QUADGOD
QUADGOD
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April 2nd, 2024 at 6:05:15 PM permalink
I have recently been playing Split Card Video Poker. I play DDB 9-6 and AIRPORT DEUCES (10 play @10c--$10 per deal). I've done some research on this game (including an old thread here) and the Wizard's discussion of the game. Back in 2015, the Wizard indicated he was going to try to get the payback percentages for the games from IGT, but I don't see anything there. Does anyone know what the payback percentages are on this game? Same question about strategy (I did see one post from 2016 regarding strategy, but it seemed incomplete and was hard to decipher)---anyone know where you can find strategy for the game? Finally, I was wondering what the odds are for a split-card dealt 4OAK. I've had days (7-8 hour days) where I got 12 dealt 4OAK's and days where I've only had 3 or 4. Also, what are the odds for a split-card dealt 5OAK (which I haven't had yet) and split-card dealt RF. Your responses are appreciated.
gordonm888
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gordonm888
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April 2nd, 2024 at 8:19:56 PM permalink
Wow. I had not heard of this game before. This will actually be difficult to analyze. Every 5 card combination for a starting hand will have 1+5*3=16 variants
___-No split cards (75% probability)
___- Each of the 5 cards can be a split card with three variants for what the second card on the split card is.

Then in the cases where there are no split cards in the starting hand, there can be a split card in the drawn cards, with three different variants for each card.

And there appears to be no published basic strategy.

What do you do when the split card is 3c|2c and the other 4 cards are JhTh6s5d? Draw 2 to 6,5,3|2? Or draw 4 to 3c|2c? Or draw 3 to JhTh?

I think an initial analysis should be analyzing what the outcomes are when you draw 4 cards to all 39 possible split cards (recognizing that the suits are fungible.)
Last edited by: gordonm888 on Apr 3, 2024
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
VladAlex1
VladAlex1
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April 3rd, 2024 at 4:31:00 AM permalink
https://wizardofodds.com/games/video-poker/tables/split-card-poker/

https://youtu.be/8jgcori4g0Y?t=82
Id rather have to be a lucky player than good one.
gordonm888
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gordonm888
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April 4th, 2024 at 11:17:11 PM permalink
I have been started analyzing this Split Card Video Poker game by calculating the EV when you draw 4 cards to a split card. A word about nomenclature; for a split card I use:
Jc|Qc
where the card on the left was the card removed from the deck; the card value on the right is the 2nd value assigned to the split card. In this example, the Jc was removed from the deck but a 2nd Qc still remains in the deck and is eligible to appear on the draw.

Drawing 4 cards to a split card:
Qc|Jc and Jc|Qc: EV= 0.69908
Jc|Tc: EV= 0.46395_________Tc|Jc: EV= 0.53353
Tc|9c and 9c|Tc: EV = 0.21255

Jc|Jc: EV= 2.21725
Tc|Tc: EV= 1.26348
9c|9c: EV= 1.25544
I expect that 8c\8c, 7c|7c, and 6c|6c will all have an EV = 1.25544, identical to the EV of 9c|9c
These values do not reflect the 1 unit fee that must be paid to have the split card option so in a practical sense you should subtract 1.0 from these calculated EVs.

Also, one would expect that the fact that you are drawing 4 cards to a split card implies that you have been dealt a split card and discarded 4 other singletons. I calculate that the removal of four singletons would increase these EV values by approximately 0.10
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
gordonm888
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gordonm888
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April 5th, 2024 at 3:20:52 PM permalink
I neglected to mention the payout table I assumed in my calculations. It is the table labeled as Bonus Poker 96.87% in the WOO article on split card video poker.

ROYAL FLUSH 800
STRAIGHT FLUSH 50
FIVE OF A KIND 300
4oak Aces __80
4oak 2s-4s ___40
4oak 5s -Ks _25
FULL HOUSE __6
FLUSH ______5
STRAIGHT __4
3oak ____3
TWO PAIR __________2
JACKS OR BETTER 1
LOSE ______________-1

Changing paytables is trivial and all calculations would be instantly changed.
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
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