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

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So, the total number of joint outcomes (a,b) is 6 times 6 which is 36. The set of all possible outcomes for (a,b) is called the sample space of this probability experiment.

## What is the sample space for the sum of two dice?

The sample space is the list of all possible outcomes, not the likelihood of each outcome. Therefore, your sample space would be {2,3,4,5,6,7,8,9,10,11,12}.

## What is the sample space when two dice are rolled one time?

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.

## What is the sample space of if a pair of dice rolled which the sum is 5?

Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

## What is the probability of getting a sum of more than 10 when you roll two dice?

Probabilities for the two dice

Total Number of combinations Probability
9 4 11.11%
10 3 8.33%
11 2 5.56%
12 1 2.78%

## 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.

## What is the probability of spinning a 2 and rolling a 3?

There are 8 numbers for that spinner so the probability of getting a 2 out of 8 numbers is 1/8. There are 6 sides for a die so the probability of getting a 3 out of 6 sides is 1/6. Since spinning a spinner and rolling a die are Independent, the probability of both happening is 1/8 times 1/6 which is 1/48.

## What is the probability of rolling a 9 as the sum of 2 die on a roll?

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.