In a bolt factory, three machines A, B, C manufacture 25%, 35% and 40% of the total production respectively. Of their respective outputs 5%, 4% and 2% are defective. A bolt is drawn at random from the total product and it is found to be defective. What is the probability that it was manufactured by machine C?
1
\(\frac{14}{39}\)
2
\(\frac{16}{69}\)
3
\(\frac{7}{60}\)
4
\(\frac{11}{64}\)