Assume that you have three computers and two sensors in a subway train. If all three computers and one or both sensors fail, then the subway train is uncontrolled. If the probability of a computer failing is p and the probability of a sensor failing is q at any given time interval, what is the probability of the subway train becoming uncontrolled in any given time interval? Assume that failures are independent.

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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Assume that you have three computers and two sensors in a subway train. If all three computers and one or both sensors fail, then the subway train is uncontrolled. If the probability of a computer failing is p and the probability of a sensor failing is q at any given time interval, what is the probability of the subway train becoming uncontrolled in any given time interval? Assume that failures are independent.  

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