# What is the sample space when a pair of dice is rolled?

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## What is the sample space when 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’. Therefore, the number of favorable outcomes in the sample space = 6. Total number of possible outcomes of sample space = 36.

## How many sample points are there 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 number of elements in the sample space when a die is rolled?

For sample space of A, we look for total outcomes when the die is rolled in 1, 2, 3, 4, 5, and 6. In this case, numbers greater than 4 are 5 and 6. Hence, the sample space of A consists of just 5 and 6.

## What is the sample size for two dice?

We know that in a single thrown of two die, the total number of possible outcomes is (6 × 6) = 36. Let S be the sample space. Then, n(S) = 36.

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## How do you find the sample space of a dice?

First, you need to determine the size of the sample space. The size of the sample space is the total number of possible outcomes. For example, when you roll 1 die, the sample space is 1, 2, 3, 4, 5, or 6. So the size of the sample space is 6.

## What is the probability of getting a total of 8 when two dice are rolled?

Probabilities for the two dice

Total Number of combinations Probability
8 5 13.89%
9 4 11.11%
10 3 8.33%
11 2 5.56%

## How many elements are there in the sample space of rolling of two dice?

Numbers of elements in the sample space = 36