After a lot of work the tables for 2 player outcomes are ready: Infinite Deck............Dealer H17S18..................Dealer H17S17 A.......B Win - Win.................. .2888 ........................... .2883 Win - Push................. .0239 ........................... .0244 Win - Lose................. .1193 ........................... .1202 Push - Win.................. .0239 ........................... .0244 Push - Push................. .0120 ........................... .0120 Push - Lose................. .0511 ........................... .0510 Lose - Win.................. .1193 ........................... .1202 Lose - Push................. .0511 ........................... .0510 Lose - Lose................. .3106 ........................... .3085 The above table does not distinguish between BJ wins and regular single bet wins. The program goes through every possible starting hand and plays each hand according to the correct basic strategy for hitting and standing. No double or splits alowed. The table below separates the BJ wins and the regular single bet wins Infinite Deck...........Dealer H17S18.....................Dealer H17S17 ..A........B WBJ - WBJ................... .0021 ............................ .0020 WBJ - Win.................... .0183 ............................ .0184 WBJ - Push................... .0040 ............................. .0040 WBL - Lose................... .0206 ............................. .0206 Win - WBJ.................... .0183 ............................. .0184 Win - Win..................... .2501 ............................. .2495 Win - Push.................... .0199 ............................. .0204 Win - Lose.................... .0987.............................. .0996 Push - WBJ.................... .0040 ............................. .0040 Push - Win..................... .0199 ............................. .0204 Push - Push................... .0120 ............................. .0120 Push - Lose................... .0511 ............................. .0510 Lose - WBJ.................... .0206 ............................. .0206 Lose - Win..................... .0987 ............................. .0996 Lose - Push................... .0511 ............................. .0510 Lose - Lose................... .3106 ............................. .3085 Using this big table you can construct the top table 4.2 where the wins are combined. Also the 4.1 tables (for one player) may also be constructed. There will be some discrepancies between tables due to rounding. However it occurs only in the 4th decimal place by one digit. The tables for 1 player take about 25 seconds to run. The tables for 2 players take about 2 hrs to run. A table for 3 players would probably take a month to run. ............................................BlueLight
I don't know how I never commented on this immensely useful post before. I used it (again) today while writing an article. Thanks BlueLight! Post is now sticky. I'm sure there are other similar threads that should be stickied.
great help Yes, indeed BlueLight's tables are of great help. I, in particular enjoy the table for 4 players, from which one can reduce all needed situation for 3 or 2 players, as well. Ken, you may consider sticky 4 players table, for others to have it handy. Thanks BL, S. Yama
Thanks for doing that, Ken. In the past I've searched for these using the keyword 'Table', which unfortunately is probably the single most used word on the forum! Other threads in the series, which you might consider making sticky - https://www.blackjacktournaments.com/threads/4279 https://www.blackjacktournaments.com/threads/5036 https://www.blackjacktournaments.com/threads/5353
