In a village, there are three mohallas A, B and C. 60% farmers in mohalla A believe in new technology of agriculture, while in B it is 70% and in C is 80%.

District agricultural officer selects a farmer at random and he found that the farmer believed in new technology of agriculture, then the probability that he belongs to mohalla B is:

$\frac{1}{3}$

The correct answer is Option (4) → $\frac{1}{3}$