Super Draw 6 Poker

Introduction

Super Draw 6 Poker is yet another video poker variant by IGT. The humdinger to this one is the player always gets an extra card on the draw. In addition to the standard six-card pays in the pay table, there are some others. The catch? The player must pay a price equal to his original bet to invoke the six-card feature.

Rules

1. The game is based on conventional 3-, 5-, and 10-play video poker.
2. If the player makes a max coin bet in the base game, then he may double his bet to get a sixth card on the draw of every hand. This additional wager is a fee to invoke the feature and never returned.
3. If the feature is invoked, in addition to the usual pays for each winning hand, some additional six-card hands will be added to the pay table.
4. The player will be dealt five cards on the deal.
5. The player will always get one more card on the draw than he discarded.
6. Each hand will be paid according to the highest possible win only.

Example

In the image below you can see I was dealt three deuces on the deal.

On the draw the top hand improved to a full house, which paid 45 coins. On the middle hand I improved to four deuces, thanks to the 6th card, which paid 400 coins. The bottom hand remained a three of a kind, for 15 coins. My total win was 45+400+15=460 coins.

Images used with permission from Video Poker.com. A Gold level membership is required to play Super Draw 6.

Return Tables

The following tables show my analysis of various return tables. The return column is the product of the win, probability, and 0.5. The reason for dividing by 2 is the player must bet two units and the return shown is based on the total amount bet.

Following is the return table for 9-6 Double Double Bonus. The lower right cell shows a return of 99.32%. The standard deviation of this game is 6.710179.

9-6 Double Double Bonus

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 0 139,532,613,620,400 1.000000 0.993233

Following is the return table for 8-5 Bonus Poker. The lower right cell shows a return of 99.49%. The standard deviation of this game is 5.849053.

8-5 Bonus Poker

Hand Pays Combinations Probability Return
Six-card royal flush 1600 361,764,816 0.000003 0.002074
Six-card straight flush 800 2,212,001,568 0.000016 0.006341
Four of a kind + pair 400 53,901,173,592 0.000386 0.077260
Two three of a kind 40 66,243,148,524 0.000475 0.009495
Six-card flush 32 419,667,032,064 0.003008 0.048123
Six-card straight 20 741,812,968,092 0.005316 0.053164
Three pair 10 1,070,058,163,356 0.007669 0.038344
Five-card Royal flush 800 9,725,387,364 0.000070 0.027880
Five-card straight flush 50 59,504,785,452 0.000426 0.010661
Four aces 80 41,503,480,032 0.000297 0.011898
Four 2-4 40 116,926,986,540 0.000838 0.016760
Four 5-K 25 355,163,087,580 0.002545 0.031817
Full house 8 4,137,050,069,208 0.029649 0.118597
Five-card flush 5 5,248,346,746,020 0.037614 0.094034
Five-card straight 4 4,360,737,675,420 0.031252 0.062505
Three of a kind 3 11,131,737,833,664 0.079779 0.119668
Two pair 2 26,771,564,913,408 0.191866 0.191866
Jacks or better 1 20,778,001,277,124 0.148911 0.074456
Nothing 0 64,168,095,126,576 0.459879 0.000000
Total   139,532,613,620,400 1.000000 0.994944

Following is the return table for 9-6 Bonus Poker Deluxe. The lower right cell shows a return of 99.84%. The standard deviation of this game is 6.221718.

9-6 Bonus Poker Deluxe

Hand Pays Combinations Probability Return
Six-card royal flush 1600 363,464,892 0.000003 0.002084
Six-card straight flush 800 2,314,085,340 0.000017 0.006634
Four of a kind + pair 400 53,978,932,224 0.000387 0.077371
Two three of a kind 40 66,281,340,132 0.000475 0.009500
Six-card flush 30 447,833,689,296 0.003210 0.048143
Six-card straight 14 616,165,611,516 0.004416 0.030911
Three pair 9 1,076,187,972,384 0.007713 0.034708
Five-card Royal flush 800 9,673,643,784 0.000069 0.027732
Five-card straight flush 50 61,440,254,064 0.000440 0.011008
Four of a kind 80 515,877,122,460 0.003697 0.147887
Full house 9 4,154,602,444,272 0.029775 0.133988
Five-card flush 6 5,626,802,311,620 0.040326 0.120978
Five-card straight 4 3,884,500,391,520 0.027839 0.055679
Three of a kind 3 11,214,855,622,320 0.080374 0.120562
Two pair 1 26,971,153,319,880 0.193296 0.096648
Jacks or better 1 20,810,193,233,676 0.149142 0.074571
Nothing 0 64,020,390,181,020 0.458820 0.000000
Total   139,532,613,620,400 1.000000 0.998404

Following is the return table for 40-10-6-5 Bonus Poker Deluxe. The pay of 40 refers to the win for two three of a kinds. This should not be confused with the 10-6-5 double bonus game on VideoPoker.com, which has the same pay table, except pays 50 for two three of a kinds. I tend to think that this was an error by VideoPoker.com. The return for that game, by the way, is 0.993703. Getting back to the 40-10-6-5 pay table, the lower right cell shows a return of 99.13%. The standard deviation of this game is 5.559914.

