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## What is the expected value of the average of three dice?

Expected value of one die is 1/6*(1+2+3+4+5+6)=3.5. Expected value of three dice is **3*3.5=10.5**.

## What is the expected sum of three dice?

What is the expected value of the sum of three dice? – Quora. The expected value of one die is 3.5, which is the average of the dots on the six faces. Rolling three dice would give you an expected outcome of **10.5**.

## What is the sample size for 3 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 of rolling a 3 or 5?

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 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 rolling a sum of 12 on a six sided dice?

Probabilities for the two dice

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

10 | 3 | 8.33% |

11 | 2 | 5.56% |

12 | 1 |
2.78% |

Total | 36 | 100% |

## What is the probability of getting 20 points with 6 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 are the odds of rolling 3 of a kind with 3 dice?

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.

## What is the probability of getting 1 and 5 If a dice is thrown once?

So they are mutually exclusive events, therefore their probabilities add to 1. 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.