There are 11 men, 15 women, and 14 children on a harbour cruise boat. Eight passengers are selected at random to win special prizes. a) what is the probability that the winners are all children? b) what is the probability that exactly two are children? c) what is the probability that exactly three are children and two are women? d) what is the probability that at most two men are selected? e) what is expected number of winners who are i) men? ii) women? iii) children