A total of 4 white balls and 6 black balls are distributed among two urns, urnA and urn B, with each urn containing 5 balls. At each stage, a ball is randomly selected fromeach urn and the two selected balls are interchanged (and returned to the urns). Let Xn denotethe number of black balls in urn A after the nth interchange.Find the limiting probabilities pik.
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