Video Poker game with 205% return.

WoV forum, meet American Poker Gold. It is a joker poker game with a pay table that starts with a pair of jacks. The other pays are pretty generous too. Here are some screenshots to prove it.

The rules:



Pay Table:



Don't believe this game actually has a joker? Here is a winning hand for you:



I had to do a little recoding of my joker poker program to handle these unusual rules. Not just change the lowest hand from kings or better to jacks but also that strange rule about a royal flush needing a natural ace. I assumed that if the player got 10-J-Q-K-joker it paid the same as a straight flush. That said, here is my analysis of the game under optimal strategy.

Hand	Pays	Combinations	Probability	Return
Five of a kind	1000	2,256,936,600	0.000092	0.091862
Royal flush (must have ace)	600	2,838,694,980	0.000116	0.069324
Royal flush (wild ace)	200	542,940,840	0.000022	0.004420
Straight flush	200	17,333,211,960	0.000705	0.141099
Four of a kind	50	205,489,710,660	0.008364	0.418191
Full house	15	377,827,957,620	0.015378	0.230675
Flush	10	472,282,725,420	0.019223	0.192228
Straight	5	423,189,351,984	0.017225	0.086123
Three of a kind	3	3,191,277,399,780	0.129891	0.389673
Two pair	2	2,661,271,749,720	0.108319	0.216638
Jacks or better	1	5,066,169,132,756	0.206203	0.206203
Nothing	0	12,148,385,708,880	0.494463	0.000000
Total		24,568,865,521,200	1.000000	2.046436

Unlike the Mission2Game blackjack game (with a 0.75% player advantage), let me make it perfectly clear that this time you are on your own. If you want to play it, you can find the game at the Diamond World casino. I'm not even going to give you a link, lest anybody interpret it that we're making money off of it. If you lose, please don't come crying to me.

The game is by a software company I've never heard before called Wazdan.

A couple other red flags, as if we need more:

1. The game mentions it is multi-line, but in my experience it is a single-line game.
2. Why does an "American" game use a French deck of cards (they use a D instead of a Q for a queen)?
3. It was a nightmare trying to install the proper plug-in and use it in Google Chrome. If you want to try it out, I suggest Internet Explorer.

The game can be played in free mode. If any of you give it a try, let me know how you did. This software is full of other unusual games as well. Like a version of video poker with two draws and a joker that starts with a two pair win at 3 for 1. That has got to have a return over 200% as well, but would be a major ordeal to code.

The question for the poll is would you play this game?

Quote: Wizard

...The question for the poll is would you play this game?

If IGT put it in a casino, yes. On that website, ARE YOU CRAZY?!?! :-)

Quote: Ibeatyouraces

If IGT put it in a casino, yes. On that website, ARE YOU CRAZY?!?! :-)

That mirrors my question... how do you cash out?

Quote: Dieter

how do you cash out?

You ask for your money and they send you a check.

Save your dough,
this is under terms and conditions,

2. The player warrants and represents, at all times, not to:

• be citizen of The United States of America;

• be resident of The United States of America.

Sure they will let you sign up... but cashing outs gonna be a problem. :)

Quote: rainman

cashing outs gonna be a problem. :)

Quote: Diamond World Casino website

I. Sanctions for Misconduct

In the event of misconduct by a player, the company reserves the right to (...) retain the player’s credit on the player account and any illegitimately won prizes at the player’s cost.

Yeah. I, as a US Citizen and US resident, may find cashing out difficult.

So, no.

Any trustworthy known member. Someone who's a non US citizens, someone who's eligible to play this, or someone who knows how to get around that problem. If you're interested in playing this contact me ASAP (it wont last long). I'll make you a good deal.


@ 205% you'll know within a very very short period of time if its gaffed or not. I'm willing to take that risk. Even if you're not a VP player that's not a problem. Mistakes and perfect play shouldn't even be a factor.

I have seen mistakes made with successful outcomes on stuff like this.

Perhaps we can actually get some screen recording Video of the play and analyze everything.

HELP!

chrome://flags/#enable-npapi

I looked though the list a few times, I don't see NPAPI anywhere.

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Quote: AxelWolf

HELP!

chrome://flags/#enable-npapi

I looked though the list a few times, I don't see NPAPI anywhere.
(...)
Sorry, this experiment is not available on your platform.

