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Airplane Seat Paradox

Mediumlogic

This Medium puzzle in the “logic” category rewards careful reading and step-by-step reasoning. Use the hint if you are stuck, then compare your approach with the explained answer.

100 passengers board a plane with assigned seats.

The first passenger has lost their boarding pass and chooses a seat at random.

Every other passenger does the following:

  • If their own seat is free, they sit in it
  • If not, they choose a random free seat

What is the probability that the last passenger sits in their own seat?

Preparing…