Poll

2 votes (16.66%)
4 votes (33.33%)
2 votes (16.66%)
No votes (0%)
No votes (0%)
No votes (0%)
No votes (0%)
No votes (0%)
No votes (0%)
4 votes (33.33%)

12 members have voted

Wizard
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Wizard
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March 15th, 2016 at 8:34:25 PM permalink
Super Draw 6 Card Poker is a new video poker variant I noticed at VideoPoker.com. The idea is simple -- the player gets a sixth card on the draw. Of course, nothing is ever free. The player must double his bet for this extra card. There are some new six-card hands added to the pay table too.

Example:

Here I'm dealt three deuces.



I hold the three deuces. Of the three hands, one improves to a full house and the other to a four of a kind.



So far I have only done a scoring function. Here is how often each hand occurs in Double Double Bonus, if the game dealt six cards on the deal, which it doesn't. Where two wins are possible, I go with the one that pays more. When two pays are still possible, for example with suited 9TJQKA, it is arbitrary which one I count it as.

That said, here is my score array:

Hand Pays Count
Six-card royal flush 1600 4
Six-card straight flush 800 32
Royal flush 800 114
Four of a kind + pair 400 936
Four aces + 2-4 400 480
Four 2-4 + A-4 160 1,440
Four aces + 5-K 160 576
Four 2-4 + 5-K 80 1,728
Straight flush 50 930
Four 5-K + 5-K 50 9,504
Two three of a kind 40 1,248
Six-card flush 25 6,828
Six-card straight 12 36,828
Three pair 9 61,776
Full house 9 164,736
Five-card flush 6 199,080
Five-card straight 4 325,440
Three of a kind 3 732,160
Two pair 1 2,471,040
Jacks or better 1 3,000,756
Nothing 0 13,342,884
Total 20,358,520


The question for the poll is would you play Super Draw 6 Card Poker, given the same return as conventional video poker?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
beachbumbabs
beachbumbabs
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March 15th, 2016 at 8:48:01 PM permalink
I have and would play this game, though I like several others better (QQ's, HotRoll, SplitPoker to name 3).

I also don't get why anybody likes Rent. But I had to choose only 1 answer.
If the House lost every hand, they wouldn't deal the game.
Ibeatyouraces
Ibeatyouraces
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March 15th, 2016 at 9:07:05 PM permalink
Went to go try it, but seems that it's the only game in the free list that says you have to be gold.
DUHHIIIIIIIII HEARD THAT!
miplet
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March 16th, 2016 at 1:19:20 AM permalink
Something is wrong with your scoring array. Royal flush should be 4 suits * 46 cards that don't make a 6 card Royal.
Others are also off, but I can't check them until I get home.
“Man Babes” #AxelFabulous
Wizard
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March 16th, 2016 at 7:36:27 AM permalink
Quote: miplet

Something is wrong with your scoring array. Royal flush should be 4 suits * 46 cards that don't make a 6 card Royal.
Others are also off, but I can't check them until I get home.



Good catch. I'm working on fixing that.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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Wizard
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March 16th, 2016 at 10:44:03 AM permalink
Okay, here is my new and improved hand count array.

Hand Pays Count
Six-card royal flush 1600 4
Six-card straight flush 800 28
Royal flush 800 184
Four of a kind + pair 400 936
Four aces + 2-4 400 480
Four 2-4 + A-4 160 1,440
Four aces + 5-K 160 576
Four 2-4 + 5-K 80 1,728
Straight flush 50 1,444
Four 5-K + 5-K 50 9,504
Two three of a kind 40 1,248
Six-card flush 25 6,608
Six-card straight 12 36,624
Three pair 9 61,776
Full house 9 164,736
Five-card flush 6 198,924
Five-card straight 4 325,440
Three of a kind 3 732,160
Two pair 1 2,471,040
Jacks or better 1 3,000,756
Nothing 0 13,342,884
Total 20,358,520


I previously had some problems scoring hands that could be both straights and flushes, but not necessarily the same cards in each of them.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
miplet
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March 16th, 2016 at 11:27:10 AM permalink
Here is what I have so far:
HandWays
Six-card royal flush4
Six-card straight flush32
Royal flush184
Four of a kind + pair936
Four aces + 2-4480
Four 2-4 + A-41440
Four aces + 5-K576
Four 2-4 + 5-K1728
Straight flush1624
Four 5-K 9504
Two three of a kind1248
Six-card flush
Six-card straight
Three pair61776
Full house164736
Five-card flush
Five-card straight
Three of a kind732160
Two pair
Jacks or better
Nothing

we disagree on 2 of them:
Six-card straight flush: 4 suits * 8 6-card straights (A-6 through 8-K) = 32
Straight flush: 4 suits * 8 5-card straights (2-6 throuh 9-k) * 45 cards that don't make a 6-card straight flush. +
4 suits * 1 (A-5 straight) * 46 cards that don't make a 6-card straight flush
4*8*45+4*1*46=1624
“Man Babes” #AxelFabulous
Wizard
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Wizard
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March 16th, 2016 at 12:21:32 PM permalink
Here is version 3:

