Note that there are 36 possibilities for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## How do you determine the number of dice combinations?

More generally, when we throw the dice and represent the combination in a line such as 00***000*, the **number of *’s is the same as the number of dice = S**. The number of 0’s in the line is one less than the number of different faces on each die (i.e. our number of choices) so the number of 0’s = (N-1).

## What is the probability of rolling a 7 or 11 with two dice?

What about 7 OR 11? There are 6 x 6 or 36 options, all are equally likely, 7 occurs 6 times, so the chances are 6/36 or 1/6. 11 occurs 2 times so chances are **2/36 or 1/18**. 7 or 11 are 8 of the 36 options so 8/36 or 2/9.

## 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**.

## How many ways can you roll a 8 with two dice?

Below you see the ways you can roll 8 with 2 dice. There are **5 ways** to roll an two dice with the sum of 8.

## What is the probability of rolling a 2 or a 3 on a six sided die?

Probability of rolling a certain number or less with one die

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

1 | 1/6 (16.667%) |

2 | 2/6 (33.333%) |

3 | 3/6 (50.000%) |

4 | 4/6 (66.667%) |

## How do you determine the number of outcomes?

**The fundamental counting principle** is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.