About this question

Drunk Passenger Seat Probability

Medium · Conditional Probability · Quant Trader interview question · probability, conditional-probability, brainteaser, mental-math

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?