Absent-Minded Passengers

@article{Henze2019AbsentMindedP,
  title={Absent-Minded Passengers},
  author={Norbert Henze and Gunter Last},
  journal={The American Mathematical Monthly},
  year={2019},
  volume={126},
  pages={867 - 875}
}
  • N. Henze, G. Last
  • Published 26 September 2018
  • Mathematics
  • The American Mathematical Monthly
Abstract Passengers board a fully booked airplane in order. The first passenger picks one of the seats at random. Each subsequent passenger takes his or her assigned seat if available, otherwise takes one of the remaining seats at random. It is well known that the last passenger obtains her own seat with probability 1/2. We study the distribution of the number of incorrectly seated passengers, and we also discuss the case of several absent-minded passengers. 
More Absent-Minded Passengers
We offer a formula for the probability distribution of the number of misseated airplane passengers resulting from the presence of multiple absent-minded passengers, given the number of seats
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra
TLDR
It is demonstrated how the computer algebra packages of RISC can be used to carry out the underlying heavy calculations and raise some challenging tasks to gain further probabilistic insight.
The lost boarding pass and other practical problems
The world is amply supplied with probability teasers. These can mystify and intoxicate. Here are some classics.

References

SHOWING 1-10 OF 16 REFERENCES
Finding Your Seat Versus Tossing a Coin
Abstract In a classroom of n seats and n students, the first student sits at random, whereas every other student must sit at her/his seat, but may sit randomly if her/his seat is already taken. The
The Art of Mathematics - Coffee Time in Memphis
TLDR
This reading book is your chosen book to accompany you when in your free time, in your lonely, this kind of book can help you to heal the lonely and get or add the inspirations to be more inoperative.
Elementary probability theory – with stochastic processes and an introduction to mathematical finance, (4th edn), by K. L. Chung and F. AitSahlia. Pp. 402. £56. 2003. ISBN 0 387 95578 X (Springer-Verlag).
question, the author grasps the nettle and cites an ingenious construction of Capinski and Kopp in which this proves to be untenable. The exercises on conditional probability also contain plenty of
Mathematical Puzzles: A Connoisseur's Collection
Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles. The answers are easy to explain, but without this book,
Classroom
In this section of Resonance , we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both.
Problems and Snapshots from the World of Probability
TLDR
This book comprises a collection of 125 problems and snapshots from discrete probability that provide quick overviews of topics in probability such as Markov chains, Poisson processes, random walks, patterns in random sequences, cover times, and embedding procedures.
The Distribution of the Size of the Union of Cycles for Two Types of Random Permutations
We discuss some problems and permutation statistics involving two different types of random permutations. Under the usual model of random permutations, we prove that the shifted coverage of the
Elementary Probability Theory With Stochastic Processes and an Introduction to Mathematical Finance
Elementary Probability Theory-Kai Lai Chung 2012-11-12 This book provides an introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, which is
Elementary Probability Theory
Elementary probability theory , Elementary probability theory , کتابخانه دیجیتال جندی شاپور اهواز
...
...