Mathematics, 15.03.2022 23:40 kwhitt

One hundred people line up to board an airplane. Each person has a boarding pass with an assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes their assigned seat if it is unoccupied, or one of the unoccupied seats at random if it is occupied. What is the probability that the last person to board gets to sit in their assigned seat

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