Question: A message can follow different paths through servers on a network. The sender's message can go to one of five servers for the first step;

A message can follow different paths through servers on a network. The sender's message can go to one of five servers for the first step; each of them can send to five servers at the second step each of those can send to four servers at the third step; and then the message goes to the recipient's server.

(a) How many paths are possible?

(b) If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?

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