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Suppose that n people are to be randomly arranged. Two of them, Alice and Bob are friends and hope to be seated next to each

Suppose that n people are to be randomly arranged. Two of them, Alice and Bob are friends and hope to be seated next to each other.

(a) What is the probability that Alice and Bob end up sitting next to each other if the n people are arranged in a line? (b) What would the probability be if the people are randomly arranged in a circle?

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