ENGLISH

Cut the Knot: Probability Riddles

By Alexander Bogomolny

Book information

Publisher
Wolfram Media
Year
2020
ISBN
157955041X, 9781579550417
Language
english
Format
PDF
Filesize
8 MB (8638164 bytes)
Pages
296\297
Time added
2021-02-07 21:56:37
Mathematics; Probability Theory; Recreative Mathem

Description

He who untied the Gordian knot would rule all of Asia So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia,eventually reaching as far east as Northern India. Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org,these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need. Contents Foreword by Nassim Nicholas Taleb Preface 1 | Intuitive Probability 1 | Solutions 2 | What Is Probability? 3 | Likely Surprises 3 | Solutions 4 | Basic Probability 4 | Solutions 5 | Geometric Probability 5 | Solutions 6 | Combinatorics 6 | Solutions 7 | Conditional Probability 7 | Solutions 8 | Expectation 8 | Solutions 9 | Recurrences and Markov Chains 9 | Solutions 10 | Sampling of American Mathematics Competition Problems 10 | Solutions 11 | Elementary Statistics 11 | Solutions Appendix A | Dependent and Independent Events Appendix B | Principle of Symmetry Bibliography Index of Riddles

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