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Giving a test to a group of students, the grades and genders are summarized below. A B C Total 4 6 3 Total 14 24 7 Male 2 18 Female 12 24 21 Check Answer 45 If one student is chosen at random, find the probability that the student was female OR received a grade of "B". (Leave answer to four decimal places.)
A factory received a shipment of 45 generators, and the vendor who sold the items knows there are 5 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 5 generators is selected, find the probability that all in the sample are defective. If a sample of 5 generators is selected, find the probability that none in the sample are defective.