The probability of Christine getting a new job or going on vacation (or both) is .85. If the probability of Christine going on vacation is .10 and the probability of Christine getting a new job is .75, are the events “Christine gets a new job” and “Christine goes on vacation” mutually exclusive? Justify your answer.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The probability of Christine getting a new job or going on vacation (or both) is .85. If the probability of Christine going on vacation is .10 and the probability of Christine getting a new job is .75, are the events “Christine gets a new job” and “Christine goes on vacation” mutually exclusive? Justify your answer.

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P(getting a new job or going on vacation ) = 0.85

P(going on vacation) = 0.10

P(getting a new job) = 0.75

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