**Contents**show

## What is the probability of rolling two dice and getting a sum of 2?

Probabilities for the two dice

Total | Number of combinations | Probability |
---|---|---|

2 |
1 |
2.78% |

3 | 2 | 5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

## What is the probability of rolling a sum of 9 with two dice?

The probability of getting 9 as the sum when 2 dice are thrown is **1/9**.

## What is the probability that when two dice are rolled the sum of the numbers on the two dice is 7?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.

## What is the probability of getting neither total of 7 nor 11 when the pair of dice is tossed?

Therefore Probablity of sum neither 7 nor 11 is **7/9**.

## What is the probability that you obtain a sum of 7 or a sum of 11 on the first roll?

For example, since a 7 or an 11 is a winner on the first roll and their probabilities are 6/36 and 2/36, the probability of winning on the first roll is 6/36+2/36=**8/36**.

## What is the probability of throwing a total of 8 or 11 in a single throw with two dice?

Hence, The required probability is **5/36** .

## How many outcomes have a sum of at least 9?

(ii) two numbers appearing on them whose sum is 9. Therefore, total number of possible outcomes = **36**.