# Poker Probabilities

Here are some basic probabilities that you should know:

Probability of being dealt suited cards | 23.5% |

Probability of flopping a flush when holding two suited cards | 0.8% |

Probability of flopping a flush draw when holding two suited cards | 10.9% |

Probability of hitting a flush draw (both turn/river, needing one card to hit) | 35% |

Probability of hitting an open-ended straight draw (i.e. 4 straight cards, need one on either end to hit on turn or river) | 31.5% |

Probability of hitting a gutshot draw (inside straight draw) on turn or river | 16.5% |

Probability of being dealt a pocket pair | 5.9% |

Probability of hitting a three of a kind or quads at the flop when you hold a pocket pair | 11.8% |

Probability of being dealt AA | 0.45% |

Probability of making a pair with one of your hole cards (example: hitting an ace or a king if you hold AK) | 32.4% |

Probability of hitting two pair on the flop with each of your hole cards (example: hitting both an ace and a king on the flop, when holding AK) | 2% |

Probability that at least one of your hole cards is an ace | 14.9% |

Probability of no one holding an ace, assuming you
do not have an ace. Note: this can be used
for any card (because the chances of you being dealt an ace or a king is
exactly the same).

# Players | Probability |
---|

2 | 84.5% |

3 | 70.9% |

4 | 59% |

5 | 48.6% |

6 | 39.7% |

7 | 32.1% |

8 | 25.6% |

9 | 20.1% |

10 | 15.6% |

Probability someone else does not have an ace, assuming you do have an
ace, by total number of players:

# Players | Probability |
---|

2 | 88.2% |

3 | 77.5% |

4 | 67.6% |

5 | 58.6% |

6 | 50.4% |

7 | 43% |

8 | 36.4% |

9 | 30.5% |

10 | 25.3% |