If the die is fair (and we will assume that all of them are), then each of these outcomes is equally likely. Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

## What is the probability of rolling 2 dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

2 |
1/36 (2.778%) |

3 | 2/36 (5.556%) |

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

## When two dice are thrown find the probability?

We know that the total number of possible outcomes when two dice are thrown is =**6×6=36**. We know that the probability of any event is the ratio of the number of favourable outcomes and the number of possible outcomes.

## What is the probability of rolling a 6 with two die?

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 getting a 7 when rolling 2 dice?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.

## When two sided dice are rolled There are 36 possible outcomes?

Every time you add an additional die, the number of possible outcomes is multiplied by 6: 2 dice 36, 3 dice 36*6 = **216 possible outcomes**.

## What is the probability of getting 1 and 5 If a dice is thrown once?

So they are mutually exclusive events, therefore their probabilities add to 1. By symmetry we expect that each face is equally likely to appear and so each has probability = **1/6**. The outcome of a 5 is one of those events and so has probability = 1/6 of appearing.

## What is the probability of getting at most the difference of 3?

1/6 chance for each side, 1/36 to roll any one of those combinations. Multiply that chance by 3, for the 3 combinations we can roll to give us a difference of 3, and we get **3/36**, or an 8.