What is the probability that the sum is 16? 1 in 36. One way to do it is to write down all the ways to get 16: 6, 6, 4 and 6, 5, 5. Each of them can be rolled three ways, so it’s (3 + 3) / (6*6*6) = 6 / 216 = 1 / 36.

## When you roll three 6 sided dice the probability that they will sum to 10 is the same as the probability that they will sum to?

By similar logic, n(5) = 4, n(6) = 5, n(7) = 6, n(8) = 5, and n(9) = 4. Since the sum of n(i) for i from 4 to 9 equals 27, the probability of 3 rolls summing to 10 is 27/(**6****3) = 27/216 = 1/8. Three dices-Total number of outcomes-6^3=216. I typed this up so that you can generally get the entire CDF of the function.

## When 3 dice are rolled find 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 of 20 when rolling 3 fair six sided dice?

find the total number of possible outcomes with the **dices** which is 216…. now find the number of combinations that give a **sum** of **3**,4,5,**6**…. it will be 1+**3**+**6**+10=**20** and hence the **probability** is **20**/216…

## What is the probability of getting the 1st 6 on the 4th roll using a six sided die?

There is a 5/**6 probability** that the first **roll** is not **a 6**. In that case, we need to see if the second **roll** is **a 6**. The **probability** of the second **roll** being **a 6** is 1/**6**, so our overall **probability** is 1/**6** + (5/**6**)*(1/**6**) = 11/36.

## 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 that the sum is 8?

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% |

## What is the probability of getting a sum of 8 in rolling a dice once?

Probabilities for the two dice

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

6 | 5 |
13.89% |

7 | 6 | 16.67% |

8 | 5 | 13.89% |

9 | 4 | 11.11% |

## What is the probability that you roll at least one 3 in your dice?

The **probability** of **rolling at least one 3** is 1–25/36=11/36, a bit less than 1/**3**.

## How many ways can a sum of 16 be obtained?

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 . P(16) = # ways to get 16 / set of all possibilities.