What is the probability that the message follows the, Basic Statistics

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What is the probability that the message follows the

On a 2-D regular (not wrapped-around) mesh, a message from a source (X_s, Y_s) is to be sent to a destination (X_d, Y_d). If any shortest path can be used, what is the probability that the message follows the shortest path which would be selected by the X-Y routing algorithm?

Derive the probability in terms of X_s, X_d, Y_s and Y_d.

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