# What is the probability of rolling 3 six sided dice and getting a different number on each dice?

Contents

Bunuel wrote: What is the probability of rolling three six-sided dice, and getting a different number on each die? Kudos for a correct solution. Divide 1 by 2 and we will get the probability = 6*5*4/6*6*6 = 5/9.

## What is the probability of rolling 3 6 sided dice and getting a different number on each day?

On rolling die 2 there are 5 chances in 6 that the number will be different, so 5/6. On rolling die 3, the chance of getting a number that is different from the other two should be 4/6.

## What is the probability that all 3 dice show a different number?

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

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

It means we have to find all possible numbers of three digits(all different) from the elements of the set { 1, 2, 3, 4, 5, 6 }, and these are (6 × 5× 4) = 120 in numbers . And the total possible cases when three dice are thrown = 6 × 6 × 6 = 216 . Hence the required probability = 120/216 = 5/9 .

## What’s the probability that your second roll is a 6 given that first roll is a 6 already?

1 Answer. As other people have pointed out in comments, the correct answer to the question “what is the probability of rolling another 6 given that I have rolled a 6 prior to it?” is indeed 16. This is because the die rolls are assumed (very reasonably so) to be independent of each other.

## What is the probability of rolling a sum of 12 on a six-sided dice?

Probabilities for the two dice

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 getting the 1st 6 on the 4th roll using a six-sided die?

There is a 5/6 probability that the first roll is not a 6. In that case, we need to see if the second roll is a 6. The probability of the second roll being a 6 is 1/6, so our overall probability is 1/6 + (5/6)*(1/6) = 11/36.

## What is the probability of rolling the same number 3 times?

Assuming a standard fair die, the probability that the second roll matches the first is 1/6; the probability that the second and third match the first is 1/36. So the probability of getting three rolls the same is 1/36.

## What is the probability of getting the same number on two dice?

When two dice are drawn there will be 36 combinations. However, for getting the same number on both die, there will be 6 possibilities which are (1,1),(2,2),(3,3),(4,4),(5,5) and (6,6). Hence, the required probability is 6/36 = 1/6.

## What is the probability of rolling the same number exactly 3 times with 5 six-sided dice?

There are 6^5 = 7776 total rolls so the probability is 0.1929

IT IS INTERESTING:  Can you stay anonymous after winning the lottery in DC? 