**Contents**show

## What is the probability of getting 5 from 3 dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

3 | 3/36 (8.333%) |

4 | 6/36 (16.667%) |

5 | 10/36 (27.778%) |

6 | 15/36 (41.667%) |

## When two dice are rolled find the probability of getting a sum divisible by 3?

There are 3×3=9 total possibilities for the two dice, which makes the probability of getting a multiple of three 3/9=1/3. Since there are 6×6=36 total dice rolls and 1/3 of those are a multiple of three, the number which are divisible by three is (1/3)(36)=12.

## What is the probability of rolling 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 of getting the same numbers on 3 dice when they are thrown simultaneously?

The probability of getting the same number is **1/6**. Throw the third die. The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.

## When three dice are rolled together what is the probability of getting at least two 5?

= **91/216**.

## What is the probability of rolling a dice 3 times and getting a different number each time?

Thus, the actual probability of getting three different numbers is **56⋅23=59**.