13. In a village of 21 inhabitants, a person tells a rumour to a second person, who in turn t repeats it to a third person, etc. At each step the recipient of the rumour is chosen at random from the 20e people available. Find the probability that the rumour will be told 10 times without: (i) returning to the originator ; (ii) being repeated to any person

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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13. In a village of 21 inhabitants, a person tells a rumour to a second person, who in turn t-
repeats it to a third person, etc. At each step the recipient of the rumour is chosen at random from the 20e
people available. Find the probability that the rumour will be told 10 times without :
(i) returning to the originator ;
(ii) being repeated to any person
Transcribed Image Text:13. In a village of 21 inhabitants, a person tells a rumour to a second person, who in turn t- repeats it to a third person, etc. At each step the recipient of the rumour is chosen at random from the 20e people available. Find the probability that the rumour will be told 10 times without : (i) returning to the originator ; (ii) being repeated to any person
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