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基本説明
アメリカのテレビ番組""Let's Make a Deal""が発端で、プロの数学者をも巻き込んだ大論争になった「モンティ・ホール問題」とは?数学の確率論で説明することが可能なのですが、直感と理論のズレから多くの人を眠れなくさせたあの問題に挑戦してみませんか?(2014.02.21) 【新聞掲載情報(日本語版)】読売新聞(2014年08月10日) Each chapter closes with a set of historical notes that enriches and supplements the material presented in the main text.
Full Description
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.
Contents
PREFACE ; ACKNOWLEDGMENTS ; 1. Ancestral Monty ; 2. Classical Monty ; 3. Bayesian Monty ; 4. Progressive Monty ; 5. Miscellaneous Monty ; 6. Cognitive Monty ; 7. Philosophical Monty ; 8. Final Monty ; APPENDIX: A GALLERY OF VARIATIONS ; BIBLIOGRAPHY ; INDEX