An indecisive diner enters a restaurant and is taken to a round table with five chairs. Unable to decide which chair is best, the diner switches every minute, moving clock- wise with probability p and counterclockwise with probability 1 - p. We can then consider a Markov chain Xn, the number of the chair occupied at time n, in minutes. Show that the condition ensuring a limiting distribution holds in this case. What is the limiting distribution? What can you say if there are four chairs rather than five?