In a bolt factory, machines `M_(1), M_(2), M_(3)` manufacture respectively 25, 35 and 40 percent of the total product. Of their output 5, 4 and 2 percent respectively are defective bolts. One bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine `M_(3)` ?

Answer

`(16)/(69)`