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

Contents

## What is the probability that the dice each show different numbers?

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

## What are the odds of rolling 6 dice and getting all different numbers?

ways the desired numbers can appear (any permutation of {1,2,3,4,5,6} ). There are 66 total possible rolls, so the probability is 6! 66≈0.015. The probability of getting each number is 1/6.

## What is the probability that 4 dice show different numbers?

which is approximately 27.78%.

## What is the probability of 2 dice showing a different number?

The colors of the body of the table illustrate the number of ways to throw each total. The probability of throwing any given total is the number of ways to throw that total divided by the total number of combinations (36).

Probabilities for the two dice.

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Total Number of combinations Probability
10 3 8.33%
11 2 5.56%
12 1 2.78%
Total 36 100%

## What is the probability of a dice showing a 2 or 5?

Two (6-sided) dice roll probability table

Roll a… Probability
2 1/36 (2.778%)
3 2/36 (5.556%)
4 3/36 (8.333%)
5 4/36 (11.111%)

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

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

## What are the possible outcomes of getting a six How many outcomes are possible?

Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.

First coin Second coin outcome
T H TH
T T TT

## What are the odds of rolling a 6’6 times?

There is a 66.5% chance of it landing on a 6 at least once.

## When 4 dice are thrown what is probability that the same number appears on each of them?

The chances that all the dice show same number (1,1,1,1), (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)} is 6. Answer: There are 6 numbers on a dice. Same number appearing means either 1 or 2 or …

## How many different outcomes are there when rolling four standard dice?

My initial reaction is to say that the answer is 64, since 4 dice can have 6 outcomes.