It's almost as if Chrome disabled NPAPI in April 2015.

I saw and did the option to enable Npapi. However, the games still didn't work in Chrome. Thus, my suggestion to use IE instead.

The site looks quite archaic. I think I'll sit this one out with the "NO US... WE CAN KEEP YOUR MONEY" rules.

Cool find though Wiz. Intriguing games indeed. I wonder why they call it "American Poker" when no Americans can play and it's a French deck as you pointed out...?

EDIT - Anyone else try to play in IE? I made a dummy account just to mess around and check it out, but it's telling me I need to install "Unity Web Player" even in I.E.

UPDATE....

So I'm playing "for fun..." and I noticed something quite interesting. Say you get dealt A-A-10-6-2 rainbow... If you want to hold the AA and draw, you have to PAY again. Essentially this is a single draw game, where you have to pay your specified amount to draw on your hand.

So if you get a redraw on your first 5 cards... When you hit "Start" you're starting a new game and can then hold your next 5 cards and re-draw again as well basically.

Another Example: You get dealt 4-4-8-8-K. You keep the 4-4-8-8 and have to pay 1 unit to draw. Say you miss the full house... Well now you've bet 2 units and won 2 units... Push.

Me thinking that's gonna drop this 205% EV down pretty quick. I've also noticed some other weird pays where sometimes I got 3-1 for 2 pair and stuff... Either buggy or more rules we don't quite understand?

ESSENTIALLY, this is a NO DRAW game. You pay 1 unit and you get 5 cards. If you want to "collect" on your first 5 cards you can. If you want to keep any and draw, you pay another unit. If you get dealt a garbage hand, you pay 1 unit and start over (no draw on the garbage hand).

p.s. Wiz, you can up the number of lines by clicking on the BET, LINES section. You can play 1-5 lines and bet up to 30 per line.

...I've been using a slightly intuitive/modified strategy and burned through 3 buy ins of $100 in about 25 minutes (betting $1 per line). About 25% single line and 75% 3-play. The strategy must be quite different as if you're dealt nothing but a high card, why would you pay the full amount to draw to it and not just pay the full amount to "start over?"

Not that it matters in such a small sampling size, but I just went 1 for 45 drawing on a pair and failing to hit trips.

If you don't have enough to "draw" then it lowers your bet per line... I.E. Bet max 5 lines 20 per line ($100 bet)... get dealt A-A-A-9-2... If you only have $50 left, then you can draw on your AAA for $50, but it reduces your bet per line to $10 and that's what your payouts are based on instead of your original $100 (20/line) bet. Yes, I checked and you can't do it the other way to bet $1 per line then draw on $20/line and try to get paid on that. =)

Quote: Wizard

I saw and did the option to enable Npapi. However, the games still didn't work in Chrome. Thus, my suggestion to use IE instead.

What's IE ;-)

Quote: Romes

EDIT - Anyone else try to play in IE? I made a dummy account just to mess around and check it out, but it's telling me I need to install "Unity Web Player" even in I.E.

I installed that when I was trying to play in Chrome. Maybe that is why I could play in IE.

Quote: Romes

UPDATE....

So I'm playing "for fun..." and I noticed something quite interesting. Say you get dealt A-A-10-6-2 rainbow... If you want to hold the AA and draw, you have to PAY again. Essentially this is a single draw game, where you have to pay your specified amount to draw on your hand.

Good catch! Thank you. I never noticed that as I wasn't paying any attention to my balance. Looks like I owe the casino an apology for questioning either their competence or integrity.

Let me go back to my program for this game and recalculate it under the rule where you have to pay for a draw.

Quote: Wizard

I never noticed that as I wasn't paying any attention to my balance.

And, the world is right again!

I'm surprised AxelWolf has Google Chrome....I'd expect him to have something like Netscape...

Okay, here is my updated table based on the rule of having to bet again for the draw. This shows the total returned assuming the player had to pay two units up front and got a unit back for declining the draw.

