Question: A box initially contains two red balls and two blue balls. At each turn, one of the balls within the box is selected at random

A box initially contains two red balls and two blue balls. At each turn, one of the balls within the box is selected at random and then replaced together with another ball of the opposite color.
(a) After three turns, what is the of the number of red balls in the box?
(b) After three turns, what are the expectation and variance of the number of red balls in the box?

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