Question

At Elmo's, an old-fashioned barber shop in Melbourne, Florida, 66% of all customers get a haircut, 49% get a shave, and 40% get both.

a) What is the probability that a randomly selected person doesn't get a shave and doesn't get a haircut? Your answer should have at least 3 decimal places.

b) What is the probability that a randomly selected person gets a shave, given that they get a haircut? Your answer should have at least 3 decimal places.

Answer 1

From the information, observe that At Elmo's, an old-fashioned barber shop in Melbourne, Florida, there is 66% of all customers get a haircut, 49% get a shave, and 40% get both. The probabilities expressed as follows: P(Haircut)-0.66 P(Shave-0.49 P(Both) 0.40 a) Calculate the probability that a randomly selected person doesn't get a shave and doesn't get a haircut. P(No haircut nNo shave) - P No Haircut U No shave -1- P(Haircut shave) -1-P(Haircut)+ P(Shave) - P(Both 1-0.660.49-0.40 -1-0.75 -0.250 b) Calculate the probability that a randomly selected person gets shave, give that they geta haircut P(Shave | Haircut)- P(Both) P(Haircut) 0.40 0.66 - 0.606