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5) The probability that an American industry will locate in Shanghai, China, is 0.7. The probability that it will locate in Beijing, China, is 0.4. The probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate in both cities? (b) in neither city?
6) In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics.