18. A group of 5 boys and 10 girls is lined up in random order that...

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18. A group of 5 boys and 10 girls is lined up in random order — that is, each of the 15! permutations is assumed to be equally likely.

(a) What is the probability that the person in the 4th position is a boy?

(b) What about the person in the 12th position?

(c) What is the probability that a particular boy is in the 3rd position?

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