Question: Random Box problem. A box contains 3 marbles. Two of them are red and one is yellow. Each time a marble is picked at random,
Random Box problem.

A box contains 3 marbles. Two of them are red and one is yellow. Each time a marble is picked at random, and is replaced with a red marble with probability = and a yellow marble with probability =. Let X, denote the number of red marbles in the box. Is there a steady-state distribution? If so, find the steady-state distribution
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