Elizabeth has two identical number cubes. both cubes have faces number one through six. if Elizabeth rolls each cube months what is the probability that the sum of the numbers on the top faces will be 10?

A. 1/36

B. 1/12
C. 1/10
D. 1/9

I think B as well.

To find the probability of getting a sum of 10 when rolling two identical number cubes, we need to determine the number of favorable outcomes (getting a sum of 10) and the total number of possible outcomes.

First, let's find the favorable outcomes. We can use a table to list all the possible combinations:

Cube 1 | Cube 2
--------------
4 | 6
5 | 5
6 | 4

We have three favorable outcomes: (4, 6), (5, 5), and (6, 4). The sum of the numbers on the top faces in each case is indeed 10.

Now let's find the total number of possible outcomes. Since there are six faces on each cube, there are 6 possible outcomes for each cube. Since we are rolling two identical cubes, the total number of possible outcomes is 6 * 6 = 36 (6 outcomes for the first cube multiplied by 6 outcomes for the second cube).

Therefore, the probability of obtaining a sum of 10 is the ratio of favorable outcomes to total outcomes:

Probability = Favorable outcomes / Total outcomes
= 3 / 36
= 1 / 12

So, the probability of rolling two identical number cubes and getting a sum of 10 is 1/12.