What is the probability that the last person to board an airplane gets to sit in their assigned seat?
Two hundred people line up to board an airplane. Each has a boarding pass with assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes the assigned seat if it is unoccupied, and one of unoccupied seats at random otherwise. What is the probability that the last person to board gets to sit in their assigned seat?
44
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

93
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1239 views
- $10.00
Related Questions
- Bad Beat Jackpot
- Combinatorics questions- can someone please help?
- Statistics Probability
- A trigonometry question
- Is it possible to transform $f(x)=x^2+4x+3$ into $g(x)=x^2+10x+9$ by the given sequence of transformations?
- Basic Venn diagram probablility.
- Find Mean, Variance, and Distribution of Recursively Defined Sequence of Random Variables
- Probability and Statistics Question help please