Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent.
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Transcribed Image Text:Consider the communication network shown in the figure below and suppose that each
link can fail with probability p. Assume that failures of different links are independent.
Link 1
A
Link 3
Link 2
Link 4
Link 5
B
(a) Assume that p = 1/3. Find the probability that there exists a path from A to B
along which no link has failed.
(b) Given that exactly one link in the network has failed, find the probability that there
exists a path from A to B along which no link has failed
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