Consider the following segment attached of an electric circuit with three relays

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Consider the following segment attached of an electric circuit with three relays. Current will flow

from a to b if there is at least one closed path when the relays are switched to

Consider the following segment attached of an electric circuit with three relays. Current will flow from a to b if there is at least one closed path when the relays are switched to "closed." However, the relays may malfunction. Suppose they close properly only with probability 0.9 when the switch is thrown, and suppose they operate independently of one another. Let A denote the event that current will flow from a to b when the relays are switched to "closed." Find P(A) Find the probability that relay 1 is closed properly, given that current is known to be

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