- BLACKJACK ACE PREDICTION DAvID McDowELL : SPUR OF THE MOMENT PUBLISHING Digitized by the Internet Archive in 2021 with funding from Kahle/Austin Foundation https://archive.org/details/blackjackacepred000O0mcdo BLACKJACK ACE PREDICTION The art of advanced location strategies for the casino game of twenty-one For Flora BLACKJACK ACE PREDICTION The art of advanced location strategies for the casino game of twenty-one DAVID MCDOWELL With a foreword by Michael Dalton Copyright © 2004 by Spur of the Moment Publishing First edition / First printing ~ Printed in the United States of America 09 08 07 06 05 04 OSS]. Guat See) 1 ISBN 1-879712-10-5 Library of Congress Control Number: 2004110090 McDowell, David. Blackjack Ace Prediction: The art of advanced location strategies for the casino game of twenty-one. Includes appendices, bibliographical references and index. All rights reserved. No part of this publication may be translated, reproduced, or transmitted in any form or by any means, electronic or mechanical, including photocopying and recording, or by any information storage and retrieval system, without the express written permission of the copyright owner. Inquiries should be addressed to Spur of the Moment Publishing, P.O. BOX 541967, Merritt Island, FL 32954-1967 USA. Visit our web site at www.BJRnet.com to order copies of this book and for possible updates, errata and to participate in our message forums. For wholesale and retail information email [email protected] or contact us at the address above. Blackjack Review Network Gaining an edge in cards and lite! PUBLISHER / EDITOR: Michael Dalton, Spur othe Moment Publishing, Merritt Island, Florida, [email protected] |w ww.BJRnet.com. COVER ARTWORK CREDIT: Copyright © Directional Publishing, Inc., “Ace of Spades” by Abigail T. Kamelhair. PHOTOGRAPHIC CREDITS: Edward Thorp, courtesy of New Mexico State University Library Archives, Las Cruces. William Earl Walden, courtesy of Washington State University Library Archives, Pullman. Edward Thorp at University of California, Irvine, from I Have a Photographic Memory by Paul Richard Halmos, courtesy of the American Mathematical Society, Providence, Rhode Island. Shoulder holster, courtesy of Warren of California, San Diego, www. travelsecurityaccessories.com, 800-932-4465. DISCLAIMER: Although the author and publisher have exhaustively researched all sources to ensure the accuracy and completeness of the information contained in this book, we assume no responsibility for errors, inaccuracies, omissions or any other inconsistency herein. Any slights against people or organizations are unintentional. Gambling infers risk. The author and publisher accept no legal responsibility or financial liability whatsoever for any reader’s application of the information contained in this book. TABLE OF CONTENTS Tables and Figures icc.: :-sscsacecaecsseeqenrst Wracacnancnsecce-eeeessueeec.er d 10 A CKNOWICASINENES: jc ccc.cc:sesbc csecsaasdeacasrsennacnececreeecsecvannrdisune s 12 About the Cover: Art sasiizi.scssstevsaceechsaceutsvscescsvetcacweseereneeds 14 Foreword by Michael Dalton .............c.sscsccssscssessesccenscenees Lbs Chapter] =A. ce Prediction i... s1ecc hess nae coe ee 17 Doing ShufflesAnalyses- Seiee nee eee ee ee 19 Dome Computer Simmlcrians 2, eeeeee e e 20 Usine ihe Hx peciation Honmulge ee. . ee ee cn | Other’ BOOKS: sist sci, Reena the kolo 22 Published Referencesmet.. so. a ee ee 23 “How I Invented Ace Prediction ””—Ed Thorp ..............-.- 30 Table of Contents Chapter 2 - Non-Random Shuffling ........ccccccscscsscsceeseeeees 32 Permutations by Cutting and Shuffling .....cccccccccccc0c0000000+. aL Thorp’s Non-Random Shuffling Analysis.........0cc0c00000000-+. 34 Epstein’s Analysis of the Imperfect Shuffle..........c0ccc000. a7 Casino Card Shuffles: How Random Are They? .............. 39 inpormation Loss Card Shujpline sates ena 40) Babiana; Mystery: Charles T. JOP vitcstsscpsu concesaseese: 43 Chapter 3 - Analyzing Shuffles..........cccssssssecssscesssoveseareres 45 DPIVINg NOT pS SHUI ANOIVSISU se|eu e .eps ee 45 ELORCTE SCQUCHGES < MErn Sate. ues Seen ee 54 OUNMNS INE BICAKSocnencosss0 ee Rise ee Be ee 2s) EMOUADINILY Of BI OBEN, SEQUCNCES 00a eee ect ee 59 DraKenisequences Dy. COMPULEIiit. teenieeee cee 60 PEC LNOL EeI UGS, SITIOS AGB OX MOUS wens. rete ee 61 PATI TLEVID LO LOT OMG ch etait tia cate fons oases eee ee ate eee 64 Chapter 4 - Exploiting Shufflles ............ssccssssscsssssereesscesees 66 Applying Hannum ’s Shuffling ANALYSIS .......2c00sc0evereere 66 SIC MleS IRO TEINGNAOMMES Sa 2 scapes -opsondescewsir apr er 69 VACHS SILI CW) COIICSSC S Sc cacoacerr ceares ncetr ernsseeeece a ce 72 HoweReliable Are the Weaknesses? t.nccusss.nvsosasevacsenncnn/242- 74 Prearcine Exel POsitions Of CATAS 0. sse.-oh-ticecns-ncnseosntte 76 MCN OTN OICI IU ite voce pve alae naan dace rads oieh sere danevegetr ana si Table of Contents Chapter 5 - Locating ACES ........sssseseesesssssrsrenseerencensesensnees 79 ACE LOCALION Wsicucsc a eee eric nee, eae eee 79 ACE SIUGS «.ncncnnsnnsect tis Does tay settee e ten Met dae Oana ates ee era 80 A Stepladder Shuffl ei a eve cetacean eee &3 4 Two-Pass ComboiShufflese. ee eres eee 85 The. Greek Syndicate:.:, eee cee ne eee 8&7 Chapter 6 - Predicting ACES ..........:cssscssssseerecerssserssenesseees 89 Card PeGQiCtiOn caro ea ee coe eee 8&9 The Prediction Problemac ae ea ee eee 90 Applying Epstein 's Prediction Theorem..w255-..-veae= 91 ine Prediction Problem S0ived. 122.2500 94 A Prediction Rule nmin RRR ee 96 How to. Memorize-Key Cards) 96 Memorizing the Target Ace. pom. a eee ee ee 97 ISLCETING LCA CES se cnscirastasetn aaetea ncnniy 99 ECUS CA CN. C CICS en rss Stia 6 eree 100 POULET CAPASSO aA nD RT tO a 102 Putting ICANT O@eihery. «ance ee ete ee ee 104 Te: GUrse: OF WONG a. cexacscur, oes eee Genre ete nee 106 8 Table of Contents