# Question: What is sample space of rolling a dice?

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## What is the sample space in rolling a pair of die?

Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.

## How do you write a sample space for dice?

You could write the sample space another way, by just adding up the two dice. For example [1][1] = 2 and [1][2] = 3. That would give you a sample space of {2, 3, 4, 6, 7, 8, 9, 10, 11, 12}.

## What is the sample space of rolling three dice?

When three dice are rolled sample space contains 6 × 6 × 6 = 216 events in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.

## What is the sample space of a six sided dice?

Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face..that is now outcome. So experiment here is “Rolling a 6 faced dice” and list of possible outcomes is “{1,2,3,4,5,6}“. Sample space by its definition is list of all the possible outcomes of an experiment.

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## When two dice are thrown the total outcomes are?

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 N S of rolling a pair of a dice?

When two dice are rolled, we have n(S) = (6 × 6) = 36.

## What is the probability of 3 dice?

Two (6-sided) dice roll probability table

Roll a… Probability
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)

## What is the probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or 42.1 %.