Total weight =	Bet	Pays	Combinations	Probability	Return
Royal flush (must have ace)	1	601	171,230,400	0.000007	0.004189
Five of a kind	1	1001	111,299,760	0.000005	0.004535
Royal flush (no ace)	1	201	34,246,080	0.000001	0.000280
Straight flush	1	201	1,541,073,600	0.000063	0.012608
Four of a kind	1	51	-	0.000000	0.000000
Full house	1	16	56,095,079,040	0.002283	0.036531
Flush	1	11	50,204,753,280	0.002043	0.022478
Straight	1	6	153,799,145,280	0.006260	0.037560
Three of a kind	1	4	-	0.000000	0.000000
Two pair	1	3	-	0.000000	0.000000
Jacks or better	1	2	-	0.000000	0.000000
Nothing	1	1	9,498,047,549,760	0.386589	0.386589
Royal flush (must have ace)	2	600	2,178,876,480	0.000089	0.053211
Five of a kind	2	1000	2,120,496,840	0.000086	0.086308
Royal flush (no ace)	2	200	415,402,680	0.000017	0.003382
Straight flush	2	200	14,665,162,380	0.000597	0.119380
Four of a kind	2	50	198,759,747,780	0.008090	0.404495
Full house	2	15	306,010,213,740	0.012455	0.186828
Flush	2	10	298,478,169,660	0.012149	0.121486
Straight	2	5	156,985,624,620	0.006390	0.031948
Three of a kind	2	3	2,845,545,339,780	0.115819	0.347457
Two pair	2	2	2,293,146,385,200	0.093335	0.186671
Jacks or better	2	1	2,827,089,771,660	0.115068	0.115068
Nothing	2	0	5,863,465,953,180	0.238654	0.000000
Total			24,568,865,521,200	1.000000	2.161003

So, a two-unit bet gets back 2.16 units.

The average bet is 1.60275 units. The net profit per hand it 0.161 units. The element of risk is -10.05%.

Before you go out and bet this, keep in mind there may still be other rules I misunderstanding, especially regarding wild royals.

Okay, I couldn't resist analyzing this too. I handled the extra bet by using the regular paytable when holding all five cards, and the same paytable with each payoff reduced by one when holding 0 to 4 cards. Initially I calculated a return of 99.95%, but that result was due to a major oversight in my code. After fixing the oversight and recalculating, my results now agree with Wizard's, even though they are expressed differently due to how we handled the paytable:

Bet	Outcome	Prize	Combinations	Probability	Frequency	Variance	Return
1	Five of a Kind	1,000	111,299,760	0.000005	220,745.00	4.519601	0.004530
1	Royal Flush	600	171,230,400	0.000007	143,484.25	2.499286	0.004182
1	Straight Flush	200	1,575,319,680	0.000064	15,596.11	2.535051	0.012824
1	Four of a Kind	50	0	0.000000	Never	0.000000	0.000000
1	Full House	15	56,095,079,040	0.002283	437.99	0.437269	0.034248
1	Flush	10	50,204,753,280	0.002043	489.37	0.159649	0.020434
1	Straight	5	153,799,145,280	0.006260	159.75	0.092258	0.031300
1	Three of a Kind	3	0	0.000000	Never	0.000000	0.000000
1	Two Pair	2	0	0.000000	Never	0.000000	0.000000
1	Jacks or Better	1	0	0.000000	Never	0.000000	0.000000
1	All Other	0	9,498,047,549,760	0.386589	2.59	0.521093	0.000000
2	Five of a Kind	999	2,120,496,840	0.000086	11,586.37	85.935671	0.086222
2	Royal Flush	599	2,178,876,480	0.000089	11,275.93	31.696842	0.053122
2	Straight Flush	199	15,080,565,060	0.000614	1,629.17	24.024608	0.122148
2	Four of a Kind	49	198,759,747,780	0.008090	123.61	18.514308	0.396405
2	Full House	14	306,010,213,740	0.012455	80.29	2.053114	0.174373
2	Flush	9	298,478,169,660	0.012149	82.31	0.746532	0.109338
2	Straight	4	156,985,624,620	0.006390	156.50	0.051500	0.025558
2	Three of a Kind	2	2,845,545,339,780	0.115819	8.63	0.081527	0.231638
2	Two Pair	1	2,293,146,385,200	0.093335	10.71	0.002419	0.093335
2	Jacks or Better	0	2,827,089,771,660	0.115068	8.69	0.155103	0.000000
2	All Other	-1	5,863,465,953,180	0.238654	4.19	1.114499	-0.238654
Totals			24,568,865,521,200	1.000000		175.140331	1.161003

Optimal strategy gives the player a 16.1% advantage.

