Suppose that a pair of 14-sided dice are rolled (the sides are numbered 1-14 and yes, these do actually exist).
a) What is the probability that the sum of the dice is 17?
b) What is the probability that the sum of the dice is at least 24?
c) What is the probability that the sum is odd given that exactly one of the dice is even?
d) What is the probability that the sum is 11 given that neither of the dice is a 5?
e) What is the probability that the sum is 12 or exactly one of the dice is a 8 (or both)?