A high school principal must select 12 girls at random from the freshman class to serve as

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A high school principal must select 12 girls at random from the freshman class to serve as hostesses at the junior-senior prom. There are 200 freshman girls, including 20 from minorities, and the principal would like at least one minority girl to have this honor. If he selects the girls at random, what is the probability that

(a) He will select exactly one minority girl?

(b) He will select no minority girls?

(c) He will select at least one minority girl?

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