Acertain 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) = 0.06 p(a1 ∪ a2) = 0.14 p(a1 ∪ a3) = 0.15 p(a2 ∪ a3) = 0.12 p(a1 ∩ a2 ∩ 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.)