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

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## What is the probability of rolling three 6 sided 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 two six sided dice and getting a different number on each die?

There are only six of them, and once we cross them out we have the remaining cells in which the numbers on the dice are different. We can take the number of combinations (30) and divide it by the size of the sample space (36), resulting in a probability of 5/6.

## What is the probability of rolling 3 different numbers on 3 dice?

Thus, the actual probability of getting three different numbers is 56⋅23=59.

## What is the formula of probability?

In general, the probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

## What is the probability of rolling two six sided dice and obtaining at least one 3?

If you use the above graphic and count the number of times is 6 appears when two dice are rolled, you will see the answer is eleven. Eleven times out of 36 or 30.5 %, slightly less than the 33.3% (2/6). When you roll two dice, you have a 30.5 % chance at least one 6 will appear.

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## How do you find the probability?

Divide the number of events by the number of possible outcomes.

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. …
4. Determine each event you will calculate. …
5. Calculate the probability of each event.