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A laboratory rat is placed in a maze with two rooms, Room A and Room B. The transition diagram below shows the probability of the rat moving between rooms or staying in the same room every minute.
  1. If the rat is in Room A, what is the probability it moves to Room B in the next minute?
  2. If the rat is in Room B, what is the probability it stays in Room B in the next minute?
  3. Verify that the sum of probabilities leaving each state is equal to 1.

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