Surprises in Probability: Seventeen Short Stories

ISBN-13: 9780367000431 / Angielski / Miękka / 2018 / 146 str.

Henk Tijms

Opis

This book brings together a variety of probability applications through entertaining stories that will appeal to a broad readership. What are the best stopping rules for the dating problem? What can Bayes' formula tell us about the chances of a Champions League draw for soccer teams being rigged? How could syndicates win millions of lottery dollars by buying a multitude of tickets at the right time? What's the best way to manage your betting bankroll in a game in which you have an edge? How to use probability to debunk quacks and psychic mediums? How can the Monte Carlo simulation be used to solve a wide variety of probability problems? Are seven riffle shuffles of a standard deck of 52 playing cards enough for randomness? Provides seventeen engaging stories that illustrate ideas in probability. Written so as to be suitable for those with minimal mathematical background. Stories can be read independently. Can be used as examples and exercises for teaching introductory probability. These questions and many more are addressed in seventeen short chapters that can be read independently. The engaging stories are instructive and demonstrate valuable probabilistic ideas. They offer students material that they most likely don't learn in class, and offer teachers a new way of teaching their subject.

Spis treści

1. What is Casino Credit Worth? 2. One Hundred Prisoners: Freedom or Death 3. Birthday Surprises and 500 Oldsmobiles 4. Was the Champions League Rigged? 5. Benford Goes to the Casino 6. Surprising Card Games, or, It's All in the Cards 7. The Lost Boarding Pass and the Seven Dwarfs 8. Monte Carlo Simulation and Probability: The Interface 9. Lotto Nonsense: the World is Asking to be Deceived 10. March Madness Grips the USA 11. Coincidences and Impossibilities 12. Gambler's Fallacy 13. Euler's Number e is Everywhere 14. The 10 Most Beautiful Formulas in Probability 15. Beating the Odds on the Lottery 16. Investing and Gambling with Kelly 17.To Stop or Not to Stop? That is the Question

O autorze

Henk Tijms is a Dutch Emeritus Professor of Applied Mathematics. He taught applied probability and stochastic optimization for more than 30 years, and has written several widely used textbooks on these subjects, including the 2017 text “Probability: A Lively Introduction”.