2.61 In a high school graduating class of 100 stu-dents, 54 studied mathematics, 69 studied history, and35 studied both mathematics and history. If one ofthese 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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Description: 2.61 In a high school graduating class of 100 stu-dents, 54 studied mathematics, 69 studied history, and35 studied both mathematics and history. If one ofthese students is selected at random, find the proba-bility that(a) the student took mathematic

A: Mathematics B: History P(A) = 54/100 = 0.54 P(B) = 69/100 = 0.69 P(A and B) = 35/100 = 0.35

Answered: (a) the student took mathematics or…

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(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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2.61 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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