Question

Two different television factories produce LED TV. While 0.10 of the televisions produced in the first factory (factory A) are incorrect, 0.05 of the televisions produced in the second factory (factory B) are incorrect. Suppose you bought a television at an electronics store and the probability that it was produced at the A or B factory is equal.
a) What is the probability that this television will be produced in factory B in case the TV you bought is faulty?
b) When you go back to the electronics store to change the television because the television turned out to be faulty, the sales representative says that the televisions that are in their hands are produced in the same factory with the faulty television, but they do not know which factory they are in. In this case, what is the probability that the second television you bought will be at fault?

Answer 1