Two pumps connected in parallel fail independently ofone another on any given day. The probability that onlythe older pump will fail is .10, and the probability thatonly the newer pump will fail is .05. What is the probabilitythat the pumping system will fail on any given day(which happens if both pumps fail)?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Two pumps connected in parallel fail independently of
one another on any given day. The probability that only
the older pump will fail is .10, and the probability that
only the newer pump will fail is .05. What is the probability
that the pumping system will fail on any given day
(which happens if both pumps fail)?

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