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# How to Play Poker Dice

## aka Yahtzee (TM)

Poker dice is played according rules similar to that of card poker. In poker dice, the object is the attain a combination of dice that ranks higher than your opponents' combinations. You get three chances to roll the dice, and you may hold any number of dice when you roll.

Yahtzee (TM) is a trademarked version of poker dice sold by Hasbro. In Yahtzee, the object is to attain different combinations and earn points for each achievement. The player with the highest score wins.

Below we explain the rules for each game below and explain the probabilities of rolling certain combinations. You can also try your luck with the poker dice/Yahtzee game above.

## Poker Dice Rules

In traditional poker dice, each player has three opportunities to roll five dice. After the first roll, you may hold some dice and roll the remaining dice. After the second roll, you may hold more dice or release previously held dice before rolling for the last time. After the third roll, the dice are examined. There are eight possible outcomes shown in the table below. The right column shows the probability of attaining each outcome in a*single*throw of the dice.

Rank | Combination Name | Probability |

Highest | Five of a Kind | 1/1296 = 0.0007716 |

2 | Four of a Kind | 25/1296 = 0.01929 |

3 | Full House | 25/648 = 0.03858 |

4 | Straight | 5/162 = 0.03086 |

5 | Three of a Kind | 25/162 = 0.1543 |

6 | Two Pairs | 25/108 = 0.2315 |

7 | One Pair | 25/54 = 0.463 |

Lowest | High Card (High Die) | 5/81 = 0.06173 |

## Yahtzee Rules and scoring

In Yahtzee, you score points for making some of the poker dice combinations above, plus other combinations not listed above. In a typical game, each player has 13 turns to make each combination, in any order. As in poker dice, players are allowed three rolls per turn. Here are the 13 scoreable combinations:Name | Points | Name | Points |

Ones | sum of the 1's | Chance | sum of the dice |

Twos | sum of the 2's | Three of a Kind | sum of the dice |

Threes | sum of the 3's | Four of a Kind | sum of the dice |

Fours | sum of the 4's | Full House | 25 |

Fives | sum of the 5's | Small Straight | 30 |

Sixes | sum of the 6's | Large Straight | 40 |

Bonus | 35 | Yahtzee | 50 |

**Explanations**:

*Small Straight*: A straight on four dice; 1234, 2345, or 3456. The probability of rolling this combo is 10/81 = 0.1235.*Large Straight*: A straight on all five dice; 12345 or 23456.*Yahtzee*: Five of a kind.*Chance*: Simply the sum of the dice.*Bonus*: When a player attains a subscore of at least 63 on the ones, twos,..., sixes, then the player gets an additional 35 points. In order to earn a score of at least 63 on the first six categories, one should roll at least three ones, three twos,..., three sixes.

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