**Contents**show

## What is the probability of rolling three dice and getting a different number on each die?

For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die. 6 x 5 x 4 = **120 possibilities** out of 216 total possibilities. (For total possibilities we get 6 x 6 x 6 = 216).

## How do you calculate probability with 3 dice?

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 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 formula of probability?

P(**A**) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

…

Basic Probability Formulas.

All Probability Formulas List in Maths | |
---|---|

Conditional Probability | P(A | B) = P(A∩B) / P(B) |

Bayes Formula | P(A | B) = P(B | A) ⋅ P(A) / P(B) |

## What is the probability of rolling 3 sixes with 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 6 with 2 dice?

Probabilities for the two dice

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

6 | 5 |
13.89% |

7 | 6 | 16.67% |

8 | 5 | 13.89% |

9 | 4 | 11.11% |