Unicorns are everywhere. This casino doesn't have a pot of gold at the end of the rainbow. Just another conman behind a curtain of protection from US law.
No thanks, I'd rather buy an Illinois lottery ticket.

Quote: AxelWolf

What's IE ;-)

Internet Explorer

Please visit my new page on American Poker Gold.

As always, I welcome questions, comments, and especially corrections.

Quote: Wizard

Please visit my new page on American Poker Gold.

As always, I welcome questions, comments, and especially corrections.

Kind of makes me think of Extra Draw Keno, but for VP. If the casino or software ever became WoO Approved, and you published an Optimal Strategy, I'd certainly try this game, even if they modified it to make it a 99.5% game...as long as there was a decent Bonus going.

Quote: Mission146

If the casino or software ever became WoO Approved, and you published an Optimal Strategy, I'd certainly try this game, even if they modified it to make it a 99.5% game...as long as there was a decent Bonus going.

Come to think of it, the strategy may not be that bad. Just use JB's video poker strategy maker as a general guide. However, I'd have to figure out which hands are so trashy as to decline the draw and save a bet. That wouldn't be too hard.

Quote: Wizard

You ask for your money and they send you a check.

What recourse do you have if they simply refuse with no explanation.

Quote: terapined

What recourse do you have if they simply refuse with no explanation.

None that WoO would be providing as this is not currently a WoO Approved casino. Beyond that, I don't know.

Quote: Wizard

Come to think of it, the strategy may not be that bad. Just use JB's video poker strategy maker as a general guide. However, I'd have to figure out which hands are so trashy as to decline the draw and save a bet. That wouldn't be too hard.

It could also be played using your hand calculator, just changing the RFJ and Natural RF pays to be the same as a SF pay, when applicable and when how that Rule works could be determined. The Draw is essentially an extra bet, so much like Extra Draw Keno, take the Draw when the Expected Value is one unit or more with exactly one unit value (if possible) being optional.

Wait, the video poker hand analyzer doesn't handle the joker poker game that starts at a pair of jacks. Rather, it starts at a pair of kings, aces, or a two pair. Also, it doesn't handle the crazy royal flush rule about needing an ace.

Right, I forgot that it's Jacks or Better Joker Poker.

With Joker Poker the 2,869,685 hands boil down to 150,891 unique hands which is what my calculator analyzes.

For this game, I created an optimal strategy file containing these 150,891 unique hands and what cards should be held for that hand.

If anybody is interested, here is the link: apg-strategy.txt (3.77 MB) - you should right-click and Save As somewhere, then open it in your favorite text editor.

In the strategy file, the joker is indicated by a W with no suit.

Quote: JB

With Joker Poker the 2,869,685 hands boil down to 150,891 unique hands which is what my calculator analyzes.

For this game, I created an optimal strategy file containing these 150,891 unique hands and what cards should be held for that hand.

If anybody is interested, here is the link: apg-strategy.txt (3.77 MB) - you should right-click and Save As somewhere, then open it in your favorite text editor.


In the strategy file, the joker is indicated by a W with no suit.

Fantastic, JB. Thanks as always!

I found the site review on LCB for the aforementioned casino.

http://www.latestcasinobonuses.com/casinos/diamond-world.html

LCB seems to rate this casino decently, however if you scroll to the bottom, there are about 20 player reviews, most of them rating the casino very negatively.

I'm not sure what to make of this.

Quote: Neutrino

I found the site review on LCB for the aforementioned casino.

http://www.latestcasinobonuses.com/casinos/diamond-world.html

LCB seems to rate this casino decently, however if you scroll to the bottom, there are about 20 player reviews, most of them rating the casino very negatively.

I'm not sure what to make of this.

I would guess not to expect a 205% return VP game.

It's really strange that this thread would show up now, because I just returned from a vacation in Germany, and one night with friends, we ventured out to experience a German casino. Their idea of a casino is very different from ours, and the one we went to was very hot and it was basically a hallway with 8 or so slot machines.. which metered your cash into a credit bank so that you didn't lose too much at one time.

