Question

Can you please explain in details?

In order to avoid runs of good luck for the player, a fruit machine owner alters his machine in the following way. If W denotes 'win'for the player and L denotes 'lose', then on any given play the probability of W is arranged to be W (state WW) 0.1 0.3 0.2 0.5 and the play before that was u (state LW) (state WL) play asL W L state LL) If Xn denotes the outcome of the n-th play, prove that the sequence of random vectors is a Markov chain. Describe its transition matrix

Answer 1