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