A certain federal agency employs three consulting firms; A, B and C. The probability that the federal agency employs company A is .40, company B is .35 and company C is .25 respectively. From past experience it is known that the probability of cost overruns given the consulting firm is employed is.05 for company A, .03 for company B and .15 for company C. Suppose a cost overrun is experienced by an agency


(a) What is the probability that the consulting firm involved is company
(b) What is the probability that it is company