# What is the probability that two dice land on the same number?

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## What is the probability that the dice show the same numbers?

The probability for exactly 3 identical numbers is (53)⋅6⋅52⋅6−5=250⋅6−4, since we can choose the 3 dice in (53) ways, choose 1 of 6 numbers for them and choose 1 of the remaining 5 numbers for each of the two remaining dice.

## What is the chance of two dice both landing on 6?

Probabilities for the two dice

Total Number of combinations Probability
4 3 8.33%
5 4 11.11%
6 5 13.89%
7 6 16.67%

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

The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.

## 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 getting the same number on five dice?

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there’s a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

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## What is the probability of getting 5 or 6 on a single throw?

Probability of rolling a certain number or less with one die

Roll a…or less Probability
3 3/6 (50.000%)
4 4/6 (66.667%)
5 5/6 (83.333%)
6 6/6 (100%)