We found this video poker game... I had no idea at the time we were playing that it was taking cash on the deal AND the draw.... and I can assure you it paid out only on the amount bet on the draw. The amount bet on the draw could differ if your bank went below the deal bet... so essentially you were betting all that you had left in the bank.

Quote: rsactuary

We found this video poker game... I had no idea at the time we were playing that it was taking cash on the deal AND the draw....

Thanks! I should come up with a special term for this kind of game. I am heading to Germany soon and will look for it. Do you know what the rules specific anything about the royal flushes?

Here is a preview of another video poker game where the player pays for both the deal and draw. After your post, I may re-title it: Joker Poker (Wazdan Rules).

Here is my analysis of the German pay table two posts above.

Hand	Draw	Net win	Combinations	Probability	Return
Five of a kind	No	999	111,299,760	0.000005	0.004526
Five of a kind	Yes	998	2,136,956,580	0.000087	0.086804
Natural royal flush	No	499	34,246,080	0.000001	0.000696
Wild royal flush	No	499	171,230,400	0.000007	0.003478
Natural royal flush	Yes	498	430,717,320	0.000018	0.008730
Wild royal flush	Yes	498	2,047,256,640	0.000083	0.041497
Straight flush	No	199	1,541,073,600	0.000063	0.012482
Straight flush	Yes	198	14,793,436,020	0.000602	0.119220
Four of a kind	No	49	-	0.000000	0.000000
Four of a kind	Yes	48	201,160,452,240	0.008188	0.393006
Full house	No	11	56,095,079,040	0.002283	0.025115
Full house	Yes	10	200,079,366,300	0.008144	0.081436
Flush	No	8	44,006,212,800	0.001791	0.014329
Flush	Yes	7	260,199,539,160	0.010591	0.074134
Straight	No	6	153,799,145,280	0.006260	0.037560
Straight	Yes	5	228,436,655,040	0.009298	0.046489
Three of a kind	No	4	-	0.000000	0.000000
Three of a kind	Yes	3	2,899,689,705,000	0.118023	0.354069
Two pair	No	2	1,057,792,919,040	0.043054	0.086108
Two pair	Yes	1	1,396,955,264,760	0.056859	0.056859
Jacks or better	No	0	-	0.000000	0.000000
Nothing	No	-1	8,910,693,031,680	0.362682	-0.362682
Jacks or better	Yes	-1	2,954,723,482,260	0.120263	-0.120263
Nothing	Yes	-2	6,183,968,452,200	0.251699	-0.503399
Total			24,568,865,521,200	1.000000	0.460193

So, a player advantage of 46% per initial bet!

Quote: Wizard

So, a player advantage of 46% per initial bet!

Mickey Crimm just bought a plane ticket to Germany.

Quote: Wizard

...So, a player advantage of 46% per initial bet!

Wouldn't the strategy be wildly different though? As in none of us who know JoB, deuces, etc strat could sit down and just play this game. I'd imagine you'd simply dump hands more often instead of drawing on like one high card, since you have to pay again to draw.

How does the analysis for the game posted above compare to the site previously listed in the thread?

Thanks for your analysis Mike, for some reason the double pay is a bit confusing up front =P.

My assumption is the game in Germany is like other European AWP games that have a set pay back percentage and adjust the outcomes to meet the desired return. Not what we would consider a "fair" game.

Quote: Romes

Wouldn't the strategy be wildly different though? As in none of us who know JoB, deuces, etc strat could sit down and just play this game. I'd imagine you'd simply dump hands more often instead of drawing on like one high card, since you have to pay again to draw.

How does the analysis for the game posted above compare to the site previously listed in the thread?

Thanks for your analysis Mike, for some reason the double pay is a bit confusing up front =P.

You're welcome. Yes, the strategy would be very different than conventional video poker. JB posted a huge strategy file earlier in this thread for the Wazdan version.

Quote: DRich

My assumption is the game in Germany is like other European AWP games that have a set pay back percentage and adjust the outcomes to meet the desired return. Not what we would consider a "fair" game.

