Probability of a sum of 7: 15/216 = 7.0%

## What is the probability of rolling sum of 7?

As the chart shows the closer the total is to 7 the greater is the probability of it being thrown.

…

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% |

## When 3 dice are rolled what is the probability of getting a sum of 16?

Probability that the sum is 16=**6/6*6*6*=1/36**.

## What is the probability of getting a total of 3 or 7 when two dice are rolled?

Probability is the number of favourable outcomes divided by the total number of outcomes. So when two dice are thrown there are **36** possibilities. Now to get a sum or 7 you have to get 1,6;6,1;2,5;5,2;3,4;4,3. There are 6 favourable outcomes and total number of outcomes are 36.

## What is the probability of rolling a 7 on a single die?

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 of rolling a sum of 7 and 11?

What is the probability that the sum will be a 7 or 11? There are 36 possible outcomes for the two dice. So, the probability is **8/36 = 2/9**.

## What is the probability of rolling a sum of 3?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of **3: 1/216 = 0.5%** Probability of a sum of 4: 3/216 = 1.4%

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

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 can a sum of 16 be obtained with 3 dice?

Now count all the squares which contain 16 and it should be six of them. Therefore the probability of getting a total of 16 will be **6/216** or 1/36. The set of all possibilities for three six- sided dice numbered 1–6 is 216 .