# Frequent question: What is the sample space when two dice are rolled?

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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 sample space of two dice are rolled?

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. Total number of possible outcomes of sample space = 36.

## What are the outcomes when two dice are thrown?

Since, a cubical dice has six faces and each face has a number that range from 1 to 6. So, the total number of outcomes when 1 dice is thrown is 6. Therefore, when two dice are thrown, the total number of outcomes will be the total combinations of the 6 numbers of one die with the 6 numbers of the other die.

## How many outcomes are there for adding the numbers of 12 dice?

A throw of twelve dice can result in 612 different outcomes, to all of which we attribute equal probabilities.

## 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 are the event of rolling a six-sided die?

A compound eventAn event with more than one outcome. is an event with more than one outcome. For example, in rolling one sixsided die, rolling an even number could occur with one of three outcomes: , , and . When we roll a sixsided die many times, we should not expect any outcome to happen more often than another.

## What is the probability of rolling a four with a six-sided die?

Two (6-sided) dice roll probability table

Roll a… Probability
4 3/36 (8.333%)
5 4/36 (11.111%)
6 5/36 (13.889%)
7 6/36 (16.667%)

## How do you calculate sample space?

The sample space is S = {H, T}. E = {H} is an event. Example 2 Tossing a die. The sample space is S = {1,2,3,4,5,6}.