A flea moves around the vertices of a triangle in the following manner: Whenever it is...

A flea moves around the vertices of a triangle in the following manner: Whenever it is at vertex i it moves to its clockwise neighbor vertex with probability p_i and to the counterclockwise neighbor with probabilityq_i=1-p_i,i=1,2,3
a) Find the proportion of time that the flea is at each of the vertices.
b)How often does the flea make a counterclockwise move, which is then followed by 5 consecutive clockwise moves?

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orchestra answered 1 year ago

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