Question: A binary three-hop communication system has transition probabilities i , i , and i (i = 1,2,3,4). Determine the transition probabilities for

A binary three-hop communication system has transition probabilities α_i, β_i, and γ_i (i = 1,2,3,4). Determine the transition probabilities for the overall three-hop system. Solve this problem two different ways. First, trace all possible paths from the input to the output and compute the probabilities for each path. Then solve this problem as a matrix multiplication.

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