Problem 1185

Find the absorbing state(s) for the transition matrix shown.

 

Solution:-

 

A state is an absorbing state of a Markov chain if P_ii=1. Thus, check the entries P_11,  P_22, and P₃₃ to see if any of them are equal to 1.

P₁₁ = 0.0

P₂₂ = 1.0

P₃₃ = 1.0

Since P₂₂ and P₃₃ equals 1, state 2 and 3 are absorbing state.