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One-sixth of the male freshmen are from uptown areas. If the students are assigned at random to dormitories with 180 students to each dormitory, what

One-sixth of the male freshmen are from uptown areas. If the students are assigned at random to dormitories with 180 students to each dormitory, what is the probability that in each dormitory, at least one-fifth of the students are from uptown areas?

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