40-10-6-5 Double Bonus

Hand Pays Combinations Probability Return
Six-card royal flush 1600 358,152,816 0.000003 0.002053
Six-card straight flush 800 2,259,921,804 0.000016 0.006479
Four of a kind + pair 300 53,586,549,072 0.000384 0.057606
Two three of a kind 40 65,806,092,324 0.000472 0.009432
Six-card flush 30 429,221,470,608 0.003076 0.046142
Six-card straight 16 720,876,510,480 0.005166 0.041331
Three pair 10 1,061,649,033,984 0.007609 0.038043
Five-card Royal flush 800 9,550,421,916 0.000068 0.027378
Five-card straight flush 50 61,011,317,724 0.000437 0.010931
Four aces 160 42,152,293,512 0.000302 0.024168
Four 2-4 80 116,590,855,248 0.000836 0.033423
Four 5-K 50 352,138,784,340 0.002524 0.063093
Full house 10 4,108,409,418,960 0.029444 0.147220
Five-card flush 6 5,369,423,871,000 0.038481 0.115444
Five-card straight 5 4,480,460,053,356 0.032110 0.080276
Three of a kind 3 11,075,296,221,360 0.079374 0.119061
Two pair 1 26,639,853,173,640 0.190922 0.095461
Jacks or better 1 20,595,155,400,288 0.147601 0.073801
Nothing 0 64,348,814,077,968 0.461174 0.000000
Total   139,532,613,620,400 1.000000 0.991344

Following is the return table for 9-6 Jacks or Better. The lower right cell shows a return of 99.80%. The standard deviation of this game is 5.796115.

9-6 Jacks or Better

Hand Pays Combinations Probability Return
Six-card royal flush 1600 367,940,160 0.000003 0.002110
Six-card straight flush 800 2,347,407,384 0.000017 0.006729
Four of a kind + pair 400 53,937,061,920 0.000387 0.077311
Two three of a kind 40 66,319,363,656 0.000475 0.009506
Six-card flush 29 447,804,404,460 0.003209 0.046535
Six-card straight 15 620,014,147,284 0.004444 0.033326
Three pair 10 1,076,447,873,844 0.007715 0.038573
Five-card Royal flush 800 9,676,662,744 0.000069 0.027740
Five-card straight flush 50 62,681,912,916 0.000449 0.011231
Four of a kind 25 514,254,698,748 0.003686 0.046069
Full house 9 4,151,408,576,616 0.029752 0.133885
Five-card flush 6 5,639,154,612,924 0.040415 0.121244
Five-card straight 4 3,911,175,355,752 0.028031 0.056061
Three of a kind 3 11,180,974,527,744 0.080132 0.120197
Two pair 2 26,953,461,361,008 0.193170 0.193170
Jacks or better 1 20,740,048,837,872 0.148639 0.074320
Nothing 0 64,102,538,875,368 0.459409 0.000000
Total   139,532,613,620,400 1.000000 0.998008

Following is the return table for 9-7 Triple Double Bonus. The lower right cell shows a return of 99.80%. The standard deviation of this game is 8.665713.

9-7 Triple Double Bonus

Hand Pays Combinations Probability Return
Six-card royal flush 1600 377,012,832 0.000003 0.002162
Six-card straight flush 800 2,462,606,580 0.000018 0.007060
Four of a kind + pair 250 46,070,078,292 0.000330 0.041272
Two three of a kind 25 60,569,254,368 0.000434 0.005426
Six-card flush 14 453,006,820,224 0.003247 0.022726
Six-card straight 9 486,052,260,708 0.003483 0.015675
Three pair 6 1,032,142,734,252 0.007397 0.022191
Five-card Royal flush 800 9,795,548,616 0.000070 0.028081
Five-card straight flush 50 64,423,444,344 0.000462 0.011543
Four aces + 2-4 800 27,005,783,112 0.000194 0.077418
Four 2-4 + A-4 400 65,820,443,136 0.000472 0.094344
Four aces + 5-K 160 24,495,938,796 0.000176 0.014045
Four 2-4 + 5-K 80 54,674,795,532 0.000392 0.015674
Four 5-K + 5-K 50 347,270,822,808 0.002489 0.062220
Full house 9 3,991,062,447,288 0.028603 0.128714
Five-card flush 7 5,755,270,363,248 0.041247 0.144364
Five-card straight 4 3,423,702,814,980 0.024537 0.049074
Three of a kind 2 11,400,902,591,568 0.081708 0.081708
Two pair 1 26,595,508,619,736 0.190604 0.095302
Jacks or better 1 22,041,759,855,528 0.157969 0.078984
Nothing 0 63,650,239,384,452 0.456167 0.000000
Total   139,532,613,620,400 1.000000 0.997982

Return Summary

The following tables show all games and pay tables available for Super Draw 6. The column headings reflect the return. Pay tables are expressed as per coin bet, based on a max-coin bet.

