Alice, Bob, and 100 other people live in a small town. Let C be the set consisting of

Chapter 2, Problem 33

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Alice, Bob, and 100 other people live in a small town. Let C be the set consisting of the 100 other people, let A be the set of people in C who are friends with Alice, and let B be the set of people in C who are friends with Bob. Suppose that for each person in C, Alice is friends with that person with probability 1/2, and likewise for Bob, with all of these friendship statuses independent. (a) Let D C. Find P(A = D). (b) Find P(A B). (c) Find P(A [ B

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