**Contents**show

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. This idea generalizes further for more dice.

## How do you find the probability of rolling 3 dice?

Probability for rolling three dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each (three) dies. When three dice are thrown simultaneously/randomly, thus number of event can be 6^{3} = (6 × 6 × 6) = **216** because each die has 1 to 6 number on its faces.

## When 3 dice are rolled what is the probability of getting a sum of 16?

The set of all possibilities for three six-sided dice number is 1-6 is 216. (4,6,6);(6,4,6);(6,6,4);(6,5,5);(5,5,6);(5,6,5) 6 ways. P(16) = # ways to set **16/ set** of all possibilities.

## How do we calculate probabilities?

**How to calculate probability**

- Determine a single event with a single outcome.
- Identify the total number of outcomes that can occur.
- Divide the number of events by the number of possible outcomes.

## What is the probability of rolling 3 sixes with 3 dice?

This seemed simple at first as the odds of rolling 1 six are 1/2, 2 sixes would be 1/14 and 3 sixes would be **1/216** so they would be our odds.

## What is the probability of getting 3 sixes when you roll 3 dice?

The odds of rolling a triple six are less than 100%. Therefore there is NO finite number of rolls which would guarantee a win. The probability of rolling a triple 6 is **1/216**.

## 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%) |

## How many ways can you roll a 3 with two dice?

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% |