Question: Suppose we define a probabilistic event so that V (i, 0) = 1 and V (0, j)=0, for all i and j, and V (i,

Suppose we define a probabilistic event so that V (i, 0) = 1 and V (0, j)=0, for all i and j, and V (i, j), for i, j ≥ 1, is defined as 

V (i, j)=0.5V (i − 1, j)+0.5V (i, j − 1). 

What is the probability of the event, V (2, 2)?

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