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Suppose a class has forty students, with twenty men and twenty women, including two women, Alice and Beth, and two men, Chuck and Dan. All
Suppose a class has forty students, with twenty men and twenty women, including two women, Alice and Beth, and two men, Chuck and Dan. All forty students have been randomly assigned into ten study groups of four students each.
a) What is the probability that Alice and Beth are both assigned to the same group?
b) If Alice's group has exactly two women, what is the probability that Alice and Beth are both assigned to the group?
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