If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?

Solution:

When two fair six-sided dice are rolled

We have to find the probability that the sum is 9 or higher

About 36 different combos are present for the two dice i.e. 6 possibilities for the first dice and 6 possibilities for the second.

Among the 36, 10 have the sum 9 or higher

3 and 6

4 and 6

4 and 5

5 and 4

5 and 5

5 and 6

6 and 3

6 and 4

6 and 5

6 and 6

The favorable outcomes are {(3,6),(4,6),(4,5),(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)}

Number of favorable outcomes = 10

Probability = 10/36 = 5/18

Therefore, the probability that the sum is 9 or higher is 5/18.

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If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?

Summary:

If you roll two fair six-sided dice, the probability that the sum is 9 or higher is 5/18.