December 6th, 2021 at 7:50:19 PM
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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

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

December 6th, 2021 at 9:16:11 PM
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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.

December 7th, 2021 at 3:56:35 PM
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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.

Again, I am not very confident doing this, so please tell me if this is correct, thanks.

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

December 9th, 2021 at 7:57:56 AM
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Be sure that you have the right chart. There are slightly different strategies, depending on game rules.

December 9th, 2021 at 12:41:30 PM
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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".

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