Drunk Passenger Seat Probability - Quant Trader Interview Question
Difficulty: Medium
Category: Conditional Probability
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Topics: probability, conditional-probability, brainteaser, mental-math
Problem Description
A flight has 100 passengers, each assigned a specific seat. The first passenger is drunk and chooses a seat at random. Subsequent passengers board one at a time, and each passenger takes their assigned seat if it is available. If their assigned seat is taken, they choose a seat at random from the remaining available seats.
What is the probability that the 100th passenger sits in their assigned seat?
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