You roll two fair dice. Let A be the event that the sum of thedice is an even number. Let B be the event that the two results aredifferent.
(a) Given B has occurred, what is the probability A has alsooccurred?
(b) Given A has occurred, what is the probability B has alsooccurred?
(c) What is the probability of getting a sum of 9?
(d) Given that the sum of the pair of dice is 9 or larger, findthe probability that the sum of the pair of dice is exactly 10.
