Consider the portion of an electric circuit with three relays shown in Figure 2.3. Current will flow from point a to point b if at least one of the relays closes properly when activated. The relays may malfunction and not close properly when activated. Suppose that the relays act independently of one another and close properly when activated with probability 0.9.

(a) What is the probability that current will flow when the relays are activated?
(b) Given that current flowed when the relays were activated, what is the probability that relay 1 functioned?

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