A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true.

P(A1) = 0.12 P(A2) = 0.08 P(A3) = 0.05P(A1 U A2) = 0.14 P(A1 n A3) = 0.14P(A2 U A3) = 0.11 P(A1 n A2 n A3) = 0.01
(a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal places.)