The table shows the outcomes of rolling two number cubes at the same time and finding the product of the two numbers. What is the theoretical probability of rolling a product greater than 10?

1 2 3 4 5 6

1 2 3 4 5 6

2 4 6 8 10 12

3 6 9 12 15 18

4 8 12 16 20 24

5 10 15 20 25 30

6 12 18 24 30 36

A:3/4

B:10/36

C:17/36

D:19/36

Correct option: C: 17/36

Step-by-step explanation:

To solve this problem, first we need to find the pairs of numbers, from one to six, that the product will be a number greater than 10:

(2,6), (3,4), (3,5), (3,6), (4,3), (4,4), (4,5), (4,6), (5,3), (5,4), (5,5), (5,6), (6,2), (6,3), (6,4), (6,5), (6,6).

We have 17 pairs of numbers.

The total number of pairs than we can have rolling two number cubes, as each one has 6 numbers, is 6*6 = 36

So the probability we want is the number of pairs with product greater than 10 (17 pairs) over the total number of pairs (36):

P = 17/36

Correct option: C