All rights reserved.Ĩ88 Holdings plc is listed on the London Stock Exchange. The following tables give the CA by simulation for the following rule sets:Ĭopyright 2021, the 888 Group. The results I present below were obtained by simulations of four billion (4,000,000,000) hands of blackjack each. LSR (late surrender), player can surrender his initial two cards after the dealer checks for blackjack.DAS (double after split), player can double after splitting.DOA (double on anything), player can double on any first two cards.In what follows, I use the following abbreviations: In this post, I present CA by simulation for six other blackjack rule sets. In other words, he ran a bunch of rounds, recorded the number of times each event occurred, imported that data into a spread sheet, and completed his analysis from there. I asked Mike how he did his CA and he told me that his results in Appendix 4 were obtained by simulation. Recently, a reader of this blog asked if I knew a program that gave the CA for other rule sets. I used Shackleford’s work in my analysis of Don Johnson’s method for beating loss rebates (see this post). In that appendix, Mike Shackleford gives the combinatorial analysis (CA) for the version of six-deck blackjack most commonly played by high-rollers. One of the most valuable resources for researching blackjack is appendix 4 at the Wizard of Odds website.

Best simulation games for blackjack