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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. Chapter 4.2, Problem 26E is solved.

## When three dice are thrown What is the sample space?

If three dice are thrown simultaneously, the total number of sample spaces = 216. = **1/54**.

## 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 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%

## How many combinations are there with 2 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 a number 3 or 4 in single throw of a dice?

Probability = Favourable Outcomes ÷ Total Outcomes =62=**31**.

## What is a probability of 1?

A probability of 1 means **that the event will happen**. If the probability of a road traffic accident was 1 there would be nothing you could do to stop it. It will happen.