What are the chances?
Find out in this entertaining exploration ofprobabilities in our everyday lives
“If there is anything you want to know, or remind yourself, about probabilities, then look no further than this comprehensive, yet wittily written and enjoyable, compendium of how to apply probability calculations in real-world situations.”
— Keith Devlin, Stanford University, National Public Radio’s “Math Guy” and author of The Math Gene and The Math Instinct
“A delightful guide to the sometimes counterintuitive discipline of probability. Olofsson points out major ideas here, explains classic puzzles there, and everywhere makes free use of witty vignettes to instruct and amuse.”
— John Allen Paulos, Temple University, author of Innumeracy and A Mathematician Reads the Newspaper
“Beautifully written, with fascinating examples and tidbits of information. Olofsson gently and persuasively shows us how to think clearly about the uncertainty that governs our lives.”
— John Haigh, University of Sussex, author of Taking Chances: Winning with Probability
From probable improbabilities to regular irregularities, Probabilities: The Little Numbers That Rule Our Lives investigates the often-surprising effects of risk and chance in our everyday lives. With examples ranging from WWII espionage to the O. J. Simpson trial, from bridge to blackjack, from Julius Caesar to Jerry Seinfeld, the reader is taught how to think straight in a world of randomness and uncertainty.
Throughout the book, readers learn:
- Why it is not that surprising for someone to win the lottery twice
- How a faulty probability calculation forced an innocent woman to spend three years in prison
- How to place bets if you absolutely insist on gambling
- How a newspaper turned an opinion poll into one of the greatest election blunders in history
Educational, eloquent, and entertaining, Probabilities: The Little Numbers That Rule Our Lives is the ideal companion for anyone who wants to obtain a better understanding of the mathematics of chance.
Table of Contents:
Preface v
1 Computing Probabilities: Right Ways and Wrong Ways 1
The Probabilist 1
The Probabilist's Toys and Language 4
The Probabilist's Rule Book 9
Independence, Airplanes, and Russian Peasants 14
Conditional Probability, Swedish TV, and British Courts 20
Liar, Liar 24
Total Probability, Used Cars, and Tennis Matches 28
Combinatorics, Pastrami, and Poetry 33
The von Trapps and the Binomial Distribution 37
Final Word 43
2 Surprising Probabilities: When Intuition Struggles 45
Boys, Girls, Aces, and Colored Cards 45
Goats and Gloats 50
Happy Birthday 52
Typical Atypicalities 57
Strategies, Shopping, and Spaghetti Westerns 61
The British Snob and I 65
Final Word 70
3 Tiny Probabilities: Why Are They So Hard to Escape? 71
Probable Improbabilities 71
Saddam and I 75
Taking Tiny Risks 80
A Million-to-One Shot, Doc, Million to One! 82
Monsieur Poisson and the Mysterious Number 37 84
Clumps in Space 89
Final Word 91
4 Backward Probabilities: The Reverend Bayes to Our Rescue 93
Driving Miss Daisy 93
Bayes, Balls, and Boys (and Girls) 96
Bayes and My Green Card 98
Objection Your Honor 103
Final Word 112
5 Beyond Probabilities: What to Expect 115
Great Expectations 115
Good Things Come to Those Who Wait 123
Expect the Unexpected 129
Size Matters (and Length, and Age) 132
Deviant Behavior 138
Final Word 143
6 Inevitable Probabilities: Two Fascinating Mathematical Results 145
Alea Iacta Est, Over and Over 145
Even-Steven? The Law Misunderstood 149
Coin Tosses and Freeway Congestion 155
Let's Get Serious 162
Bells and Bread 166
How a Toronto Quincunx Changed My Life 171
Final Word 173
7 Gambling Probabilities: Why Donald Trump Is Richer than You 175
French Letters 175
Roulette: A Classy Way to Waste Your Money 179
Craps: Not so Dicey After All 184
Blackjack: Money for Mnemonics 187
Math for Losers 193
Win Money and Lose Friends 200
Final Word 210
8 Guessing Probabilities: Enter the Statisticians 211
Lies, Damned Lies, and Beautiful Lies? 211
4 out of 10 Like the President 19 Times out of 20 215
Polls Gone Wild 220
The Lawsuit and the Lurker 225
Football Players and Geyser Eruptions 230
Snooping in the Abbot’s Garden 237
Final Word 242
9 Faking Probabilities: Computer Simulation 245
Mahogany Dice and Modular Arithmetic 245
Random and Not-So-Random Digits 252
Number One Is Number One 253
Is Random Really Random? 256
Final Word 261
Index 263
About the Author :
PETER OLOFSSON, PHD, is Associate Professor of Mathematics at Trinity University. Dr. Olofsson is an active researcher in the field of applied probability and is an experienced teacher. He is the author of Probability, Statistics, and Stochastic Processes, also from Wiley.
Review :
"…the book will have much appeal to mathematics majors, who may enjoy reading it before, during, or after an undergraduate probability course." (Mathematical Reviews, 2008d) "…interesting vignettes, excellent problems, and good ideas for presenting concepts…succeeds in its goal to help the reader think more clearly about probabilities." (Mathematics Teacher, October 2007)
"…a very useful and valuable book…" (CHOICE, June 2007)
"...an engaging writing style and clever examples that make for a fine addition to the popular literature on probability." (MAA Reviews, December 15, 2006)
