11. Elizabeth has two identical number cubes. Both cubes have faces numbered 1 through 6. If Elizabeth rolls (1 point) each cube once, what is the probability that the sum of the two numbers on the top faces will be 10?

Answer 1

There are 36 possible outcomes (6 outcomes for the first cube and 6 outcomes for the second cube).

To get a sum of 10, Elizabeth can roll:

- 4 on the first cube and 6 on the second cube
- 5 on the first cube and 5 on the second cube
- 6 on the first cube and 4 on the second cube

Therefore, there are 3 favorable outcomes.

The probability of getting a sum of 10 is:

3 favorable outcomes / 36 possible outcomes = 1/12