LUCK, LOGIC, AND WHITE LIES the mathematics of games.

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Foreword
Preface
Part I: Games of Chance
	1 Dice and Probability
	2 Waiting for a Double 6
	3 Tips on Playing the Lottery: More Equal than Equal?
	4 A Fair Division: But How?
	5 The Red and the Black: The Law of Large Numbers
	6 Asymmetric Dice: Are They Worth Anything?
	7 Probability and Geometry
	8 Chance and Mathematical Certainty: Are They Reconcilable?
	9 In Quest of the Equiprobable
	10 Winning the Game: Probability and Value
	11 Which Die Is Best?
	12 A Die Is Tested
	13 The Normal Distribution: A Race to the Finish!
	14 And Not Only at Roulette: The Poisson Distribution
	15 When Formulas Become Too Complex: The Monte Carlo Method
	16 Markov Chains and the Game Monopoly
	17 Blackjack: A Las Vegas Fairy Tale
Part II: Combinatorial Games
	18 Which Move Is Best?
	19 Chances of Winning and Symmetry
	20 A Game for Three
	21 Nim: The Easy Winner!
	22 Lasker Nim: Winning along a Secret Path
	23 Black-and-White Nim: To Each His (or Her) Own
	24 A Game with Dominoes: Have We Run Out of Space Yet?
	25 Go: A Classical Game with a Modern Theory
	26 Misère Games: Loser Wins!
	27 The Computer as Game Partner
	28 Can Winning Prospects Always Be Determined?
	29 Games and Complexity: When Calculations Take Too Long
	30 A Good Memory and Luck: And Nothing Else?
	31 Backgammon: To Double or Not to Double?
	32 Mastermind: Playing It Safe
Part III: Strategic Games
	33 Rock–Paper–Scissors: The Enemy’s Unknown Plan
	34 Minimax versus Psychology: Even in Poker?
	35 Bluffing in Poker: Can It Be Done without Psychology?
	36 Symmetric Games: Disadvantages Are Avoidable, but How?
	37 Minimax and Linear Optimization: As Simple as Can Be
	38 Play It Again, Sam: Does Experience Make Us Wiser?
	39 Le Her: Should I Exchange?
	40 Deciding at Random: But How?
	41 Optimal Play: Planning Efficiently
	42 Baccarat: Draw from a Five?
	43 Three-Person Poker: Is It a Matter of Trust?
	44 QUAAK! Child’s Play?
	45 Mastermind: Color Codes and Minimax
	46 A Car, Two Goats—and a Quizmaster
Part IV: Epilogue: Chance, Skill, and Symmetry
	47 A Player’s Influence and Its Limits
	48 Games of Chance and Games of Skill
	49 In Quest of a Measure
	50 Measuring the Proportion of Skill
	51 Poker: The Hotly Debated Issue
Index