Probability of a sum of 16: 6/216 = 2.8%

## 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 sum as 3 If a dice is thrown?

Probabilities for the two dice

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

2 | 1 | 2.78% |

3 | 2 |
5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

## What is the probability of getting a sum of numbers greater than 16?

The sum of numbers which are greater than 16 with 3 dice are only **17 and 18**. The probability of any specific number occurring is when one 6-sided “fair” dice is thrown is (1/6). This means that with 3 dice, there are 216 possible combinations of numbers 1 to 6 inclusive.

## 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 .

## 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 1 or 5 If a dice is thrown once?

By symmetry we expect that each face is equally likely to appear and so each has probability = **1/6**. The outcome of a 5 is one of those events and so has probability = 1/6 of appearing.

## When 2 dice are rolled find the probability of getting a sum greater than 16?

When two dice are rolled, the maximum sum of numbers that can be obtained on the two dice is (6 + 6) = 12 . In no way, one can get this sum 16 , therefore it is an impossible event , hence probability of its happening is .

## How many ways can a sum of 15 be obtained with 3 dice?

It is by finding non-negative integral solutions to the following equation. Therefore, the number of ways in which the sum of the numbers observed in 3 rolls of fair dice is 15 is equal to **10**.