In a factory which manufactures bolts, machines $A$, $B$ and $C$ manufacture respectively $25\%$, $35\%$ and $40\%$ of the bolts. Of their output $5\%$, $4\%$ and $2\%$ are respectively defective bolts. $A$ bolt is drawn at random from the total production and is found to be defective. Find the probability that it is manufactured by machine $B$.