A Discrete Time Markov Chain with three states{1,2,3}

has the following one-step transition probabilities:

p₁₂ =1,

p₂₂= p₃₃ =1/2,

p₂₁=p₃₂=0

Determine the numerical values for the steady-state distribution(1,2,3)

choices:

(1/4, 1/2, 1/4)

(1/3, 1/3, 1/3)

(1/5, 2/5, 2/5)

(2/3, 1/9, 2/9)

(1/2, 1/4, 1/4)

(1/9, 2/3, 2/9)