Bonus Poker

Hand 99.49% 98.17% 97.13% 96.99%
ROYAL FLUSH 6 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800
FOUR OF A KIND WITH PAIR 400 400 400 400
TWO THREE OF A KIND 40 40 46 40
FLUSH 6 32 33 35 35
STRAIGHT 6 20 20 20 20
THREE PAIR 10 10 10 10
ROYAL FLUSH 800 800 800 800
STRAIGHT FLUSH 50 50 50 50
FOUR ACES 80 80 80 80
FOUR 2's, 3's, 4's 40 40 40 40
FOUR 5's THROUGH K's 25 25 25 25
FULL HOUSE 8 7 6 6
FLUSH 5 5 5 5
STRAIGHT 4 4 4 4
THREE OF A KIND 3 3 3 3
TWO PAIR 2 2 2 2
JACKS OR BETTER 1 1 1 1

Bonus Poker Deluxe

Hand 99.84% 98.81% 97.51% 96.55% 95.73%
ROYAL FLUSH 6 1600 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800 800
FOUR OF A KIND WITH PAIR 400 400 400 400 400
TWO THREE OF A KIND 40 40 40 40 40
FLUSH 6 30 30 30 30 30
STRAIGHT 6 14 16 17 19 20
THREE PAIR 9 9 10 10 11
ROYAL FLUSH 800 800 800 800 800
STRAIGHT FLUSH 50 50 50 50 50
FOUR OF A KIND 80 80 80 80 80
FULL HOUSE 9 8 8 7 6
FLUSH 6 6 5 5 5
STRAIGHT 4 4 4 4 4
THREE OF A KIND 3 3 3 3 3
TWO PAIR 1 1 1 1 1
JACKS OR BETTER 1 1 1 1 1

Deuces Wild

Hand 99.23% 98.15% 96.97% 95.42%
ROYAL FLUSH 6 NO DEUCES 1600 1600 1600 1600
FOUR DEUCES WITH PAIR 800 800 800 800
SIX OF A KIND 200 200 200 200
ROYAL FLUSH WITH DEUCE 6 80 80 80 80
STRAIGHT FLUSH 6 50 30 24 30
FLUSH 6 15 13 12 14
STRAIGHT 6 7 6 6 6
ROYAL FLUSH NO DEUCES 800 800 800 800
FOUR DEUCES 200 200 200 200
ROYAL FLUSH WITH DEUCE 20 20 25 25
FIVE OF A KIND 12 12 16 15
STRAIGHT FLUSH 9 10 13 10
FOUR OF A KIND 5 4 4 4
FULL HOUSE 3 4 3 3
FLUSH 2 3 2 2
STRAIGHT 2 2 2 2
THREE OF A KIND 1 1 1 1

Deuces Wild Bonus Poker

Hand 99.49% 98.33% 97.61% 96.39% 95.58%
ROYAL FLUSH 6 NO DEUCES 1600 1600 1600 1600 1600
FOUR DEUCES WITH PAIR 800 800 800 800 800
SIX OF A KIND 200 200 200 200 200
ROYAL FLUSH WITH DEUCE 6 50 50 50 50 50
STRAIGHT FLUSH 6 20 20 20 20 20
FLUSH 6 9 12 10 10 12
STRAIGHT 6 5 5 5 5 5
ROYAL FLUSH NO DEUCES 800 800 800 800 800
FOUR DEUCES + ONE ACE 400 400 400 400 400
FOUR DEUCES 200 200 200 200 200
ROYAL FLUSH WITH DEUCE 25 25 25 25 25
FIVE ACES 80 80 80 80 80
FIVE 3's, 4's, 5's 40 40 40 40 40
FIVE 6's THROUGH K's 20 20 20 20 20
STRAIGHT FLUSH 13 10 10 12 10
FOUR OF A KIND 4 4 4 4 4
FULL HOUSE 3 3 3 3 3
FLUSH 3 3 3 2 2
STRAIGHT 1 1 1 1 1
THREE OF A KIND 1 1 1 1 1

