Hey guys, just for funzies I decided to try to recreate Julian Braun's Chart B21 simulation, as published in Lawrence Revere's book "Playing Blackjack as a Business," presumably Braun's source code is lost to the masses, he probably wrote it in Fortran, but who knows. So with my code, I just ran 15,000,000,000 simulations of 100,000 hands each, and in a lot of places I match Braun's result, but also in a lot, I don't. With reference to the attached image, the white results match Braun's where the red results do not. The simulation as published by Revere is to show how many times a player will be dealt every two card total versus each dealer's up card. Player's two card dealt hand are shown down the left, dealer's up card is across the top. I don't really want to show Braun's results from the book, because it's copywrited, but google has the page scanned on google books, if anyone's interested enough to look. Had fun writing this simulation, was surprised to see so many differences from Braun's result, although since he was using a 1960s ALU whereas mine is modern, that would doubtless account for the minor differences, but some of the differences are significant. 
