Now, if the first die shows 4 there is only one way to make the sum of both dice equal 7 which means P(A ∩ B) = 1 36 . Therefore, the probability that the first die shows 4 given that the sum is 7 is P(A|B) = P(A ∩ B) P(B) = 1/36 6/36 = 1 6 .

## What is the probability the sum of the four dice equals 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 rolling a sum of 7?

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 getting Number 7 If a die is rolled?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

6 | 15/36 (41.667%) |

7 | 21/36 (58.333%) |

8 | 26/36 (72.222%) |

9 | 30/36 (83.333%) |

## What is the probability of rolling a sum of 5 with 4 dice?

The only way to get a sum of 5 is to get three 1’s and one 2. So there are 4 ways to get that 2 with the other three 1’s, and a sum of 5. There are 6 ways each die can land so there are 6^4 or1296 ways for the dice to land. So the probability is **5/1296**.

## What is the probability of rolling a sum of 7 and 11?

What is the probability that the sum will be a 7 or 11? There are 36 possible outcomes for the two dice. So, the probability is **8/36 = 2/9**.

## What is the probability of rolling a sum of 4 or 10?

This is 2/36 as there are 36 possible rolls with (4,6) and (6,4) the only rolls whose sum is 10 with a 4. P(A) is the probability of rolling a 10. This is **3/36** as there are 36 possible rolls, three of which sum to 10. (4,6),(5,5),(6,4).

## What is the probability of 7 and 15?

7 to 15 probability

There is a **31.82 percent probability** of a particular outcome and 68.18 percent probability of another outcome.

## What is the probability of rolling a sum?

The combinations for rolling a sum of seven are much greater (1 and 6, 2 and 5, 3 and 4, and so on). To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of **1/18**.

## When a single die is rolled what is the probability of getting less than 5?

∴ Probability of getting a number less than 5 is=**64=32**.