# How many ways can three dice be rolled?

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## When three dice are rolled the number of possible cases?

Total Number of possibilities=1×5×5×3C1=75.

## What is the probability of rolling 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 sample space when 3 dice are rolled?

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.

## How many possibilities are there with 4 dice?

What are the most likely outcomes from rolling a pair of dice?

Outcome List of Combinations Total
4 1+3, 2+2, 3+1 3
5 1+4, 2+3, 3+2, 4+1 4
6 1+5, 2+4, 3+3, 4+2, 5+1 5
7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 6

## What is the probability that all three dice show different numbers?

Summary : If three dice are tossed, then the probability that the numbers shown will all be different is 5/9.

## How many exhaustive cases are possible in case of throwing 3 dice simultaneously?

The total number of possible outcomes in any trial is known as exhaustive events (or) exhaustive cases. 2. In throwing of a die, there are six exhaustive cases, since anyone of the 6 faces 1, 2, 3, 4, 5, 6 may come uppermost.

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## When rolling 3 dice and 3 coins The total number of outcomes is?

Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.

## What are the odds of rolling 3 of a kind with 3 dice?

The probability of getting the same number is 1/6. Throw the third die. The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.