A Markov chain with transition probability matrix P = (p ij ) is called regular, if for some positive integer n, for all i and j . Let {X n : n = 0, 1,...} be a Markov chain with state space {0, 1}...

A Markov chain with transition probability matrix P = (p_ij) is called regular, if for some positive integer n,

for all i and j . Let {X_n
: n = 0, 1,...} be a Markov chain with state space {0, 1} and transition probability matrix

Is {X_n
: n = 0, 1,...} regular? Why or why not?