Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. … The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice.

## 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 are all the possible outcomes of rolling a dice?

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 expected value of rolling 3 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**.

## When two sided dice are rolled There are 36 possible outcomes?

Every time you add an additional die, the number of possible outcomes is multiplied by 6: 2 dice 36, 3 dice 36*6 = **216 possible outcomes**.

## What is the probability of rolling a sum of 4?

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% |