What is the probability that when a break-in occurs that the first two alarms systems will go off, but not the third?
What is the probability that when a break-in occurs that the first two alarms systems will go off, but not the third?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
At a bank, there are 3 alarm systems that work independent of each other. The first alarm system will go off 98 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 78 percent of the time.
What is the probability that when a break-in occurs that the first two alarms systems will go off, but not the third?
Your answer should be a probability (not percent) given to 4 decimal places.
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