# When 3 dice are rolled what is the probability?

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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. This idea generalizes further for more dice.

## How do you find the probability of rolling 3 dice?

Probability for rolling three dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each (three) dies. When three dice are thrown simultaneously/randomly, thus number of event can be 63 = (6 × 6 × 6) = 216 because each die has 1 to 6 number on its faces.

## When 3 dice are rolled what is the probability of getting a sum of 16?

The set of all possibilities for three six-sided dice number is 1-6 is 216. (4,6,6);(6,4,6);(6,6,4);(6,5,5);(5,5,6);(5,6,5) 6 ways. P(16) = # ways to set 16/ set of all possibilities.

## How do we calculate probabilities?

How to calculate probability

1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.

## What is the probability of rolling 3 sixes with 3 dice?

This seemed simple at first as the odds of rolling 1 six are 1/2, 2 sixes would be 1/14 and 3 sixes would be 1/216 so they would be our odds.

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## What is the probability of getting 3 sixes when you roll 3 dice?

The odds of rolling a triple six are less than 100%. Therefore there is NO finite number of rolls which would guarantee a win. The probability of rolling a triple 6 is 1/216.

## What is the probability of rolling a 3 or 5?

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%)

## How many ways can you roll a 3 with two dice?

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%