At Elmo’s, an old-fashioned barber shop in Melbourne, Florida, 70% of all customers get a haircut, 40% get a shave, and 15% get both.
a. What is the probability that a randomly selected customer gets a shave or a haircut?
b. What is the probability that a randomly selected customer gets neither?
c. What is the probability that a randomly selected customer gets only a shave?
d. What is the probability that a randomly selected customer gets a shave, given that he gets a haircut?
e. Suppose two customers are selected at random. What is the probability that both get only a haircut?
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