Question 1
Two factories “A” and “B” produce radios. Each radio produced at factory-A is defective with probability 0.05, whereas each radio produced at factory-B is defective with probability 0.1. You purchase two radios that were produced in the same factory (which is equally likely to have been either factory-A or factory-B). If the first radio that you check is defective, what is the conditional probability that the second radio is also defective? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “0.456” then enter it as “0.46”)