Three white and three black balls are distributed in two urns in such a way that each contains three white balls.we say that the system is in state i,i=0,1,2,3,if the urn contains i white balls.at each step,we draw one ball from each urn and place the ball drawn from the first urn into the second and conversely with the ball from the second urn. let Xn denote the state of the system after the nth step.calculate its transition probability matrix.