Download or read book The Monty Hall Problem written by Rob Deaves and published by Lulu Enterprises Uk Limited. This book was released on 2007-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short book explores the Monty Hall dilemma, a well known mathematical puzzle. The original problem, the controversy surrounding it and its solution are discussed. Further, the boundaries of the problem are expanded to consider prior knowledge and host intention. This book should be of interest to those who enjoy problem solving.
Download or read book The Monty Hall Problem written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2009-06-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issues and has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Download or read book The Cauchy Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Download or read book The Monty Hall Problem Other Puzzles written by Ivan Moscovich and published by Robson Books Limited. This book was released on 2005 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Puzzlers will feel fit to be tied - Dog Tied: If Fido is tied to a 10-foot-long rope, and his bone is 15 feet away, how is it possible that he can reach and enjoy his bone without breaking or stretching the rope? (And yes - the rope IS tied to something.) There's fun in finding the answer to this and other cool number-based problems. Dust off your mathematics and get solving. The intriguing enigmas include questions on interstellar communications, ancient geometry (Pythagoras and Plato), and even traffic patterns in gridlock city. Or play the grasshopper jumping game. It's all fascinating.
Download or read book The Monty Hall Problem written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2009-06-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years.
Download or read book One Thousand Exercises in Probability written by Geoffrey Grimmett and published by Oxford University Press. This book was released on 2001-05-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide provides a wide-ranging selection of illuminating, informative and entertaining problems, together with their solution. Topics include modelling and many applications of probability theory.
Download or read book Ask Marilyn written by Marilyn Vos Savant and published by Saint Martin's Paperbacks. This book was released on 1994-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Parade" magazine's resident genius compiles the best of her question-and-answer column that logically tackles the mysteries of the universe, brainteasers, and unique insights
Download or read book The Curious Incident of the Dog in the Night Time written by Mark Haddon and published by Anchor Canada. This book was released on 2009-02-24 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestselling modern classic—both poignant and funny—narrated by a fifteen year old autistic savant obsessed with Sherlock Holmes, this dazzling novel weaves together an old-fashioned mystery, a contemporary coming-of-age story, and a fascinating excursion into a mind incapable of processing emotions. Christopher John Francis Boone knows all the countries of the world and their capitals and every prime number up to 7,057. Although gifted with a superbly logical brain, Christopher is autistic. Everyday interactions and admonishments have little meaning for him. At fifteen, Christopher’s carefully constructed world falls apart when he finds his neighbour’s dog Wellington impaled on a garden fork, and he is initially blamed for the killing. Christopher decides that he will track down the real killer, and turns to his favourite fictional character, the impeccably logical Sherlock Holmes, for inspiration. But the investigation leads him down some unexpected paths and ultimately brings him face to face with the dissolution of his parents’ marriage. As Christopher tries to deal with the crisis within his own family, the narrative draws readers into the workings of Christopher’s mind. And herein lies the key to the brilliance of Mark Haddon’s choice of narrator: The most wrenching of emotional moments are chronicled by a boy who cannot fathom emotions. The effect is dazzling, making for one of the freshest debut in years: a comedy, a tearjerker, a mystery story, a novel of exceptional literary merit that is great fun to read.
Download or read book The Monty Hall Dilemma written by Donald Granberg and published by . This book was released on 2014-12-09 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cognitive illusion occurs when the obvious answer to a thought question turns out to be incorrect. Psychological reality conflicts with objective reality. The Monty Hall Dilemma is a cognitive illusion par excellence originating in the "Let's Make a Deal" television game show in which a contestant selects one of three doors hoping that it hides the grand prize (like a new car!). After an initial guess has been made, host Monty Hall reveals a consolation prize (like a goat!) behind one of the other doors. The contestant's dilemma is whether to stay with the first choice or switch to the remaining unchosen door. Popular PARADE magazine columnist, Marilyn vos Savant, writing about the Monty Hall dilemma, received thousands of letters from readers most of whom contested her surprising solution to this dilemma. Knowing about cognitive illusions in general (several are presented here) and the Monty Hall Dilemma in particular should alert readers to the possibility that ordinary reasoning and common sense don't always apply even though people have a tendency to stick with their initial hunches.
Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Download or read book Simulations in Swift 5 written by Beau Nouvelle and published by Apress. This book was released on 2019-10-25 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and implement simulations using Apples Swift Playgrounds. Computer simulations are used to replicate the physical systems we see all around us. They help us solve problems by performing experiments that may otherwise be impossible in the real world. This book uses simulations to solve counter-intuitive logic puzzles, create procedural artworks, and build habitats for digital lifeforms. To help you create your own simulations using the Swift programming language, this book is filled with projects that you can easily follow along with. All you need is a Mac with the latest version of Xcode installed. All projects are written in Xcode’s Playgrounds. This keeps the process simple. No need to setup an Apple account, or learn anything further about building apps. Simulations are used in many areas within computer science and yet, barely anyone is teaching them. Sure, the fundamentals are in algorithm design, but simulations are a step above that. Usually when writing an algorithm you have a specific outcome in mind. However, when you create a simulation, the system you are modelling can be far more unpredictable than sorting a list, or navigating a maze. Simulations in Swift 5 will guide you through all of this. What You'll Learn Simulate situations with advanced algorithms to solve advanced problems Incorporate real-world physics into simulated problems Predict biological and other systems behavior and the outcome of events based on presented factors Who This Book Is For Swift programmers interested in tackling fun projects in Swift involving advanced algorithms and factors
Download or read book Naked Statistics Stripping the Dread from the Data written by Charles Wheelan and published by W. W. Norton & Company. This book was released on 2013-01-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times bestseller "Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy." From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more. For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions. And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.
Download or read book The Power of Logical Thinking written by Marilyn vos Savant and published by Macmillan. This book was released on 1997-04-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that Americans must improve their understanding of probability and logic.
Download or read book Mathematical Puzzles and Curiosities written by Barry R. Clarke and published by Courier Corporation. This book was released on 2013-06-19 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intriguing collection features recreational math, logic, and creativity puzzles. Classic and new puzzles include The Monty Hall Problem, The Unexpected Hanging, The Shakespeare Puzzles, and Finger Multiplication.
Download or read book Emcee Monty Hall written by Monty Hall and published by New York : Grosset & Dunlop. This book was released on 1973 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Download or read book Classic Problems of Probability written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-05-02 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability 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. From 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: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage 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 Classic Problems of Probability 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.
