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Table of Contents
Basic probability : Of dice and men ; Probability ; The laws which govern us ; Poker hands versus batting orders ; Let's play for money ; Is that fair? ; The odds are against us ; Things vary ; Conditional expectation
The game's afoot : Application to games ; Counting and probability in poker hands ; Roulette ; Craps ; Let's make a deal: the Monty Hall problem ; Carnival games ; Other casino games ; Backgammon
Repeated play : Binomial coefficients ; The binomial distribution ; The Posisson distribution ; Streaks: are they real? ; Betting strategies ; The gambler's ruin
Card tricks and more : The five-card trick ; The two-deck matching game ; More tricks : The paintball wars
Dealing with data : Batting averages and Simpson's paradox ; NFL passer ratings ; Viewing data: simple graphs ; Confidence in our estimates ; Measuring differences in performance
Testing and relationships : Suzuki versus Pujols ; I'll decide if I believe that ; Are the old adages true? ; How good are certain measurements? Arguing over outstanding performances ; A last look at comparisons
Games and puzzles : Number arrays ; The Tower of Hanoi ; Instant insanity ; Lights out ; Peg games
Combinatorial games : Subtraction games ; Nim ; Games as digraphs ; Blue-red Hackenbush ; Green Hackenbush ; Games as numbers ; More about numbers
Appendix : Review of elementary set theory ; Standard normal distribution table ; Student's t-distribution ; Solutions to problems ; Selected even exercises.
The game's afoot : Application to games ; Counting and probability in poker hands ; Roulette ; Craps ; Let's make a deal: the Monty Hall problem ; Carnival games ; Other casino games ; Backgammon
Repeated play : Binomial coefficients ; The binomial distribution ; The Posisson distribution ; Streaks: are they real? ; Betting strategies ; The gambler's ruin
Card tricks and more : The five-card trick ; The two-deck matching game ; More tricks : The paintball wars
Dealing with data : Batting averages and Simpson's paradox ; NFL passer ratings ; Viewing data: simple graphs ; Confidence in our estimates ; Measuring differences in performance
Testing and relationships : Suzuki versus Pujols ; I'll decide if I believe that ; Are the old adages true? ; How good are certain measurements? Arguing over outstanding performances ; A last look at comparisons
Games and puzzles : Number arrays ; The Tower of Hanoi ; Instant insanity ; Lights out ; Peg games
Combinatorial games : Subtraction games ; Nim ; Games as digraphs ; Blue-red Hackenbush ; Green Hackenbush ; Games as numbers ; More about numbers
Appendix : Review of elementary set theory ; Standard normal distribution table ; Student's t-distribution ; Solutions to problems ; Selected even exercises.