# Texas Hold'em Poker Odds & Probabilities

It has been said that there are two groups of players in poker. The first group of players bets even when the odds are not in their favor. The second group of players profits from the cash left behind by the first group. You want to belong to the second group.

Knowing your odds well is a key discipline one must possess to consistently win at poker. The poker odds chart below shows the probabilities of obtaining various winning hands in Texas Hold'em Poker.

"Now the general who wins a battle makes many calculations in his temple ere the battle is fought. The general who loses a battle makes but few calculations beforehand. Thus do many calculations lead to victory, and few calculations to defeat: how much more no calculation at all! It is by attention to this point that I can foresee who is likely to win or lose." - Sun Tzu

## Poker Odds Chart

### Starting Hands Odds & Probabilities

Odds/probability of being dealt Pocket Aces |
220 to 1 (or 0.45% chance) |

Odds/probability of being dealt either Pocket Aces or Pocket Kings |
110 to 1 (or 0.90% chance) |

Odds/probability of being dealt any Pocket Pair |
16 to 1 (or 5.88% chance) |

Odds/probability of being dealt suited Ace-King |
331 to 1 (or 0.30% chance) |

Odds/probability of being dealt offsuit Ace-King |
110 to 1 (or 0.90% chance) |

Odds/probability of being dealt Ace-King (either suited or offsuit) |
82 to 1 (or 1.20% chance) |

Odds/probability of being dealt any two suited cards |
3.3 to 1 (or 23.3% chance) |

Odds/probability of being dealt Pocket Aces, Pocket Kings or Ace-King |
46 to 1 (or 2.13% chance) |

### Odds/Probabilities when holding Pocket Pairs

Odds/probability of flopping a set or better |
8.5 to 1 (or 10.5% chance) |

Odds/probability of flopping a set |
7.5 to 1 (or 11.8% chance) |

Odds/probability of flopping a full house |
136 to 1 (or 0.73% chance) |

Odds/probability of flopping quads |
407 to 1 (or 0.25% chance) |

Odds/probability of making a set or better by the river |
4.2 to 1 (or 19.2% chance) |

### Odds/Probabilities when holding two Suited Cards

Odds/probability of flopping a flush |
118 to 1 (or 0.84% chance) |

Odds/probability of flopping a flush draw |
8.1 to 1 (or 11.0% chance) |

Odds/probability of flopping a backdoor flush draw |
1.4 to 1 (or 41.7% chance) |

Odds/probability of making a flush by the river |
15 to 1 (or 6.25% chance) |

### Odds/Probabilities when holding two Unsuited Cards

Odds/probability of flopping a flush draw |
88 to 1 (or 1.12% chance) |

Odds/probability of flopping a backdoor flush draw |
6.8 to 1 (or 12.8% chance) |

Odds/probability of making a flush by the river |
53 to 1 (or 1.85% chance) |

### Odds/Probabilities when holding two Non-pair Cards

Odds/probability of flopping at least a pair (using one of your pocket cards) from two non-pair cards |
2.1 to 1 (or 32.3% chance) |

Odds/probability of flopping a pair (using one of your pocket cards) from two non-pair cards |
2.5 to 1 (or 28.6% chance) |

Odds/probability of flopping two pair (using both of your pocket cards) from two non-pair cards |
49 to 1 (or 2.00% chance) |

Odds/probability of flopping any two pair from two non-pair cards |
24 to 1 (or 4.00% chance) |

Odds/probability of flopping a set (using one of your pocket cards) from two non-pair cards |
73 to 1 (or 1.35% chance) |

Odds/probability of flopping a full house (using both of your pocket cards) from two non-pair cards |
1087 to 1 (or 0.09% chance) |

Odds of flopping quads (using one of your pocket cards) from two non-pair cards |
9799 to 1 (or 0.01% chance) |

### Odds/Probabilities of the Flop

Odds/probability of the board showing three of a kind on the flop |
424 to 1 (or 0.24% chance) |

Odds/probability of the board showing a pair on the flop |
5 to 1 (or 16.7% chance) |

Odds/probability of the board having three suited cards on the flop |
18 to 1 (or 5.26% chance) |

Odds/probability of the board having two suited cards on the flop |
0.8 to 1 (or 55.6% chance) |

Odds/probability of having a rainbow board on the flop |
1.5 to 1 (or 40.0% chance) |

Odds/probability of the board showing three cards in sequence on the flop |
28 to 1 (or 3.45% chance) |

Odds/probability of the board showing two cards in sequence on the flop |
1.5 to 1 (or 40.0% chance) |

Odds/probability of the board showing no card in sequence on the flop |
0.8 to 1 (or 55.6% chance) |

Odds/probability of making a full house or better from a set on the turn card |
5.7 to 1 (or 14.9% chance) |

Odds/probability of making a full house from two pair on the turn card |
11 to 1 (or 8.33% chance) |

Odds/probability of making a flush from a four-flush on the turn card |
4.2 to 1 (or 19.2% chance) |

Odds/probability of making a straight from an open-ended straight draw on the turn card |
4.9 to 1 (or 16.9% chance) |

Odds/probability of making a straight from a gutshot straight draw on the turn card |
11 to 1 (or 8.33% chance) |

Odds/probability of making a pair from two overcards on the turn card |
6.8 to 1 (or 12.8% chance) |

### Odds & probabilities at the Turn

Odds/probability of making a full house or better from a set on the river card |
3.6 to 1 (or 21.7% chance) |

Odds/probability of making a full house from two pair on the river card |
11 to 1 (or 8.33% chance) |

Odds/probability of making a flush from a four-flush on the river card |
4.1 to 1 (or 19.6% chance) |

Odds/probability of hitting an open-ended straight draw on the river card |
4.8 to 1 (or 17.2% chance) |

Odds/probability of hitting a gutshot straight draw on the river card |
11 to 1 (or 8.33% chance) |

Odds/probability of hitting a pair from two overcards on the river card |
6.7 to 1 (or 13.0% chance) |

### Odds & Probabilities from Flop to River

Odds/probability of making a full house or better by the river from a set on the flop |
2 to 1 (or 33.3% chance) |

Odds/probability of making a full house or better by the river from two pair on the flop |
5.1 to 1 (or 16.4% chance) |

Odds/probability of making a flush by the river from a four-flush on the flop |
1.9 to 1 (or 34.5% chance) |

Odds/probability of making a backdoor flush by the river |
23 to 1 (or 4.17% chance) |

Odds/probability of making a straight by the river from an open-ended straight draw on the flop |
2.2 to 1 (or 31.3% chance) |

Odd/probability of making a straight by the river from a gutshot straight draw on the flop |
5.1 to 1 (or 16.4% chance) |

Odds/probability of making a pair or better by the river from two overcards on the flop |
3.2 to 1 (or 23.8% chance) |