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.

## What is the sample space of two dice are rolled?

The set of all possible outcomes of a random experiment is called the sample space associated with it and it is generally denoted by ‘S’. For an event of throwing of single die, sample space of die is given as: **s = {1, 2, 3, 4, 5, 6}**. Therefore, the number of favorable outcomes in the sample space = 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**.

## When two dice are rolled the maximum total on the two faces of the dice will be?

Answer: When two dice are thrown simultaneously, thus number of event can be **62** = 36 because each die has 1 to 6 number on its faces.

## When two dice are rolled what is the probability that the two numbers are differ by 3?

When you have 2 independent probabilities, to find out if they’re both true, you multiply them together. **1/6 odds for the first die to be** a 3, and 1/6 odds for the second die to be a 3.