3. Three balls are divided between two containers. During each period a ball is randomly chosen and switched to other container. a) Find (in steady state) the fraction of the time that a container will contain 0,1,2,3 balls. b) If container 1 contains no balls, on average how many periods will go by before it again contains no balls. c) If container 1 contains balls, on average how many periods will go by before it contains 3 balls.

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