Probability › Probability by counting › Seating and parking
Last passenger in assigned seat
High school · ●●●○○ 50 pts
One hundred passengers board a full flight in order, each with an assigned seat. The first passenger loses their boarding pass and picks a seat at random. Each later passenger sits in their assigned seat if it is free, and otherwise picks a seat at random from the remaining free seats. What is the probability that the last passenger sits in their assigned seat? Give the answer as a decimal.