In a bolt factory machines A, B, and C manufacturers respectively 25%, 35% and 40% of the total. Of their output 5, 4 and 2 percent are defective bolts. A bolt is drawn at randomly from the product...

In a bolt factory machines A, B, and C manufacturers respectively 25%, 35% and 40% of the total. Of their output 5, 4 and 2 percent are defective bolts. A bolt is drawn at randomly from the product and is found to be defective. What are the probabilities that it was manufactured by machines A B, and C ?