# You asked: What are all the possible outcomes of rolling 3 dice?

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Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. … The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice.

## 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 are all the possible outcomes of rolling a dice?

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 expected value of rolling 3 dice?

What is the expected value of the sum of three dice? – Quora. The expected value of one die is 3.5, which is the average of the dots on the six faces. Rolling three dice would give you an expected outcome of 10.5.

## 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.

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## What is the probability of rolling a sum of 4?

Probabilities for the two dice

Total Number of combinations Probability
2 1 2.78%
3 2 5.56%
4 3 8.33%
5 4 11.11%