**Contents**show

## What is the probability of getting a sum of 8 when you roll 2 dice?

Probabilities for the two dice

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

7 | 6 | 16.67% |

8 | 5 |
13.89% |

9 | 4 | 11.11% |

10 | 3 | 8.33% |

## What is the probability that when two dice are rolled the sum of the numbers on the two dice is 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 of getting the sum of 6?

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

## What is the probability of rolling a sum of?

The combinations for rolling a sum of seven are much greater (1 and 6, 2 and 5, 3 and 4, and so on). To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of **1/18**.

## What is the probability that the sum is 4?

Probability of getting a sum of 4 on one toss of two dice is **3/36**, or 1/12.