## Poker Outs to Odds

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%) |

To calculate the percentage by hand, use any of the following approximations:

**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 |

* 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*.