Players Basic Strategy Totals

**buzzard** · 12-24-2012, 07:35 PM

Just wondering if anybody knows the following : Single deck, no insurance, no surrender, dealer s17, split up to 4 hands, except A, only one card on A.

What are approximate % of player total being 17,18,19, 20 ,21 ( exclude BJ ) ?:

**Gronbog** · 12-26-2012, 10:36 AM

I generated this chart using my own software from a simulation of 2 billion hands heads up vs the dealer with 45% penetration. Note that player totals less than 12 vs a dealer blackjack are not included.

The numbers in the "Total" column are what you have asked for. This chart is for unsplit, not doubled hands only, however, the numbers are percentages based on all of the simulated hands. So, for example, one ends up with an unsplit, not doubled 17 10.3627% of the time.

Do you also want the numbers for doubled, split and split+doubled hands?

Code:

Hand Total Profile for Spot 1, Not Doubled, Unsplit Hand 1
Dealer Hand         17        18        19        20        21        BJ      Bust     Total
Player Hand --------------------------------------------------------------------------------
        12 |   0.3057%   0.2489%   0.2542%   0.2392%   0.2376%   0.4610%   0.9263%   2.6728%
        13 |   0.5052%   0.4432%   0.4363%   0.4212%   0.4130%   0.4708%   1.4649%   4.1546%
        14 |   0.4494%   0.4049%   0.3981%   0.4113%   0.3652%   0.4289%   1.2988%   3.7565%
        15 |   0.4604%   0.4045%   0.4002%   0.3803%   0.3700%   0.4035%   1.3179%   3.7368%
        16 |   0.6072%   0.5626%   0.5622%   0.9683%   0.3839%   0.3658%   1.5202%   4.9703%
        17 |   1.5380%   1.5039%   1.4785%   2.0112%   0.7116%   0.3379%   2.7816%  10.3627%
        18 |   1.4964%   1.3894%   1.3663%   1.8643%   0.6578%   0.2988%   2.5355%   9.6084%
        19 |   1.5638%   1.5102%   1.4349%   2.0039%   0.6952%   0.2736%   2.7019%  10.1835%
        20 |   2.1326%   2.0448%   1.9873%   2.6079%   1.0065%   0.4365%   3.7535%  13.9691%
        21 |   0.5344%   0.5276%   0.5227%   0.7867%   0.1933%   0.0000%   0.8170%   3.3818%
        BJ |   0.3404%   0.3006%   0.2758%   0.4393%   0.0000%   0.1577%   0.0000%   1.5138%
      Bust |   1.6642%   1.6313%   1.5134%   2.3785%   0.0000%   0.0000%   0.0000%   7.1875%
-----------|--------------------------------------------------------------------------------
     Total |  11.5978%  10.9718%  10.6299%  14.5120%   5.0341%   3.6346%  19.1175%  75.4977%