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5. There are 11 men. 15 women, and 14 children on a harbour cruise boat. Eight passengers are selected at random to win special prizes.

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5. There are 11 men. 15 women, and 14 children on a harbour cruise boat. Eight passengers are selected at random to win special prizes. 3) What is the probability that the winners are all children? [1A] b) What is the probability that exactiy two are children? [2A] c) What is the probability that exacuy three are children and two are women? [2A] d) What is the probability that at most two men are selected? [31'] e) What is the expected number of winners who are i) men? ii) women? iii) children? [2A]

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