**Contents**show

## What is the probability of rolling a sum of 5 or 6?

Probabilities for the two dice

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

4 | 3 | 8.33% |

5 | 4 | 11.11% |

6 | 5 |
13.89% |

7 | 6 | 16.67% |

## What is the probability of obtaining either a 6 or a 7 when throwing a pair of dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |

8 | 5/36 (13.889%) |

## What is the probability of rolling 2 dice and getting a sum of 7?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.

## What is the probability that the sum is 6?

Probability of getting a total of 6 = **5/36**.

## What is the probability of rolling two six sided dice and getting 6 and 6?

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**.