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A school offers three types of clubs: sports, arts, and gaming. By the end of the...

A school offers three types of clubs: sports, arts, and gaming. By the end of the first week of school 200 students signed up. Some students signed up for more than one club. There were 140 signups for sports, 46 signups for arts, and 44 signups for gaming. There were 22 students that signed up for sports and arts, 8 students that signed up for arts and gaming, 14 students that signed up for gaming and sports, and 14 students that signed for all three clubs.
(a) If a student is chosen at random, what is the probability that the student is in only one club?
(b) If 4 different students are chosen at random, what is the probability that at least one student is in two or more clubs?
Math   Statistics-And-Probability   
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