A pair of fair dice is tossed once. If the sum of the two numbers is greater than 9, the probability that one of the numbers is a 6 = ?

Question

Does any one knows answer for this question related to probability?

A pair of fair dice is tossed once. If the sum of the two numbers is greater than 9, the probability that one of the numbers is a 6 = ?

A. 2/3

B. 5/6

C. 1/6

D. 1/2

E. 1/3

Answer 1

There are 36 possibilities for the roll of 2 die but out of those 36, there are only 6 where the sum is greater than 9:

Out of those 6 possibilities, only 1 does NOT have a six (a pair of fives). So the probability that, given the sum is greater than nine, that one of the numbers is a six is 5/6