Question: There are five components. The components act independently, with component i working with probability pi , i = 1 , 2 , 3 , 4

There are five components. The components act independently, with component i working with probability pi,
i =1,2,3,4,5. Component 1 links points A and C, component 2 A and D, component 3 C and D,
component 4 C and B, component 5 D and B. The system is said to work if a signal originating at point
A can reach point B, where it can pass through a component only if that component is working. What is the
probability that the system works?

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