Indian Institute of Foreign Trade 2014 Solved Paper

In the MBA Programme of a B-School, there are two sections A and B, 1/4${}^{\mathrm{th}}$ of the students in Section A and 4/9${}^{\mathrm{th}}$ of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl is: