What is the probability that when a break-in occurs that only one alarm system will go off?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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At a bank, there are 3 alarm systems that work independent of each other. The first alarm system will go off 99 percent of the time for a break-in. When there is a break-in, the second alarm system goes off 93 percent of the time. The third alarm system goes off only 81 percent of the time.

What is the probability that when a break-in occurs that only one alarm system will go off?

Your answer should be a probability (not percent) given to 4 decimal places.

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