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Table of Contents

- What is the probability of rolling two dice and getting a double?
- What is the probability of rolling two dice and getting a combination that adds up to 3?
- What is the probability of rolling two dice and getting a sum of 4 or doubles?
- What is the probability of rolling doubles or a sum of 6?
- What is the probability of rolling a sum of 12 with two dice?
- What is the theoretical probability of rolling a 6 on your die?
- How many ways are there to roll either a 6 or 12 with two dice?
- What is the probability of rolling two six-sided dice and obtaining at least one 3?

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

1/18. 3

1/12

1 Expert Answer The number of different outcomes on two dice is the number of different outcomes on the first die (6) TIMES the number of different outcomes on the second (6), or 36. The probability of rolling doubles is 1/6, because there are 6 ways to roll doubles. 6/36 = 36.

Probabilities for the two dice

Total | Number of combinations | Probability |
---|---|---|

10 | 3 | 8.33% |

11 | 2 | 5.56% |

12 | 1 | 2.78% |

Total | 36 | 100% |

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |

How many total combinations are possible from rolling two dice? Since each die has 6 values, there are 6∗6=36 6 ∗ 6 = 36 total combinations we could get.

So the probability of rolling a 2 and a 3 would be 1/36 + 1/36 = 2/36 or 1/18. There is only one way to roll two 6’s on a pair of dice: the first die must be a 6 and the second die must be a 6. The probability is 1/6 × 1/6 = 1/36. There are 3 ways in which to get at least one 6 in the roll of two dice.