4. 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.
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1
Answer:
(a)35
_______
100
(c) 69
______
100
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