4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36 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. 5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?
4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36 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. 5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Transcribed Image Text:4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36
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.
5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not
distinguish among trees of the same kind?
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