In a high school graduating class of 100 stu- dents, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the proba- bility 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.

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Author:Amos Gilat
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• In a high school graduating class of 100 stu-
dents, 54 studied mathematics, 69 studied history, and
35 studied both mathematics and history. If one of
these students is selected at random, find the proba-
bility 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.
Transcribed Image Text:• In a high school graduating class of 100 stu- dents, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the proba- bility 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.
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