Question: ( 2 0 points ) The number shown next to each link of the network below is the probability of the link failing during the

(20

points

)

The number shown next to each link of the network below is the probability of the link failing during the lifetime of a virtual circuit from node A to node B

.

It is assumed that links fail independently of each other. Find the most reliable path from A to

B,

that is

,

the path for which the probability that all its links stay intact during the virtual circuit's lifetime is maximal. What is this probability? Justify your answer.

( 2 0 points ) The number shown next to each link

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