**Contents**show

## When three dice are rolled the number of possible cases?

Total Number of possibilities=1×5×5×3C1=**75**.

## What is the probability of rolling 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 sample space when 3 dice are rolled?

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.

## How many possibilities are there with 4 dice?

What are the most likely outcomes from rolling a pair of dice?

Outcome | List of Combinations | Total |
---|---|---|

4 |
1+3, 2+2, 3+1 |
3 |

5 | 1+4, 2+3, 3+2, 4+1 | 4 |

6 | 1+5, 2+4, 3+3, 4+2, 5+1 | 5 |

7 | 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 | 6 |

## What is the probability that all three dice show different numbers?

Summary : If three dice are tossed, then the probability that the numbers shown will all be different is **5/9**.

## How many exhaustive cases are possible in case of throwing 3 dice simultaneously?

The total number of possible outcomes in any trial is known as exhaustive events (or) exhaustive cases. 2. In throwing of a die, there are **six exhaustive cases**, since anyone of the 6 faces 1, 2, 3, 4, 5, 6 may come uppermost.

## When rolling 3 dice and 3 coins The total number of outcomes is?

Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 6^{3} = (6 × 6 × 6) = **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.