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An electrical system consists of four components as shown below. The system is working if components A and B are working and if one of

An electrical system consists of four components as shown below. The system is working if components A and B are working and if one of component C or D is working. The reliability (probability of operation) of each component is also given. We assume that the four components operate independently. 1. What is the probability that the whole system works? 2. What is the probability that component C does not work, being given that the whole system works?

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