 22 Outs | 1.1-to-1 (46.81%) | 1.1-to-1 (47.83%) | 0.38-to-1 (72.25%) |
Sometimes you'll find general poker cashout time guidelines posted in official poker site FAQs such as '7-10 business days'. These generic placeholders are adhered to every plutonium half-life or two. Online poker sites certainly don't want to psychologically get you into payout mode before you've had a chance to contribute to their bottom line.
Poker Out Odds
To calculate the percentage by hand, use any of the following approximations:Poker Outlaws
| Accuracy | Turn | River | Turn+River | Comments |
| Excellent | Outs times 2.13% | Outs times 2.17% | *Turn odds plus River odds minus Turn odds times River odds | More accurate than you'll ever need |
| Very Good | Outs times 2-1/8% | Outs times 2-1/6% | **Outs times 4%, minus (Outs - 8) if 9 or more Outs | As accurate as you'll ever need |
| Good | Outs times 2%, plus 1% if 5+ Outs, plus 2% if 13+ Outs | Same as Turn | **Outs times 4%, minus (Outs - 8) if 9 or more Outs | The easiest reasonable approximation |
| Bad | Outs times 2% plus 1% | Same as Turn | Outs times 4% | Not good if low or high numbers of outs |
Poker Outs
* For example, using the Good approximation, if you have 9 Outs, then you have a 19% chance on the turn, a 19% chance on the river, and a 38% minus 19% of 19% (close to 20% of 20%, which is 4%) equals a 34% chance on the turn and river combined.
** From David Solomon, mentioned in Harrington on Hold 'em: Volume 2.
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