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A group of n people ( n 2 ) is randomly ordered to form a queue. (Every ordering of the n people is equally likely.) Two friends A and B are in this queue. a. What is the probability that the two friends are located one behind the other? b. What is the probability that the two friends are r places apart, i.e., separated by r 1 people, where r is an integer between 2 and n ? .

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A group of n people ( n 2 ) is randomly ordered to form a queue. (Every ordering of the n people is equally likely.) Two friends A and B are in this queue. a. What is the probability that the two friends are located one behind the other? b. What is the probability that the two friends are r places apart, i.e., separated by r 1 people, where r is an integer between 2 and n ?

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