Question: A box initially contains 3 red balls and 1 black balls. At the time instant n21, a ball is selected at random from the box

 A box initially contains 3 red balls and 1 black balls.

A box initially contains 3 red balls and 1 black balls. At the time instant n21, a ball is selected at random from the box and is replaced with a ball of the opposite color. Let Xn, n20 be the number of red balls in the box after n time instants. For this Markov chain, find P(X2=21X1=1)

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