# You asked: When three dice are rolled the sample space consists of how many events?

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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. Chapter 4.2, Problem 26E is solved.

## When three dice are thrown What is the sample space?

If three dice are thrown simultaneously, the total number of sample spaces = 216. = 1/54.

## 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 sum of 3?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of 3: 1/216 = 0.5% Probability of a sum of 4: 3/216 = 1.4%

## How many combinations are there with 2 dice?

Probabilities for the two dice

Total Number of combinations Probability
10 3 8.33%
11 2 5.56%
12 1 2.78%
Total 36 100%

## What is the probability of getting a number 3 or 4 in single throw of a dice?

Probability = Favourable Outcomes ÷ Total Outcomes =62=31.

## What is a probability of 1?

A probability of 1 means that the event will happen. If the probability of a road traffic accident was 1 there would be nothing you could do to stop it. It will happen.

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