A total of 2n people, consisting of married couples, are randomly seated (all possible orderings being equally

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A total of 2n people, consisting of 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 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 large, that there are no married couples who are seated next to each other.

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