**Contents**show

## What is the probability that both dice show the same number?

The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is **1/6 x 1/6 = 1/36**. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

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

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

## What is the probability of rolling a pair of ones?

Since there are six possible outcomes, the probability of obtaining any side of the die is **1/6**. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

## What is the probability of getting a prime number from 1 to 100?

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Hence, the probability of the event that a number chosen from 1 to 100 is a prime number .

## What is the probability of rolling a sum of 3?

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%

## When two dices are thrown what is the probability of not appearing the same number on the dices?

The probability of rolling a specific number twice in a row is indeed **1/36**, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).

## What is the probability of getting 9 in a single throw of a dice?

= 4 / 36 = **1/9**.