If two fair dice are​ rolled, find the probability that the sum of the dice is 8​, given that the sum is greater than 3

Answer 1

There are 36 (6*6) possible combinations but since it's given that their sum is greater than 3, that eliminates 3 of them (1-1,1-2 and 2-1) which leaves 33 possible combinations.

There are 5 ways to get a sum of 8 (2-6, 3-5, 4-4, 5-3 and 6-2).

So, the probability is 8/33 or roughly 24 1/4%