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You go to the Studentsâ Union to buy a piece of fruit. They have apples, oranges, bananas, pears and nectarines for sale. The probability that you buy a pear is three times the probability that you buy a nectarine; the probability that you buy an apple is twice the probability that you buy a nectarine; the probability that you buy a banana is twice the probability that you buy an apple; the probabilities of buying an apple and the probability of buying an orange are equal. You are certain to buy exactly one piece of fruit. Find the probability that you buy a banana.
