Two unbiased dice

Concept Used:
.
To find: Probability of the sum of the number on dice to be greater than 10.
Explanation:
Sample space of throwing a pair of dice is:

Sample space, n(S) = 36
let E be the number of events of getting sum higher than 9 i.e getting 10,11, and 12.
The pairs are: (4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)
then n(E) = 6

We know:

So,

Hence, the probability of getting sum more than 9 is 1/6.