Statistics Problem

<p>A certain transistor is manufactured at Three factories “A”, “B”, “C”. it is known that “A” factory produces twice as many transistors as “B”, which produces the same number as “C”. (during the same period). Experience shows that 0.2% of the transistors produced at “A” and “B” are faulty and so are 0.4% of those produced at “C”. A man while maintaining equipment, finds a defective transistor. What is the probability that “B” factory is to blame?</p>

<p>I need help with this problem with explanation.</p>