I don't know the gambling laws in Germany but that is my assumption too. Assuming it were fair, this game would get killed by a skilled player just going off common sense in terms of strategy. I also wonder if many the pays in the photo are for a get of greater than 100. In other words, a win on Jacks or Better of less than the wager. Can anybody translate the terms on the bottom of the machine. They look like:

geldspeicher
Punktespecher
Letzter Punke-Gewinn
Einsatz

Thank you.

Quote: JB

With Joker Poker the 2,869,685 hands boil down to 150,891 unique hands which is what my calculator analyzes.

For this game, I created an optimal strategy file containing these 150,891 unique hands and what cards should be held for that hand.

If anybody is interested, here is the link: apg-strategy.txt (3.77 MB) - you should right-click and Save As somewhere, then open it in your favorite text editor.

In the strategy file, the joker is indicated by a W with no suit.

Hi,
Just registered to try and tell my results. I was very pleased to see you'd give this strategy, however I can't find the sequence I'd like. For example how'd you find "Ad 6h 4s 8h 5s" in your text document ? If I ctrl+F and search for it, I can't find it, and neither can I with wordpad.
I don't live in the US nor am I an Us citizen so I'm curious to see if they are legit and will pay if there is indeed such a high percentage of return.

Quote: Tosma

Quote: JB

With Joker Poker the 2,869,685 hands boil down to 150,891 unique hands which is what my calculator analyzes.

For this game, I created an optimal strategy file containing these 150,891 unique hands and what cards should be held for that hand.

If anybody is interested, here is the link: apg-strategy.txt (3.77 MB) - you should right-click and Save As somewhere, then open it in your favorite text editor.

In the strategy file, the joker is indicated by a W with no suit.

Hi,
Just registered to try and tell my results. I was very pleased to see you'd give this strategy, however I can't find the sequence I'd like. For example how'd you find "Ad 6h 4s 8h 5s" in your text document ? If I ctrl+F and search for it, I can't find it, and neither can I with wordpad.
I don't live in the US nor am I an Us citizen so I'm curious to see if they are legit and will pay if there is indeed such a high percentage of return.

I got some feedback from a few people who had enough play time in, to convince me it's not random. I don't know them well enough to say if there information is accurate. Normally I would want to see it for myself or hear from someone I'm confident in. My thinking is the casino would've changed this by now if it was 100% legitimate.

Even if it's not random there a possibility you could still win, especially if they offer bonuses.

Would love to hear your results. A screen video of play would be cool if you're up for the task.

Good luck .

Quote: Wizard

Thanks! I should come up with a special term for this kind of game. I am heading to Germany soon and will look for it. Do you know what the rules specific anything about the royal flushes?

Here is a preview of another video poker game where the player pays for both the deal and draw. After your post, I may re-title it: Joker Poker (Wazdan Rules).

I don't know about the royal flush rule.. instructions were in German. We never did figure out that you had to hold one card.. but thought it was weird when we trashed a hand that a whole new one came up and there was no chance to draw on it.

German slots are very weird in that they meter $$ from a cash bank into a credit bank at a rate of 0.20 per minute after an initial large move. You can only gamble from the credit bank.. if that reaches 0, but you have $$ in your cash bank.. you have to wait for it to meter over to your credit bank.

Because of that crazy rule, we had many times where for the draw, we didn't have the same amount in the credit bank as the initial deal hand... and if you bet less on the draw, than the deal.... it only pays based on the draw wager.

Hope that makes sense.

geldspeicher = cash bank
Punktespecher = credit bank
Letzter Punke-Gewinn = last win (which is weird because it remains even when you start a new hand, like in the picture)
Einsatz = bet

See my post above for the definition of cash bank and credit bank. it's strange.

from our short time playing, I don't believe it's a random shuffle, but have nothing to back up that hunch.

Quote: Tosma

Quote: JB

With Joker Poker the 2,869,685 hands boil down to 150,891 unique hands which is what my calculator analyzes.

For this game, I created an optimal strategy file containing these 150,891 unique hands and what cards should be held for that hand.

If anybody is interested, here is the link: apg-strategy.txt (3.77 MB) - you should right-click and Save As somewhere, then open it in your favorite text editor.

In the strategy file, the joker is indicated by a W with no suit.

