Suppose a process has 3 possible states labeled 1, 2, and 3, and that every hour, it makes a transition to a different state. From state 1, transitions to states 2 and 3 are equally likely. From state 2, transitions to states 1 and 3 are equally likely. From state 3, it always makes a transition to state 1. Find the steady-state distribution. Enter the three steady-state probabilities π1,π2, and π3 as ⟨π1,π2,π3⟩ using the boxes below. Enter exact answers (you may have to use fractions).
