An airline offers discounted "advance-purchase" fares to customers who buy more than 30 days before travel and charges "regular" fares for tickets purchased during those last 30 days. Company records show that 60% of customers take advantage of the "advance-purchase" fares and thus 40% purchase "regular" fares. The "no-show" rate among customers who purchased a "regular" fare is 30%, but only 5% of customers with "advance-purchase" fares are "no-shows".
A) What is the probability that a customer is a "no-show"?
B) Given that a customer is a "no-show", what is the probability that they had an "advance-purchase" fare?
