ksdjdj
ksdjdj
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December 6th, 2021 at 7:50:19 PM permalink
Hi,

I have been playing BJ Challenge a couple of days per week for the past few months because of promotions on Monday and Tuesday night at my local casino, and I want to check if there are possible errors in the Basic Strategy , see link below:

link

Note: The rules for the game are the same as the rules in the above link.

The possible errors I want to check are:

1) Hard 17 vs 8 : I think it is ~2.50% better if you stand (compared to hitting)
2) Hard 16 vs 9: I think it is ~1.25% better if you stand (compared to hitting)

Also, I am a bit less confident about the possible errors below :

A) Splitting 10's vs 4 (instead of standing)
B) Splitting 10's vs 5 (instead of standing)

Lastly, I haven't checked these decisions myself, but I still think they are worth looking at:

I) Hitting a pair of 8's vs A (instead of splitting)
II) Standing on a pair of 8's vs 10 (instead of splitting)
III) Standing on a pair of 8's vs 9 (instead of splitting)
IV) Splitting 10's vs 3 (instead of standing)
V) Splitting 10's vs 2 (instead of standing)

Note : I mainly used the figures from http://www.bjstrat.net/cgi-bin/cdca.cgi to work out the EV's of each player decision.

Thanks in advance
Last edited by: ksdjdj on Dec 6, 2021
ksdjdj
ksdjdj
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December 6th, 2021 at 9:16:11 PM permalink
Quote: ksdjdj

(snip)
IV) Splitting 10's vs 3 (instead of standing)
V) Splitting 10's vs 2 (instead of standing)
(snip)
link to original post


I just checked, and it looks like standing on a pair of 10's is correct against a 2.
But, I think splitting 10's against a 3 is likely the correct play.
ksdjdj
ksdjdj
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Joined: Oct 20, 2013
December 7th, 2021 at 3:56:35 PM permalink
Update:
Just want to verify if this is the "right way to work out overall value for splits"? (See example below for standing or splitting 10's vs 3).

Note: you can split up to 3 hands, and you can split any two cards that have a value of 10 each, so 10-10, 10-J, and Q-K can are just three examples of what can be split.

Standing = +52.67% ^^^ (64.80% 'playing a normal blackjack game' less 12.13% 'because the player loses on ties')

^^^: figures used from this website >>> http://www.bjstrat.net/cgi-bin/cdca.cgi

Splitting = +53.50% (21.32% per split 10's, with the average number of split hands being ~2.5095***)

***: This is just an approximation, using ~29.97% as the chance of getting a '10 value card' as the next player card.

Below is a table showing the value of splitting 10's vs 3
Note: In the table below, I have taken out a 3 and a total of 4 x '10 value cards" in a 6-deck game
Note 2: Remember I multiplied the 'Per Split EV' by ~2.5095, to get the overall EV of +53.50%, for splitting that hand.

Card Chance EV Chance x EV
A 7.82% 200.00% 15.64%
2
7.82%
-26.39%
-2.06%
3 7.49%
-26.36%
-1.97%
4
7.82%
-26.13%
-2.04%
5 7.82%
-26.09%
-2.04%
6 7.82%
-26.14%
-2.04%
7 7.82%
-26.19%
-2.05%
8 7.82%
0.98%
0.08%
9 7.82%
27.08%
2.12%
10-J-Q-K 29.97%
52.39%
15.70%
Chance - % Total > 100.00%
Per Split EV > 21.32%


Again, I am not very confident doing this, so please tell me if this is correct, thanks.
Last edited by: ksdjdj on Dec 7, 2021
BigDaddy316
BigDaddy316
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December 9th, 2021 at 7:57:56 AM permalink
Be sure that you have the right chart. There are slightly different strategies, depending on game rules.
ksdjdj
ksdjdj
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Joined: Oct 20, 2013
December 9th, 2021 at 12:41:30 PM permalink
Please check for viruses before and after downloading any files from the internet.

Below is a link to my public one-drive folder:

one-drive

. The relevant files are: bj_chllng.ods and bj_chllng.xls (only need to open one of these files)
. For the "20 vs 3 to 6" sheets, I have taken out an X*** and a total of 4 x '10 value cards" in a 6-deck game.
***: Where X is the relevant dealer up card.
. Feel free to check and correct any errors, thanks.

----
Extra Info:
The EV is so close on splitting and standing on 20 v 3, that if you are playing and notice a single Ace on the table, then it may sometimes be better to stand than to split 10's.

To repeat, what I said/implied in earlier posts, I am fairly confident that I worked out the "17 v 8" and "16 v 9 EVs" correctly, but I am not as confident with my "splitting 10's EVs".
Last edited by: ksdjdj on Dec 9, 2021
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