# Question

A total of 2n people, consisting of n married couples, are randomly seated (all possible orderings being equally likely) at a round table. Let Ci denote the event that the members of couple i are seated next to each other, i = 1, . . . , n.

(a) Find P(Ci).

(b) For j ≠ i, find P(Cj|Ci).

(c) Approximate the probability, for n large, that there are no married couples who are seated next to each other.

(a) Find P(Ci).

(b) For j ≠ i, find P(Cj|Ci).

(c) Approximate the probability, for n large, that there are no married couples who are seated next to each other.

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