See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/257820963 Roulette Odds and Profits: The Mathematics of Complex Bets Book * January 2008 CITATIONS 0 READS 427 1 author: Some of the authors of this publication are also working on these related projects: Metatheoretical analysis and structural alternatives of the resolving of the philosophical problem of the applicability of mathematics in natural sciences and Wigner's puzzle View project Editing/Proofreading/Commenting/Research Designing in philosophy of science/philosophy of mathematics Collaboration and co-authorship View project Catalin Barboianu University of Bucharest 27 PUBLICATIONS 5 CITATIONS SEE PROFILE All content following this page was uploaded by Catalin Barboianu on 03 March 2016. The user has requested enhancement of the downloaded file. ROULETTE ODDS AND PROFITS The Mathematics of Complex Bets  ∏ This is a sample containing the title page, copyright page and content list. There is no electronic edition of this book. The printed edition can be ordered at minimal price at http://probability.infarom.ro/books.html Cătălin Bărboianu INFAROM Publishing Applied Mathematics office@infarom.com http://www.infarom.com http://probability.infarom.ro ISBN 973-87520-6-x Publisher: INFAROM Author and translator: Cătălin Bărboianu Correction Editor: Sara M. Stohl Copyright © INFAROM 2009 This work is subject to copyright. All rights are reserved, whether the whole work or part of the material is concerned, specifically the rights of translation, reprinting, reuse of formulas and tables, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of Copyright Laws, and permission for use must always be obtained from INFAROM. Contents Introduction ...................................................................................... 5 The Rules of Roulette ....................................................................... 9 The Supporting Mathematics .......................................................... 13 The probability space ...................................................................... 14 The probability properties and formulas used ................................. 17 Simple bets ...................................................................................... 19 Complex bets ................................................................................... 24 Improved bets .................................................................................. 53 Betting on a colour and on numbers of the opposite colour ......... 63 Betting on a column and on outside numbers ............................... 83 Betting on the third column and on the colour black ................... 107 Betting on streets and on the opposite of the predominant colour ................................................................................................. 111 Betting on corners and on the opposite of the predominant colour ................................................................................................. 121 Betting on lines and on the opposite of the predominant colour ............................................................................................................. 125 Betting on a colour and on splits of the opposite colour ............... 129 Betting on the colour red and on black splits .................................. 129 Betting on the colour black and on red splits .................................. 133 Betting on High/Low and on splits of low/high numbers ............. 139 Betting on first and third columns and on the colour black ........ 157 Repeated bets .................................................................................... 161 Repeated colour bet – American roulette ........................................ 162 Repeated colour bet – European roulette ........................................ 166 Repeated column bet – American roulette ...................................... 169 Repeated column bet – European roulette ....................................... 172 Repeated line bet – American roulette ............................................ 175 Repeated line bet – European roulette ............................................. 178 Repeated corner bet – American roulette ........................................ 181 Repeated corner bet – European roulette ........................................ 184 Repeated street bet – American roulette ......................................... 187 Repeated street bet – European roulette .......................................... 190 Repeated split bet – American roulette ........................................... 193 Repeated split bet – European roulette ............................................ 196 Repeated straight-up bet – American roulette ................................. 199 Repeated straight-up bet – European roulette ................................. 202 The martingale ................................................................................ 205 References .......................................................................................... 209 View publication stats