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Alice, Bob, and 4 other students will be randomly seated around a circular table. Each of the six seats are numbered, from 1 to 6;
Alice, Bob, and 4 other students will be randomly seated around a circular table. Each of the six seats are numbered, from 1 to 6; let X be Alice's seat number, and let Y be Bob's seat number. Suppose Alice will pass a handwritten note to Bob around the table in whichever direction ends up being closest. What is the expected value of the number of seats that the message will have to be passed across?
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