Question

Question #aa041

Answer 1

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`.