Synopses & Reviews
What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the workings of probability. Over the years, Nahin, a veteran writer and teacher of the subject, has collected these and other favorite puzzles designed to instruct and entertain math enthusiasts of all backgrounds.
If idiots A and B alternately take aim at each other with a six-shot revolver containing one bullet, what is the probability idiot A will win? What are the chances it will snow on your birthday in any given year? How can researchers use coin flipping and the laws of probability to obtain honest answers to embarrassing survey questions? The solutions are presented here in detail, and many contain a profound element of surprise. And some puzzles are beautiful illustrations of basic mathematical concepts: "The Blind Spider and the Fly," for example, is a clever variation of a "random walk" problem, and "Duelling Idiots" and "The Underdog and the World Series" are straightforward introductions to binomial distributions.
Written in an informal way and containing a plethora of interesting historical material, Duelling Idiots is ideal for those who are fascinated by mathematics and the role it plays in everyday life and in our imaginations.
Review
"Nahin's sophisticated puzzles, and their accompanying explanations, have a far better than even chance of fascinating and preoccupying the mathematically literate readership they seek."--Publisher's Weekly
Review
"An entertaining, thought-provoking collection of twenty-one puzzles. . . .These puzzles invite the reader to think intuitively, mathematically, and creatively about the laws of probability as they apply in lighthearted, often counterintuitive ways to a diverse collection of practical and speculative situations."--Mathematics Teacher
Review
"By following Nahin's informal style it is possible to set [the examples] up quickly from first principles and slip them into courses on calculus, algebra, or scientific programming. They also offer a wealth of topics for undergraduate projects. Those duelling idiots are fighting over a goldmine."--Des Higham, MSOR Connections
Review
Nahin's sophisticated puzzles, and their accompanying explanations, have a far better than even chance of fascinating and preoccupying the mathematically literate readership they seek. Publisher's Weekly
Review
An entertaining, thought-provoking collection of twenty-one puzzles. . . .These puzzles invite the reader to think intuitively, mathematically, and creatively about the laws of probability as they apply in lighthearted, often counterintuitive ways to a diverse collection of practical and speculative situations. Mathematics Teacher
Review
By following Nahin's informal style it is possible to set [the examples] up quickly from first principles and slip them into courses on calculus, algebra, or scientific programming. They also offer a wealth of topics for undergraduate projects. Those duelling idiots are fighting over a goldmine. Des Higham
Synopsis
What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the workings of probability. Over the years, Nahin, a veteran writer and teacher of the subject, has collected these and other favorite puzzles designed to instruct and entertain math enthusiasts of all backgrounds.
If idiots A and B alternately take aim at each other with a six-shot revolver containing one bullet, what is the probability idiot A will win? What are the chances it will snow on your birthday in any given year? How can researchers use coin flipping and the laws of probability to obtain honest answers to embarrassing survey questions? The solutions are presented here in detail, and many contain a profound element of surprise. And some puzzles are beautiful illustrations of basic mathematical concepts: "The Blind Spider and the Fly," for example, is a clever variation of a "random walk" problem, and "Duelling Idiots" and "The Underdog and the World Series" are straightforward introductions to binomial distributions.
Written in an informal way and containing a plethora of interesting historical material, Duelling Idiots is ideal for those who are fascinated by mathematics and the role it plays in everyday life and in our imaginations.
Synopsis
"For those of us who thoroughly enjoy a good puzzle,
Duelling Idiots is indeed a welcome book. What Paul Nahin offers is essentially the mathematical equivalent of a collection of
Far Side cartoons: a series of quirky vignettes, each with an amusing punchline that reveals something new about an offbeat aspect of reality."
--Mark Denny, Stanford University"Duelling Idiots and Other Probability Puzzlers seeks to teach the fundamentals of elementary probability theory using topics that are familiar to most everyone. Its light-hearted way of explaining serious subjects is a refreshing approach."--Robert B. Banks, author of Towing Icebergs, Falling Dominoes and of Slicing Pizzas, Racing Turtles
Synopsis
"For those of us who thoroughly enjoy a good puzzle, Duelling Idiots is indeed a welcome book. What Paul Nahin offers is essentially the mathematical equivalent of a collection of Far Side cartoons: a series of quirky vignettes, each with an amusing punchline that reveals something new about an offbeat aspect of reality."--Mark Denny, Stanford University
"Duelling Idiots and Other Probability Puzzlers seeks to teach the fundamentals of elementary probability theory using topics that are familiar to most everyone. Its light-hearted way of explaining serious subjects is a refreshing approach."--Robert B. Banks, author of Towing Icebergs, Falling Dominoes and of Slicing Pizzas, Racing Turtles
Synopsis
What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the workings of probability. Over the years, Nahin, a veteran writer and teacher of the subject, has collected these and other favorite puzzles designed to instruct and entertain math enthusiasts of all backgrounds.
If idiots A and B alternately take aim at each other with a six-shot revolver containing one bullet, what is the probability idiot A will win? What are the chances it will snow on your birthday in any given year? How can researchers use coin flipping and the laws of probability to obtain honest answers to embarrassing survey questions? The solutions are presented here in detail, and many contain a profound element of surprise. And some puzzles are beautiful illustrations of basic mathematical concepts: "The Blind Spider and the Fly," for example, is a clever variation of a "random walk" problem, and "Duelling Idiots" and "The Underdog and the World Series" are straightforward introductions to binomial distributions.
Written in an informal way and containing a plethora of interesting historical material, Duelling Idiots is ideal for those who are fascinated by mathematics and the role it plays in everyday life and in our imaginations.
Synopsis
"For those of us who thoroughly enjoy a good puzzle,
Duelling Idiots is indeed a welcome book. What Paul Nahin offers is essentially the mathematical equivalent of a collection of
Far Side cartoons: a series of quirky vignettes, each with an amusing punchline that reveals something new about an offbeat aspect of reality."--Mark Denny, Stanford University
"Duelling Idiots and Other Probability Puzzlers seeks to teach the fundamentals of elementary probability theory using topics that are familiar to most everyone. Its light-hearted way of explaining serious subjects is a refreshing approach."--Robert B. Banks, author of Towing Icebergs, Falling Dominoes and of Slicing Pizzas, Racing Turtles
About the Author
Paul J. Nahin is the best-selling author of many popular math books, including Mrs. Perkins's Electric Quilt, Digital Dice, Dr. Euler's Fabulous Formula, When Least Is Best, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.
Table of Contents
Acknowledgments ix
Preface xi
Introduction 3
The Problems 15
1. How to ask an Embarrassing question 15
2. When Idiots duel 16
3. Will the light Bulb glow? 22
4. Tho Underdog and the World Series 26
5. The Curious Case of the Snowy Birthdays 27
6. When Human Flesh Begins to Fail 34
7. Baseball Again, and Mortal Flesh Too 51
8. Ball Madness 56
9. Who Pays for the Coffee? 42
10. The Chess Champ versus the Gunslinger 45
11. A Different Slice of Probabilistic Pi 49
12. When Negativity is a No-No 50
15. The Power of Randomness 51
14. The Random Radio 52
15. An Inconceivable Difficulty 55
16. The Unsinkable Tub is Sinking! How to Find Her, Fast 57
17. A Walk in the Garden 58
18. Two Flies Stuck on a Piece of Flypaper--How Far Apart? 61
19.The Blind Spider and the Fly 62
20. Reliably Unreliable 68
21. When Theory Fails, There is always the Computer 71
The Solutions 81
Random Number Generators 176
"Some things Just Have to be Done By Hand!" 198
MATLAB Programs 202
Index 267
About the Author 271