A test procedure for diagnosing faults in circuits indicates no fault with probability 0.99 if the circuit is faultless. It indicates a fault with probability 0.90 if the circuit is faulty. Let the probability that a circuit is faulty be 0.02.
(1) What is the probability that a circuit is faulty if the test procedure indicates a fault?
(2) What is the probability that a circuit is faultless if the test procedure indicates that it is faultless?
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