Three machines a, b and c in a factory produce 40%, 35% and 25% of the products, respectively. out of their output, 8%, 10% and 5% are defective, respectively.

Three machines A, B and C in a factory produce 40%, 35% and 25% of the products, respectively. Out of their output, 8%, 10% and 5% are defective, respectively. An item is selected at random from the total output and checked. Determine the probability that it is good. Given that it is good, evaluate the probability that selected item was made by machine C.