There are three local factories that produce radios. Each radio produced at factory A is defective withprobability .02, each one produced at factory B is defective with probability .01, and each one producedat factory C is defective with probability .05. Suppose you purchase two radios that were produced atthe same factory, which is equally likely to have been any factory. Given the first radio that you checkis defective, find the probability that the other one is also defective.