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## What is the probability of getting a sum of 7 with 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**.

## When two dice are thrown the total outcomes are?

Note that there are **36 possibilities** for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## What is the probability of 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%) |

## What is the probability of getting a sum has 3 If a dice is thrown?

We know that the number of possible outcomes is 36. Thus, the probability of getting multiples of 3 as a sum of digits on dice is =**1236=13**. Note: We must calculate the number of favourable and possible outcomes in each case to calculate the probability of each of the given events.

## What is the sample space of three dice?

When three dice are rolled sample space contains **6 × 6 × 6 = 216 events** in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.

## What is the probability that the sum of the numbers rolled is 6?

Probability of a sum of 6: 10/216 = **4.6%** Probability of a sum of 7: 15/216 = 7.0% Probability of a sum of 8: 21/216 = 9.7%