# When 3 dice are rolled find the probability of getting a sum of at least 15 list the favorable outcomes?

Contents

= 91/216.

## What is the probability of rolling two dice and getting a sum of at least 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 rolling two dice and getting a sum of at least 10?

When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.

## What is the probability of rolling 3 dice?

Two (6-sided) dice roll probability table

Roll a… Probability
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)

## What is the probability of getting at least one 6 when 3 dice are rolled?

Question: What is the probability of getting at least one six in a single throw of three unbiased dice? Answer: The probability of getting either 1 or 2 or 3 or 4 or 5 when one dice is thrown is 5/6 x 5/6 x 5/6 for 3 dices = 125/216. This is the probability of getting at lease one 6 when 3 dices are thrown.

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## What is the probability of getting a sum of 7 with two dice?

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 chance of throwing at least 7?

Now, we need at least 7. So, the sum of the numbers on the dice must be greater than or equal to 7. Here, we can clearly see that the total number of favourable outcomes is 21. Thus, the chance of throwing at least 7, in a single throw, using two dice is \$dfrac{text{7}}{text{12}}\$ .