In a particular area 30% of men and 20% of women are overweight and there are four men and three women working in an office there. Find the probability that there are 2 overweight people in the office.
What I have done: P(Two fat men in the office)*P(no fat women in the office) + P(two fat women in the office)*P(no fat men in the office) + P(one fat man in the office)*P(one fat women in the office) Solved this by binomial The final answer I got: 0.3396. Book's answer is 0.317
Where have I made a mistake?