Peter was the math genius who first proposed using the mathematical shortcuts developed by statisticians for estimating answers to highly complex problems in analyzing and comparing blackjack card-counting systems. He was the first to break down the potential gains available from any card-counting method to two prime factors: the betting correlation (ВС) and the playing efficiency (PE). These two parameters facilitated highly accurate estimation of any system’s potential win rate in any game using any betting spread, without extensive computer simulations. He described how these methods could be used to evaluate the differences between single-level and multi-level counting systems, as well as the value of using multi-parameter methods (keeping more than one count). This book was a milestone for system researchers, developers, and players as the most important analysis of card-counting systems since Thorp’s Beat the Dealer. (more…)


Al is one of the most highly respected blackjack players in the history of the game. This is the guy who literally invented team play at blackjack and taught Ken Uston how to count cards. Ken once said to me, “I owe everything to Al, Arnold. He really might be the greatest blackjack player there ever was, and he’s also a real gentleman.”
Julian Braun died in 2000 and his only book, How to Play Winning Blackjack, is long out of print. For ten years in the early days of card counting, he did a vast amount of the computer work for some of the top authors. He did the program-ming for the second edition of E.O. Thorp’s Beat the Dealer. His programs were used to develop all of Lawrence Revere’s systems, as well as the Hi-Opt systems. Of the “pre-Stanford Wong” professional players (the pros playing before the first edition of Wong’s Professional Blackjack came out in 1975), most were using either Thorp’s Ten-Count, Thorp’s Hi-Lo, Hi-Opt I, Hi-Opt II, Revere’s Point Count, Revere’s +/-, or Revere’s Advanced Point Count. These were the most popular and widely dissemi-nated systems in use for about ten years, and Julian Braun’s programs were used to develop all of them!