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 =

Answer 1

Knowing that the sum is greater than 9, there are only 4 possibilities:

46
55
56
66

Looks like p=3/4

Answer 2

Rolling two standard 6-sided dice, there is 1 way to get a sum of 12, 2 ways to get a sum of 11, and 3 ways to get a sum of 10. That’s 6 out 36 possible outcomes for a probability of 1/6.