The number shown next to each link of the network in fig is, Dissertation

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The number shown next to each link of the network in fig is

Question: The number shown next to each link of the network in Fig. is the probability of the link failing during the lifetime of a virtual circuit from node A to node E. It is assumed that links fail independently of each other. Find the most reliable path from A to E, that is, the path for which the probability that all its links stay intact during the virtual circuits lifetime is maximal. What is this probability?

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Dissertation: The number shown next to each link of the network in fig is

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