Hand Pays Count
Six-card royal flush 1600 4
Six-card straight flush 800 32
Five-card Royal flush 800 184
Four of a kind + pair 400 936
Four aces + 2-4 400 480
Four 2-4 + A-4 160 1,440
Four aces + 5-K 160 576
Four 2-4 + 5-K 80 1,728
Five-card straight flush 50 1,624
Four 5-K + 5-K 50 9,504
Two three of a kind 40 1,248
Six-card flush 25 6,580
Six-card straight 12 36,612
Three pair 9 61,776
Full house 9 164,736
Five-card flush 6 198,780
Five-card straight 4 325,440
Three of a kind 3 732,160
Two pair 1 2,471,040
Jacks or better 1 3,000,756
Nothing 0 13,342,884
Total 20,358,520


Looks like we agree on what you have so far.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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March 16th, 2016 at 3:59:41 PM permalink
I have my program up and running for this game. It takes 12.3 hours to work through a pay table so I won't know until tomorrow morning how it's working.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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Wizard
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March 17th, 2016 at 4:53:44 PM permalink
I think my program is working properly. Here are the results for 9-6 Double Double Bonus, which is available at VideoPoker.com. The return column is the product of the win, probability, and 0.5 (because the player must double his bet to pay for the feature). So, 99.32% return.

Hand Pays Combinations Probability Return
Six-card royal flush 1600 376,189,752 0.000003 0.002157
Six-card straight flush 800 2,286,403,812 0.000016 0.006554
Four of a kind + pair 400 53,862,873,696 0.000386 0.077205
Two three of a kind 40 65,862,044,532 0.000472 0.009440
Six-card flush 25 438,221,653,116 0.003141 0.039258
Six-card straight 12 566,514,956,100 0.004060 0.024361
Three pair 9 1,081,046,587,176 0.007748 0.034864
Five-card Royal flush 800 10,081,123,716 0.000072 0.028900
Five-card straight flush 50 60,590,252,904 0.000434 0.010856
Four aces + 2-4 400 21,304,708,188 0.000153 0.030537
Four 2-4 + A-4 160 55,526,542,512 0.000398 0.031836
Four aces + 5-K 160 24,144,767,196 0.000173 0.013843
Four 2-4 + 5-K 80 63,303,595,992 0.000454 0.018147
Four 5-K + 5-K 50 354,234,143,508 0.002539 0.063468
Full house 9 4,159,440,047,808 0.029810 0.134144
Five-card flush 6 5,523,829,609,812 0.039588 0.118764
Five-card straight 4 3,764,795,765,184 0.026981 0.053963
Three of a kind 3 11,278,297,316,688 0.080829 0.121244
Two pair 1 27,093,903,864,696 0.194176 0.097088
Jacks or better 1 21,377,316,797,196 0.153207 0.076603
Nothing 0 63,537,674,376,816 0.455361 0.000000
Total 139,532,613,620,400 1.000000 0.993233


VideoPoker.com link
Last edited by: Wizard on Mar 17, 2016
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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March 18th, 2016 at 10:37:16 AM permalink
Here is my score frequency for Bonus Deuces. I welcome all confirmations and/or corrections. When two or more wins are possible, I go with the one that pays the most.

Hand Count Pays
Six-card royal flush 4 1,600
Four deuces + pair 72 800
Six of a kind 264 200
Six-card wild royal flush 760 50
Six-card straight flush 2,816 20
Six-card flush 17,100 9
Six-card straight 392,748 5
Five-card natural royal 184 800
Four deuces + ace 176 400
Four deuces 880 200
Five-card wild royal flush 19,968 25
Five aces 2,288 80
Five 3-5 6,864 40
Five 6-K 17,536 20
Five-card straight flush 79,640 13
Four of a kind 599,472 4
Full house 507,936 3
Five-card flush 472,776 3
Five-card straight 1,031,856 1
Three of a kind 3,697,440 1
Nothing 13,507,740 -
Total 20,358,520
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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March 24th, 2016 at 7:01:28 AM permalink
I'm proud to say that my new page on Super Draw 6 Poker is ready for preview. I'm still working on adding more return tables to it. I'm cranking through a couple more as I write this (each takes up to 15 hours to loop through).

Please click on the link and have a look. As always, I welcome all questions, comments, and especially corrections.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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Wizard
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March 24th, 2016 at 10:34:52 AM permalink
Just added a return table for 9-7 Triple Double Bonus.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
knagl
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September 10th, 2016 at 2:36:17 AM permalink
I'm playing this game for the first time. If I'm dealt a quad where the kicker card doesn't matter (for example, 8,8,8,7), am I better off holding that fifth card so now I only need to match that card on the 6-card draw (ie. draw another 7) for the quad+pair payout, or should I toss the fifth card and hope to draw a pair, or does it not make a difference at all?
calwatch
calwatch
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March 13th, 2023 at 11:48:24 PM permalink
To answer this question, it is actually mathematically equivalent to throw away the fifth card, or hold it. Essentially, for draw purposes, it is irrelevant when the fifth card comes in the cycle, either on the deal or the draw. The only thing you can make is a pair, so the sequence of operations doesn't matter.
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