Double Bonus

Hand 99.13% 98.21% 97.85% 96.68% 95.46%
ROYAL FLUSH 6 1600 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800 800
FOUR OF A KIND WITH PAIR 300 300 300 300 300
TWO THREE OF A KIND 40 50 48 50 50
FLUSH 6 30 32 30 32 30
STRAIGHT 6 16 16 16 16 20
THREE PAIR 10 10 10 10 10
ROYAL FLUSH 800 800 800 800 800
STRAIGHT FLUSH 50 50 50 50 50
FOUR ACES 160 160 160 160 160
FOUR 2's, 3's, 4's 80 80 80 80 80
FOUR 5's THROUGH K's 50 50 50 50 50
FULL HOUSE 10 9 9 9 9
FLUSH 6 6 6 6 5
STRAIGHT 5 5 5 4 4
THREE OF A KIND 3 3 3 3 3
TWO PAIR 1 1 1 1 1
JACKS OR BETTER 1 1 1 1 1

There is a Double Bonus game at VideoPoker.com, which follows the same liberal 10-6-5 pay table above, except pays 50 for two three of a kinds, instead of 40. The return under that pay table is 99.3703%. I mention that here because it is evidently not an official IGT pay table and was probably an error in setting up the game at VideoPoker.com.

Double Double Bonus

Hand 99.32% 98.46% 97.99% 96.97% 95.87%
ROYAL FLUSH 6 1600 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800 800
FOUR OF A KIND WITH PAIR 400 400 400 400 400
TWO THREE OF A KIND 40 40 40 40 40
FLUSH 6 25 25 25 25 25
STRAIGHT 6 12 15 13 15 15
THREE PAIR 9 10 10 10 11
ROYAL FLUSH 800 800 800 800 800
STRAIGHT FLUSH 50 50 50 50 50
FOUR A's + ANY 2, 3 OR 4 400 400 400 400 400
FOUR 2's,3's,4's + ANY A,2,3,4 160 160 160 160 160
FOUR ACES 160 160 160 160 160
FOUR 2's, 3's, 4's 80 80 80 80 80
FOUR 5's THROUGH K's 50 50 50 50 50
FULL HOUSE 9 9 9 8 7
FLUSH 6 5 5 5 5
STRAIGHT 4 4 4 4 4
THREE OF A KIND 3 3 3 3 3
TWO PAIR 1 1 1 1 1
JACKS OR BETTER 1 1 1 1 1

Jacks or Better

Hand 99.8% 98.68% 97.59% 96.27% 95.17%
ROYAL FLUSH 6 1600 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800 800
FOUR OF A KIND WITH PAIR 400 400 400 400 400
TWO THREE OF A KIND 40 40 40 40 40
FLUSH 6 29 33 34 35 35
STRAIGHT 6 15 16 17 17 17
THREE PAIR 10 10 10 10 11
ROYAL FLUSH 800 800 800 800 800
STRAIGHT FLUSH 50 50 50 50 50
FOUR OF A KIND 25 25 25 25 25
FULL HOUSE 9 9 8 7 6
FLUSH 6 5 5 5 5
STRAIGHT 4 4 4 4 4
THREE OF A KIND 3 3 3 3 3
TWO PAIR 2 2 2 2 2
JACKS OR BETTER 1 1 1 1 1

Triple Double Bonus

Hand 99.8% 98.55% 97.13% 96.28% 95.24%
ROYAL FLUSH 6 1600 1600 1600 1600 1600
STRAIGHT FLUSH 6 800 800 800 800 800
FOUR OF A KIND WITH PAIR 250 280 300 300 300
TWO THREE OF A KIND 25 30 30 30 30
FLUSH 6 14 15 16 20 20
STRAIGHT 6 9 9 9 9 11
THREE PAIR 6 6 6 6 6
ROYAL FLUSH 800 800 800 800 800
STRAIGHT FLUSH 50 50 50 50 50
FOUR A's + ANY 2, 3 OR 4 800 800 800 800 800
FOUR 2's,3's,4's + ANY A,2,3,4 400 400 400 400 400
FOUR ACES 160 160 160 160 160
FOUR 2's, 3's, 4's 80 80 80 80 80
FOUR 5's THROUGH K's 50 50 50 50 50
FULL HOUSE 9 9 9 8 7
FLUSH 7 6 5 5 5
STRAIGHT 4 4 4 4 4
THREE OF A KIND 2 2 2 2 2
TWO PAIR 1 1 1 1 1
JACKS OR BETTER 1 1 1 1 1

Methodology

I used a brute force looping program to analyze Super Draw 6. To cycle through all 27,906,522,724,080 possible combinations of cards on the deal and draw for any one pay table takes my program about 15 hours.

Acknowledgments

I would like to thank:

• IGT for providing me a table listing the base games Extra Draw is available in and returns. I analyzed some of them and am happy to say we agree on the returns.
• VideoPoker.com for permission to use screenshots from their game.

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