a particle moves on a circle through points which have been marked 0,1,2,3,4 (in a clockwise order) .

a particle moves on  a circle through points which have been marked 0,1,2,3,4 (in a clockwise order) .At each step it has a probability p of moving to the right (clockwise ) and 1-p to the left (counter clockwise).let Xn denote its loction on the circle after the nth step .The process {Xn,n>=0} is a Markov chain .(a) find the transition probability matrix .(b)calculate the limiting probablities