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

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## What is the probability of rolling three dice and getting a different number on each die?

For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die. 6 x 5 x 4 = 120 possibilities out of 216 total possibilities. (For total possibilities we get 6 x 6 x 6 = 216).

## How do you calculate probability with 3 dice?

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%

## 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 formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

Basic Probability Formulas.

All Probability Formulas List in Maths
Conditional Probability P(A | B) = P(A∩B) / P(B)
Bayes Formula P(A | B) = P(B | A) ⋅ P(A) / P(B)

## What is the probability of rolling 3 sixes with 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.

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## What is the probability of rolling a 6 with 2 dice?

Probabilities for the two dice

Total Number of combinations Probability
6 5 13.89%
7 6 16.67%
8 5 13.89%
9 4 11.11%