**Contents**show

## What is the probability that the dice show the same numbers?

The probability for exactly 3 identical numbers is **(53)⋅6⋅52⋅6−5=250⋅6−4**, since we can choose the 3 dice in (53) ways, choose 1 of 6 numbers for them and choose 1 of the remaining 5 numbers for each of the two remaining dice.

## What is the chance of two dice both landing on 6?

Probabilities for the two dice

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

4 | 3 | 8.33% |

5 | 4 | 11.11% |

6 | 5 | 13.89% |

7 | 6 | 16.67% |

## What is the probability of rolling the same number 3 times?

The probability of getting the same number is again **1/6**. So the probability of three numbers the same is 1/6×1/6.

## 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 getting the same number on five dice?

There are five dice, so whatever the first die rolls there is a **1/6 chance** that the second die is the same number. If that occurs, there’s a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

## What is the probability of getting 5 or 6 on a single throw?

Probability of rolling a certain number or less with one die

Roll a…or less | Probability |
---|---|

3 | 3/6 (50.000%) |

4 | 4/6 (66.667%) |

5 | 5/6 (83.333%) |

6 | 6/6 (100%) |