Populations shifts in a certain city follow a particular pattern every year. if a person is living in the city they will stay in the city 50% of the time, move to the suburbs 50% of the time, and move out-of-state 0% of the time. if a person is living in the suburbs, they will move into the city 50% of the time, stay in the suburbs 30% of the time, and move out-of-state 20% of the time. if the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 80% of the time, and stay out-of state 10% of the time.

1. in the long-run what is the probability that a person will live out-of-state?