Question: The Laplace diffusion model: 2 boxes, the left containing N red balls, the right containing N black balls. At each time n=1,2,... a ball is

The Laplace diffusion model: 2 boxes, the left containing N red balls, the right containing N black balls. At each time n=1,2,... a ball is chosen uniformly from each box at random and placed in the other box. Xn = number of black balls in the left box at time n

How to show that limn E(Xn) =N/2

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