Suppose that among diet soda drinkers 70% like Diet Coke, 60% like Diet Pepsi, and 50% like both. (a) Given that a randomly sampled person from this population likes Diet Pepsi, what's the probability that the person also
likes Diet Coke?
(b) What is the probability that a randomly selected person from this population likes neither?
(c) Are the two events A = {likes Diet Pepsi) and B = {likes Diet Coke) disjoint? Explain.