If two fair dice are​ rolled, find the probability that the sum of the dice is 10​, given that the sum is greater than 8.

Question

If two fair dice are​ rolled, find the probability that the sum of the dice is

10

given that the sum is greater than

8

Answer 1

start with all the outcomes when sum is more than 8

these are 5,4. 5,5 5,6 4,5 4,6 6,3 6,4 6,5 6,6

that is nine possible rolls

3 of these give you 10

so prob is 3/9 or 1/3