Mathematics, 20.09.2019 16:30 19youngr
Here are 100 seats on an airplane, and each of 100 passengers has a ticket for a different seat. the passengers line up to board the plane, but just before boarding, the first passenger loses his ticket. since he has no idea where to sit, he chooses aseat uniformly at random from the 100 seats. each subsequent passenger first goes to their assignedseat. if that seat is empty, then they sit down, but if it is occupied then they choose a seat at randomfrom the remaining empty seats. this proceeds until the last person boards the plane. what is the probability that the last person gets to sit in their assigned seat?
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