Find the stable distribution (as done in example 1) for markov chains with the following transition matrices

[1/3 1/3 0 0 0 0] [2/3 2/3 0 0 0 0]
[2/3 1/3 1/3 0 0 0] [1/3 1/6 2/3 0 0 0]
[0 1/3 1/3 1/3 0 0] [0 1/6 1/6 2/3 0 0]
(a) [0 0 1/3 1/3 1/3 0] (b) [0 0 1/6 1/6 2/3 0]
[0 0 0 1/3 1/3 2/3] [0 0 0 1/6 1/6 2/3]
[0 0 0 0 1/3 1/3] [0 0 0 0 1/6 1/3]

Thus our stable distribution is
P* = [.1,.2,.2,.2,.2,.1]