Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.

## How many sample points are in the sample space when a pair of dice is thrown once?

Example: Throwing dice

There are **6** different sample points in the sample space.

## 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.

## When two dice are thrown what is 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 2 on a 6 sided die?

Probability of rolling a certain number or less for two 6-sided 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 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 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%

## What is the probability of rolling the difference of 1?

Let A be the event of getting the difference as 1. = 10. = **5/18**. Hope this helps!