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If ten students are in a club where 5 are pro-vaccination, 3 are indifferent towards vaccination and 2 are anti-vax. After the club meeting, a

If ten students are in a club where 5 are pro-vaccination, 3 are indifferent towards vaccination and 2 are anti-vax. After the club meeting, a random pair gets on the elevator. If A represents the number of students in the pair who are anti-vax: (a) What is the probability A is at least one? (b) What is the expectation of A? (c) What is the variance of A?

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