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Preface 3
Problem 1. Cardano and Games of Chance (1564) 8
Problem 2. Gailieo and a Discovery Concerning Dice (1620) 15
Problem 3. The Chevalier de Méré Problem I: The Problem of Dice (1654) 17
Problem 4. The Chevalier de Méré Problem II: The Problem of Points (1654) 22
Problem 5. Huygens and the Gambler’s Ruin (1657) 39
Problem 6. The Pepys-Newton Connection (1693) 47
Problem 7. Rencontres with Montmort (1708) 50
Problem 8. Jacob Bernoulli and his Golden Theorem (1713) 54
Problem 9. De Moivre’s Problem (1730) 71
Problem 10. De Moivre, Gauss, and the Normal Curve (1730, 1809) 79
Problem 11. Daniel Bernoulli and the St Petersburg Problem (1738) 94
Problem 12. D’Alembert and the “Croix ou Pile” Article (1754) 102
Problem 13. D’Alembert and the Gambler’s Fallacy (1761) 105
Problem 14. Bayes, Laplace, and Philosophies of Probability (1764, 1774) 109
Problem 15. Leibniz’s Error (1768) 132
Problem 16. The Buffon Needle Problem (1777) 134
Problem 17. Bertrand’s Ballot Problem (1887) 143
Problem 18. Bertrand’s Strange Three Boxes (1889) 147
Problem 19. Bertrand’s Chords (1889) 151
Problem 20. Three Coins and a Puzzle from Galton (1894) 156
Problem 21. Lewis Carroll’s Pillow Problem No. 72 (1894) 157
Problem 22. Borel and A Different Kind of Normality (1909) 161
Problem 23. Borel’s Paradox and Kolmogorov’s Axioms (1909, 1933) 165
Problem 24. Of Borel, Monkeys, and the New Creationism (1913) 173
Problem 25. Kraitchik’s Neckties and Newcomb’s Problem (1930, 1960)
Problem 26. Fisher and the lady Tasting Tea (1935) 188
Problem 27. Benford and the Peculiar Behavior of the First Significant Digit (1938) 195
Problem 28. Coinciding Birthdays (1939) 200
Problem 29. Lévy and the Arc Sine Law (1939) 206
Problem 30. Simpson’s Paradox (1951) 210
Problem 31. Gamow, Stern, and Elevators (1958) 215
Problem 32. Monty-Hall, Cars, and Goats (1975) 218
Problem 33. Parrondo’s Perplexing Paradox (1996) 224
Bibliography 230
Photo Credits 254
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Add Classic Problems of Probability, Detailing the history of probability, this book examines the classic problems of probability, many of which have shaped the field, and emphasizes problems that are counter-intuitive by nature. Classic Problems of Probability is rich in the history of prob, Classic Problems of Probability to the inventory that you are selling on WonderClubX
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Add Classic Problems of Probability, Detailing the history of probability, this book examines the classic problems of probability, many of which have shaped the field, and emphasizes problems that are counter-intuitive by nature. Classic Problems of Probability is rich in the history of prob, Classic Problems of Probability to your collection on WonderClub |