(Solution) - Suppose that at a particular supermarket the probability of waiting -(2025 Original AI-Free Solution)

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Suppose that at a particular supermarket the probability of waiting 5 minutes or longer for checkout at the cashier's counter is .2. On a given day, a man and his wife decide to shop individually at the market, each checking out at different cashier counters. They both reach cashier counters at the same time.
a. What is the probability that the man will wait less than 5 minutes for checkout?
b. What is probability that both the man and his wife will be checked out in less than 5 minutes? (Assume that the checkout times for the two are independent events.)
c. What is the probability that one or the other or both will wait 5 minutes or longer?