Question #aa041

1 Answer
Apr 26, 2017

This is a counting exercise.

P(10)= 1/12

Explanation:

Since the dice (number cubes) each have six sides, there are:

6 * 6 = 36 possible outcomes for rolling two of them together.

Which of these add to 10?
6 + 4 = 10
5 + 5 = 10
4 + 6 = 10

The result 6 + 4 means the FIRST die showed 6, and the SECOND die showed 4.
The result 4 + 6 is just the opposite. Therefore, these are two separate outcomes.

There are 3 outcomes out of 36 that add to 10.

Therefore the probability is 3/36 which reduces to 1/12.