Hi,
Just registered to try and tell my results. I was very pleased to see you'd give this strategy, however I can't find the sequence I'd like. For example how'd you find "Ad 6h 4s 8h 5s" in your text document ? If I ctrl+F and search for it, I can't find it, and neither can I with wordpad.
I don't live in the US nor am I an Us citizen so I'm curious to see if they are legit and will pay if there is indeed such a high percentage of return.

JB is the best person to answer this, but I'll give it a try.

The hand you list is translated in the document. I'm not 100% sure which reassignment rules apply, but Ad 6h 4s 8h 5s would probably sort as "4c 5c 6d 8d Ah". The suits that you actually have are irrelevant; it's the distribution of suits to ranks that's important.

The suits are arranged in this order: if a hand contains a Flush, it will be listed in ranks lowest to highest in Clubs. (2 to A) (You can see that this hand - 2c 4c 6c 8c Tc for example - would be the same, whether it was actually dealt to you as clubs, diamonds, hearts, or spades, right? But he only has to list each rank combination once, as clubs, to put the hand into the queue.)

If there's a second suit, it will be Diamonds. All the Clubs will be listed low-to-high, then the Diamonds low-to-high.

If there's a third suit, it will be Hearts. Clubs first, then Diamonds, then Hearts, all in in rank order.

If all suits are in the hand, they will be listed as Clubs, Diamonds, Hearts, Spades.

If there is a Joker, the W is listed after all suits.

The lowest rank value of all cards is listed as Clubs, followed by any in that suit. The next lowest rank value of a different suit is listed as Diamonds, followed by any in that suit. Same pattern for Hearts and Spades, if there are a 3rd or 4th suit in the hand.

If the lowest rank value is a pair, the lowest rank and the most cards in that suit will be listed first as Clubs. Then the lowest rank value (paired) card with any other suited as Diamonds. And so on. Exception that I don't understand; with a 4-suited FH, where the 3OAK is a higher rank than the pair, the low and high are clubs, then the single high is diamond, the 3rd high is heart, and the low pairing card is spade. Which tells me I don't fully understand the sort rules. :)

Once you've translated your hand to this format, you find it in the first column. The second column tells you what to hold. You translate that back to the suits you actually have, then play that hand.

I tried my reassignment in quotes above, and it came up immediately and only once. So I think I understand the method, but I bet JB will explain further.

Doing this pattern reduction to unique holdings got rid of all the variations that were in different suit/rank values, but essentially the same hand.

Quote: Tosma

Hi,
Just registered to try and tell my results. I was very pleased to see you'd give this strategy, however I can't find the sequence I'd like. For example how'd you find "Ad 6h 4s 8h 5s" in your text document ? If I ctrl+F and search for it, I can't find it, and neither can I with wordpad.
I don't live in the US nor am I an Us citizen so I'm curious to see if they are legit and will pay if there is indeed such a high percentage of return.

That hand should appear with the following pattern: 4c 5c 6d 8d Ah

For this particular hand, the optimal strategy is to hold everything, i.e., do not pay for the draw. (In other words, start a new hand altogether.) This of course assumes that cards are dealt from the deck with equal probability (that the game is fair).

Quote: JB

That hand should appear with the following pattern: 4c 5c 6d 8d Ah

For this particular hand, the optimal strategy is to hold everything, i.e., do not pay for the draw. This of course assumes cards are dealt from the deck with equal probability (that the game is fair).

Wouldn't that mean hold nothing and pay to draw an entirely new hand? I may have the rules mixed up and my apologies if I do, but when I was playing if I didn't want to draw on a "high card" I just wouldn't hold anything and then pay to get a new 5 cards (from which I could hold cards if I so desired).

Quote: Romes

Wouldn't that mean hold nothing and pay to draw an entirely new hand?

Yes. Previous post edited for clarity.

Quote: Wizard

Thanks! I should come up with a special term for this kind of game.

Not that you asked for suggestions, but how about "Double Bet Video Poker"?

Quote: JB

That hand should appear with the following pattern: 4c 5c 6d 8d Ah

For this particular hand, the optimal strategy is to hold everything, i.e., do not pay for the draw. (In other words, start a new hand altogether.) This of course assumes that cards are dealt from the deck with equal probability (that the game is fair).

I'm confused. The original hand had 1 diamond, 2 hearts, and 2 spades. So how does that translate to 4 suits? I thought I had grasped your programming pattern, but I guess not.