In a bolt factory, machines `M_(1), M_(2) and M_(3)` manufacture respectively 2000, 2500 and 4000 bolts everyday. Of their output, `3%, 4%` and `2.5%` are defective bolts. One bolt is drawn at random from a day's production and is found to be defective. What is the probability that it was produced by machine `M_(2)` ?

Answer

`(5)/(13)`