3 WAY ACTION
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December 13th, 2022 at 8:24:44 AM
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In https://wizardofodds.com/games/video-poker/tables/three-way-action/ several pay tables are listed. South Point has this game and the payouts for the 5 card Deal has a payout of 2,000 for RF whereas all the paytables listed all pay 4,000.
In SP the payout for RF in 5 card draw is 250 but in all of the listed paytables the RF it pays 800.
For 7 card Hand the payout in the paytables for 4A + 3 2-4 is 4,000 but at SP it is only 2,000.
The rest of the SP payouts match the 1st tables listed by TheWizard except in 5 card deal the payout for a straight 9 at SP but is 8 in the 97.533 table.
Can anyone calculate what the % for the South Point payouts are and if one should still follow the stragey listed
In SP the payout for RF in 5 card draw is 250 but in all of the listed paytables the RF it pays 800.
For 7 card Hand the payout in the paytables for 4A + 3 2-4 is 4,000 but at SP it is only 2,000.
The rest of the SP payouts match the 1st tables listed by TheWizard except in 5 card deal the payout for a straight 9 at SP but is 8 in the 97.533 table.
Can anyone calculate what the % for the South Point payouts are and if one should still follow the stragey listed
December 15th, 2022 at 10:18:19 PM
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Were you looking at the return for max bet? Given that the 3 jackpot hands are less than expected, it sounds like you were looking at the return for a smaller bet size.
> The rest of the SP payouts match the 1st tables listed by TheWizard except in 5 card deal the payout for a straight 9 at SP but is 8 in the 97.533 table
Why are you comparing to the 97.533 table, you said you were talking about differences to the first table, which is 99.291 and does show 9 for a dealt straight.
> The rest of the SP payouts match the 1st tables listed by TheWizard except in 5 card deal the payout for a straight 9 at SP but is 8 in the 97.533 table
Why are you comparing to the 97.533 table, you said you were talking about differences to the first table, which is 99.291 and does show 9 for a dealt straight.
December 16th, 2022 at 11:33:02 AM
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If you assume 1 unit bet per hand:
The Impact of dropping the dealt RF from 4000 to 2000 is easy to compute (4 hands of every 2598960 deals). So cutting that payout in half drops EV of the deal from 0.970414 to 0.967336.
For changing the RF on draw from 800 to 250, and 4A+3(2-4) from 4000 to 2000, I ran that through my code and that showed with optimal play a return of 0.969528 and 1.0248018 for the 5 and 7 card hands respectively.
That gives a total EV for the 3 hands of 2.961666 or a return of 98.722%, a drop of about 0.57%.
> if one should still follow the stragey listed
Looking just at the EV of the 5+7 draw hands, since that’s the only thing strategy can impact, there’s a drop of 0.013995 vs the ‘normal’ game. If you just play optimal strategy for the normal game, you would get a 0.014215 EV drop. So not changing strategy would cost just 0.00022 or 0.00734% of the total bet.
This game has some weird optimal holds (ex suited A2) and the wizard strategy has some simplifications (Ex: Other than QJ, holding two unsuited high cards may be the wrong thing, especially when one of them is an ace)
so that small difference is probably tiny compared to the loss from other non optimal plays.
The Impact of dropping the dealt RF from 4000 to 2000 is easy to compute (4 hands of every 2598960 deals). So cutting that payout in half drops EV of the deal from 0.970414 to 0.967336.
For changing the RF on draw from 800 to 250, and 4A+3(2-4) from 4000 to 2000, I ran that through my code and that showed with optimal play a return of 0.969528 and 1.0248018 for the 5 and 7 card hands respectively.
That gives a total EV for the 3 hands of 2.961666 or a return of 98.722%, a drop of about 0.57%.
> if one should still follow the stragey listed
Looking just at the EV of the 5+7 draw hands, since that’s the only thing strategy can impact, there’s a drop of 0.013995 vs the ‘normal’ game. If you just play optimal strategy for the normal game, you would get a 0.014215 EV drop. So not changing strategy would cost just 0.00022 or 0.00734% of the total bet.
This game has some weird optimal holds (ex suited A2) and the wizard strategy has some simplifications (Ex: Other than QJ, holding two unsuited high cards may be the wrong thing, especially when one of them is an ace)
so that small difference is probably tiny compared to the loss from other non optimal plays.
