In a city with n + 1 inhabitants, a person tells a rumor to a second person,
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In a city with n + 1 inhabitants, a person tells a rumor to a second person, who then repeats it to a third person, and so on. At each step, the person who tells the rumor chooses the next recipient at random among the n people available.
Find the probability that the rumor will be told r times without
(i) returning to the first person;
(ii) being repeated to any person.
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Related Book For
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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