**Contents**show

## When two 6 sided dice are rolled what is the probability that the sum is 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 rolling a sum of 6 or 9 when rolling two dice?

6 Sided Dice probability (worked example for two dice). Two (6-sided) dice roll probability table.

…

Two (6-sided) dice roll probability table.

Roll a… | Probability |
---|---|

6 | 15/36 (41.667%) |

7 | 21/36 (58.333%) |

8 | 26/36 (72.222%) |

9 | 30/36 (83.333%) |

## What is the probability that the sum of the numbers rolled is 5?

Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is **4/36 = 1/9**.

## What is the probability of getting a sum of 7 when rolling two dice?

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**.

## How many ways are there to roll a sum of 5 or doubles on two dice?

To calculate your chance of rolling doubles, add up all the possible ways to roll doubles (1,1; 2,2; 3,3; 4,4; 5,5; 6,6). 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.