{"product_id":"classic-problems-of-probability-isbn-9781118063255","title":"Classic Problems of Probability","description":"\u003cp\u003eWinner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e\"A great book, one that I will certainly add to my personal library.\"\u003cbr\u003e \u003c\/b\u003e—\u003cb\u003ePaul J. Nahin\u003c\/b\u003e, Professor Emeritus of Electrical Engineering, University of New Hampshire\u003c\/p\u003e \u003cp\u003eCl\u003ci\u003eassic Problems of Probability\u003c\/i\u003e presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature.\u003c\/p\u003e \u003cp\u003eFrom Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eBuffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance\u003c\/li\u003e \u003cli\u003eVarious paradoxes raised by Joseph Bertrand\u003c\/li\u003e \u003cli\u003eClassic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem\u003c\/li\u003e \u003cli\u003eThe Bayesian paradigm and various philosophies of probability\u003c\/li\u003e \u003cli\u003eCoverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eClassic Problems of Probability\u003c\/i\u003e is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.\u003c\/p\u003e \u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eAcknowledgments xi\u003c\/p\u003e \u003cp\u003e1 Cardano and Games of Chance (1564) 1\u003c\/p\u003e \u003cp\u003e2 Galileo and a Discovery Concerning Dice (1620) 9\u003c\/p\u003e \u003cp\u003e3 The Chevalier de Méré Problem I: The Problem of Dice (1654) 13\u003c\/p\u003e \u003cp\u003e4 The Chevalier de Méré Problem II: The Problem of Points (1654) 20\u003c\/p\u003e \u003cp\u003e5 Huygens and the Gambler’s Ruin (1657) 39\u003c\/p\u003e \u003cp\u003e6 The Pepys–Newton Connection (1693) 49\u003c\/p\u003e \u003cp\u003e7 Rencontres with Montmort (1708) 54\u003c\/p\u003e \u003cp\u003e8 Jacob Bernoulli and his Golden Theorem (1713) 62\u003c\/p\u003e \u003cp\u003e9 De Moivre’s Problem (1730) 81\u003c\/p\u003e \u003cp\u003e10 De Moivre, Gauss, and the Normal Curve (1730, 1809) 89\u003c\/p\u003e \u003cp\u003e11 Daniel Bernoulli and the St. Petersburg Problem (1738) 108\u003c\/p\u003e \u003cp\u003e12 d’Alembert and the “Croix ou Pile” Article (1754) 119\u003c\/p\u003e \u003cp\u003e13 d’Alembert and the Gambler’s Fallacy (1761) 124\u003c\/p\u003e \u003cp\u003e14 Bayes, Laplace, and Philosophies of Probability (1764, 1774) 129\u003c\/p\u003e \u003cp\u003e15 Leibniz’s Error (1768) 156\u003c\/p\u003e \u003cp\u003e16 The Buffon Needle Problem (1777) 159\u003c\/p\u003e \u003cp\u003e17 Bertrand’s Ballot Problem (1887) 169\u003c\/p\u003e \u003cp\u003e18 Bertrand’s Strange Three Boxes (1889) 175\u003c\/p\u003e \u003cp\u003e19 Bertrand’s Chords (1889) 179\u003c\/p\u003e \u003cp\u003e20 Three Coins and a Puzzle from Galton (1894) 186\u003c\/p\u003e \u003cp\u003e21 Lewis Carroll’s Pillow Problem No. 72 (1894) 189\u003c\/p\u003e \u003cp\u003e22 Borel and a Different Kind of Normality (1909) 194\u003c\/p\u003e \u003cp\u003e23 Borel’s Paradox and Kolmogorov’s Axioms (1909, 1933) 199\u003c\/p\u003e \u003cp\u003e24 Of Borel, Monkeys, and the New Creationism (1913) 208\u003c\/p\u003e \u003cp\u003e25 Kraitchik’s Neckties and Newcomb’s Problem (1930, 1960) 215\u003c\/p\u003e \u003cp\u003e26 Fisher and the Lady Tasting Tea (1935) 224\u003c\/p\u003e \u003cp\u003e27 Benford and the Peculiar Behavior of the First Significant Digit (1938) 233\u003c\/p\u003e \u003cp\u003e28 Coinciding Birthdays (1939) 240\u003c\/p\u003e \u003cp\u003e29 Lévy and the Arc Sine Law (1939) 247\u003c\/p\u003e \u003cp\u003e30 Simpson’s Paradox (1951) 253\u003c\/p\u003e \u003cp\u003e31 Gamow, Stern, and Elevators (1958) 260\u003c\/p\u003e \u003cp\u003e32 Monty-Hall, Cars, and Goats (1975) 264\u003c\/p\u003e \u003cp\u003e33 Parrondo’s Perplexing Paradox (1996) 271\u003c\/p\u003e \u003cp\u003eBibliography 277\u003c\/p\u003e \u003cp\u003ePhoto Credits 296\u003c\/p\u003e \u003cp\u003eIndex 299\u003c\/p\u003e  \u003cp\u003e“Thus, the book can be highly recommend to every lecturer in this field and every student interested in probability and statistics.”  (\u003ci\u003eZentralblatt Math\u003c\/i\u003e, 1 September   2013)\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePRAKASH GORROOCHURN, PhD, \u003c\/b\u003eis Assistant Professor in the Department of Biostatistics at Columbia University, where he is also a statistical consultant in the School of Social Work. Dr. Gorroochurn has published extensively in his areas of research interest, which include mathematical population genetics and genetic epidemiology.\u003c\/p\u003e   \u003cp\u003e\u003cb\u003e\"A great book, one that I will certainly add to my personal library.\"\u003cbr\u003e \u003c\/b\u003e—\u003cb\u003ePaul J. Nahin\u003c\/b\u003e, Professor Emeritus of Electrical Engineering, University of New Hampshire\u003c\/p\u003e \u003cp\u003eCl\u003ci\u003eassic Problems of Probability\u003c\/i\u003e presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature.\u003c\/p\u003e \u003cp\u003eFrom Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eBuffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance\u003c\/li\u003e \u003cli\u003eVarious paradoxes raised by Joseph Bertrand\u003c\/li\u003e \u003cli\u003eClassic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem\u003c\/li\u003e \u003cli\u003eThe Bayesian paradigm and various philosophies of probability\u003c\/li\u003e \u003cli\u003eCoverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eClassic Problems of Probability\u003c\/i\u003e is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988925759717,"sku":"NP9781118063255","price":73.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118063255.jpg?v=1761782078","url":"https:\/\/k12savings.com\/es\/products\/classic-problems-of-probability-isbn-9781118063255","provider":"K12savings","version":"1.0","type":"link"}