Question: 30. You get on an elevator on the first floor of a building with 10 floors. You push the button for the fifth floor. A

30. You get on an elevator on the first floor of a building with 10 floors. You push the button for the fifth floor. A random person gets on before the door closes and chooses a floor. What is the probability that the other person gets off the elevator before you? (Assume you exit together if you go to the same floor.) O
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