8. In a college 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 takes mathematics or history

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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8. In a college 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 takes mathematics or history
b) The student does not take either of these subjects
c) The student takes history but not mathematics
Transcribed Image Text:8. In a college 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 takes mathematics or history b) The student does not take either of these subjects c) The student takes history but not mathematics
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