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 0% of the time, move to the suburbs 50% of the time, and move...

Extracted text: 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 0% of the time, move to the suburbs 50% of the time, and move out-of- state 50% of the time. If a person is living in the suburbs, they will move into the city 20% of the time, stay in the suburbs 50% of the time, and move out-of-state 30% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and stay out-of state 80% of the time. In the long-run, what is the probability that a person will live out-of- state?