https://blog.vidpoke.com/2021/10/15-wheeler-9-7-triple-double-bonus.html

I dont play video poker much and only Jacks or better when I do. ButQuote:FiliusBruceI tried figuring out the best basic strategy in 9/7 Triple Double Bonus, and my code is still running! I wrote about the problem here:

https://blog.vidpoke.com/2021/10/15-wheeler-9-7-triple-double-bonus.html

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I read the beginning of your blog:

Quote:blogFor example, 345 is on average better to hold than 55, 55 is better to hold than 789, 789 is on average better to hold than 77, and 77 is better to hold than 345.

Either I missed something, or it sounds like youre saying:

A > B, and

B > C, and

C > D, AND

D > A !

Um, really?

Quote:DJTeddyBear

Either I missed something, or it sounds like youre saying:

A > B, and

B > C, and

C > D, AND

D > A !

Um, really?

Yes, that's exactly what I'm saying. This also happens in other video poker paytables, but it's usually less than 15 hands participating in such loopy relations. 9/5 Triple Bonus Plus has a group of 12, for example, which I've written about here:

https://blog.vidpoke.com/2021/10/a-computer-perfect-strategy-for-95.html

Quote:DieterCould various penalty card combinations shift it that much?

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I'm not sure I understand your question, but if you look at penalty cards, you can find an exact rule. For example, in the Dancer/Daily notation, this is what I have found for 9/7 Triple Bonus:

[...]

SF3 +1; SF3 +0 ... (SF3 0hi 0i < 55TT when sp)

............................ (JT8, J98 < 77) (QT9 < 88)

low pair: 55TT

[...]

It's being restricted to basic strategies that makes the problem complicated.

Quote:FiliusBruce

It's being restricted to basic strategies that makes the problem complicated.

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Ahh, sorry. I thought you were working on a more complex strategy.

15 wheels doesn't terribly surprise me... I take it you're basing your EV comparisons on simulation results?

Quote:Dieter

Ahh, sorry. I thought you were working on a more complex strategy.

I have created a computer perfect strategy for the game too, penalty cards and all. But interestingly, that was easier to come by. Figuring out the basic strategy with the highest return is a much harder problem.

Quote:15 wheels doesn't terribly surprise me... I take it you're basing your EV comparisons on simulation results?

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No. I'm doing exact math. Video Poker is simple enough, one can calculate the exact probability.

It promises to be fascinating.

https://blog.vidpoke.com/2021/10/best-basic-strategy-for-9-7-triple-double-bonus.html

Quote:FiliusBruceMy software finished running, and now I have the "best" basic strategy for 9/7 Triple Double. I wrote about it here:

https://blog.vidpoke.com/2021/10/best-basic-strategy-for-9-7-triple-double-bonus.html

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Can you explain it like Im five - I hope you dont get sued by reddit

The hierarchy of the entire tree is obvious but is 789s priority higher than 456s?

8TJ greater than 89J?

Or are their levels equal in priority if I I encounter these situations?