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Index
Cover Page
Title Page
Copyright Page
Dedication Page
Contents
Preface
Introduction: Classic Puzzles from the Past
I.1 A Gambling Puzzle of Gombaud and Pascal
I.2 Galileo’s Dice Problem
I.3 Another Gombaud-Pascal Puzzle
I.4 Gambler’s Ruin and De Moivre
I.5 Monte Carlo Simulation of Gambler’s Ruin
I.6 Newton’s Probability Problem
I.7 A Dice Problem That Would Have Surprised Newton
I.8 A Coin-Flipping Problem
I.9 Simpson’s Paradox, Radio-Direction Finding, and the Spaghetti Problem
Challenge Problems
1 Breaking Sticks
1.1 The Problem
1.2 Theoretical Analysis
1.3 Computer Simulation
2 The Twins
2.1 The Problem
2.2 Theoretical Analysis
2.3 Computer Simulation
3 Steve’s Elevator Problem
3.1 The Problem
3.2 Theoretical Analysis by Shane Henderson
3.3 Computer Simulation
4 Three Gambling Problems Newton Would “Probably” Have Liked
4.1 The Problems
4.2 Theoretical Analysis 1
4.3 Computer Simulation 1
4.4 Theoretical Analysis 2
4.5 Computer Simulation 2
4.6 Theoretical Analysis 3
5 Big Quotients—Part 1
5.1 The Problem
5.2 Theoretical Analysis
5.3 Computer Simulation
6 Two Ways to Proofread
6.1 The Problem
6.2 Theoretical Analysis
7 Chain Letters That Never End
7.1 The Problem
7.2 Theoretical Analysis
8 Bingo Befuddlement
8.1 The Problem
8.2 Computer Simulation
9 Is Dreidel Fair?
9.1 The Problem
9.2 Computer Simulation
10 Hollywood Thrills
10.1 The Problem
10.2 Theoretical Analysis
11 The Problem of the n-Liars
11.1 The Problem
11.2 Theoretical Analysis
11.3 Computer Simulation
12 The Inconvenience of a Law
12.1 The Problem
12.2 Theoretical Analysis
13 A Puzzle for When the Super Bowl is a Blowout
13.1 The Problem
13.2 Theoretical Analysis
14 Darts and Ballistic Missiles
14.1 The Problem
14.2 Theoretical Analysis
15 Blood Testing
15.1 The Problem
15.2 Theoretical Analysis
16 Big Quotients—Part 2
16.1 The Problem
16.2 Theoretical Analysis
17 To Test or Not to Test?
17.1 The Problem
17.2 Theoretical Analysis
18 Average Distances on a Square
18.1 The Problem(s)
18.2 Theoretical Analyses
18.3 Computer Simulations
19 When Will the Last One Fail?
19.1 The Problem
19.2 Theoretical Analyses
20 Who’s Ahead?
20.1 The Problem
20.2 Theoretical Analysis
21 Plum Pudding
21.1 The Problem
21.2 Computer Simulation
21.3 Theoretical Analysis
22 Ping-Pong, Squash, and Difference Equations
22.1 Ping-Pong Math
22.2 Squash Math Is Harder!
23 Will You Be Alive 10 Years from Now?
23.1 The Problem
23.2 Theoretical Analysis
24 Chickens in Boxes
24.1 The Problem (and Some Warm-ups, Too)
24.2 Theoretical Analysis
25 Newcomb’s Paradox
25.1 Some History
25.2 Decision Principles in Conflict
Challenge Problem Solutions
Technical Note on MATLAB®’s Random Number Generator
Acknowledgments
Index
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