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.
Contains puzzles and riddles that demonstrate mathematical concepts, and includes solutions.
This text provides a comprehensive treatment of the Monty Hall Problem, one of the most famous brainteasers in mathematics.
A collection of all-time favorites from the popular advice columnist of Parade magazine includes her responses to such questions as "Is money the root of all evil?" and "What is the essence of our America?" Reprint.
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.
This book uses simulations to solve counter-intuitive logic puzzles, create procedural artworks, and build habitats for digital lifeforms.
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
Convergence rates of posterior distributions. The Annals of Statistics 28 500–531. GILKs, W. R., RICHARDSON, S. and SPIEGELHALTER, D. J. (1998). Markov Chain Monte Carlo in Practice. Chapman & Hall. GRIMMETT, G. and STIRZAKER, D.
Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of Hanoi Using real-world analogies, infectious humor, and ...
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!).
This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.