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

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34. 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 probabilityI mage and to the counterclockwise neighbor with probability .

(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 that is then followed by five consecutive clockwise moves?

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