Double Bonus Video Poker

Last update: Dec. 4, 2008

Double Bonus paytables

You might also enjoy my free Double Bonus java game.

Double Bonus

Hand Pays Combinations Probability Return

Royal flush 800 414860472 0.000021 0.016650

Straight flush 50 2254539360 0.000113 0.005655

4 aces 160 3962537892 0.000199 0.031806

4 2-4 80 10446264684 0.000524 0.041925

4 5-K 50 32045992176 0.001608 0.080383

Full house 10 223050658608 0.011190 0.111899

Flush 7 298068519408 0.014953 0.104673

Straight 5 299385345432 0.015019 0.075097

3 of a kind 3 1439168246364 0.072199 0.216598

Two pair 1 2484844034580 0.124658 0.124658

Jacks or better 1 3834735881328 0.192379 0.192379

Nothing 0 11304853636896 0.567136 0.000000

Total 19933230517200 1.000000 1.001725

The next pay table is a short pay version of true 10/7 double bonus. It pays 239, instead of 250, for a straight flush or four 5-K, with five coins bet. The reason for 239 is to keep the win under $1200, thus avoiding a W2-G form, for a $5 bet ($5 × 239 = $1195).

Double Bonus — 10-7-239

Hand Pays Combinations Probability Return

Royal flush 800 414897108 0.000021 0.003330

Straight flush 47.8 2251030044 0.000113 0.001080

4 aces 160 3962735004 0.000199 0.006362

4 2-4 80 10446293580 0.000524 0.008385

4 5-K 47.8 32046819840 0.001608 0.015370

Full house 10 223056612216 0.011190 0.022380

Flush 7 297927254088 0.014946 0.020925

Straight 5 299358052128 0.015018 0.015018

3 of a kind 3 1439222046588 0.072202 0.043321

Two pair 1 2484935892900 0.124663 0.024933

Jacks or better 1 3835616182488 0.192423 0.038485

Nothing 0 11303992701216 0.567093 0.000000

Total 19933230517200 1.000000 0.997940

Double Bonus - Microgaming "Aces" Pay Table

Hand Pays Combinations Probability Return

Royal flush 800 509641656 0.000026 0.020454

Straight flush 60 2060183136 0.000103 0.006201

4 aces 400 4733652936 0.000237 0.094990

4 2-4 100 10801068864 0.000542 0.054186

4 5-K 50 32507032500 0.001631 0.081540

Full house 7 210553126956 0.010563 0.073940

Flush 5 216788152068 0.010876 0.054379

Straight 4 252520338408 0.012668 0.050673

3 of a kind 3 1509206036580 0.075713 0.227139

Two pair 1 2458035568692 0.123313 0.123313

Jacks or better 1 4233392465364 0.212379 0.212379

Nothing 0 11002123250040 0.551949 0.000000

Total 19933230517200 1.000000 0.999195

Double Bonus

Hand Pays Combinations Probability Return

Royal flush 800 414973476 0.000021 0.016655

Straight flush 50 2255533176 0.000113 0.005658

4 aces 160 4364665980 0.000219 0.035034

4 2-4 80 10446064476 0.000524 0.041924

4 5-K 50 31969127784 0.001604 0.080191

Full house 9 211872080016 0.010629 0.095662

Flush 7 303428337828 0.015222 0.106556

Straight 5 299409572148 0.015021 0.075103

3 of a kind 3 1452555860172 0.072871 0.218613

Two pair 1 2370561008868 0.118925 0.118925

Jacks or better 1 3921754413384 0.196745 0.196745

Nothing 0 11324198879892 0.568107 0.000000

Total 19933230517200 1.000000 0.991065

The next table pay table is seen at some Real Time Gaming casinos. The 40 for four 5-K is not a typo.

Double Bonus

Hand Pays Combinations Probability Return

Royal flush 800 421997268 0.000021 0.016936

Straight flush 50 2263275240 0.000114 0.005677

4 aces 160 3962528604 0.000199 0.031806

4 2-4 80 10446248172 0.000524 0.041925

4 5-K 40 31946931528 0.001603 0.064108

Full house 10 222686377056 0.011172 0.111716

Flush 7 303764689332 0.015239 0.106674

Straight 5 299609247636 0.015031 0.075153

3 of a kind 3 1435131177948 0.071997 0.215991

Two pair 1 2479272534900 0.124379 0.124379

Jacks or better 1 3813441001992 0.191311 0.191311

Nothing 0 11330284507524 0.568412 0.000000

Total 19933230517200 1.000000 0.985676

"9/6/5" Double Bonus Poker
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	487789056	0.000024	0.019577
Straight flush	50	2165349096	0.000109	0.005432
4 aces	160	4466814888	0.000224	0.035854
4 2-4	80	10457017608	0.000525	0.041968
4 5-K	50	32300428680	0.001620	0.081022
Full house	9	214539309000	0.010763	0.096866
Flush	6	221014834488	0.011088	0.066527
Straight	5	309160021656	0.015510	0.077549
3 of a kind	3	1476556719144	0.074075	0.222225
Two pair	1	2413232992008	0.121066	0.121066
Jacks or better	1	4185522624204	0.209977	0.209977
Nothing	0	11063326617372	0.555019	0.000000
Total		19933230517200	1.000000	0.978062

"9/7/4" Double Bonus Poker

Hand Payoff Combinations Probability Return

Royal flush 800 413867688 0.000021 0.016610

Straight flush 50 2232034020 0.000112 0.005599

4 aces 160 4441388988 0.000223 0.035650

4 2-4 80 10498090176 0.000527 0.042133

4 5-K 50 32135330352 0.001612 0.080607

Full house 9 213057341820 0.010689 0.096197

Flush 7 320272860612 0.016067 0.112471

Straight 4 241728444036 0.012127 0.048508

3 of a kind 3 1469056216632 0.073699 0.221097

Two pair 1 2400595294032 0.120432 0.120432

Jacks or better 1 3948977638908 0.198110 0.198110

Nothing 0 11289822009936 0.566382 0.000000

Total 19933230517200 1.000000 0.977414

"9/6/4" Double Bonus Poker

Hand Payoff Combinations Probability Return

Royal flush 800 486092448 0.000024 0.019509

Straight flush 50 2186338944 0.000110 0.005484

4 aces 160 4523921640 0.000227 0.036313

4 2-4 80 10507554132 0.000527 0.042171

4 5-K 50 32529696768 0.001632 0.081597

Full house 9 216061189596 0.010839 0.097553

Flush 6 225141936648 0.011295 0.067769

Straight 4 256664314800 0.012876 0.051505

3 of a kind 3 1495629031164 0.075032 0.225096

Two pair 1 2448213778044 0.122821 0.122821

Jacks or better 1 4264457956920 0.213937 0.213937

Nothing 0 10976828706096 0.550680 0.000000

Total 19933230517200 1.000000 0.963754

"8/6" Double Bonus - 96.23%

Hand Pays Combinations Probability Return

Royal flush 800 521102016 0.000026 0.020914

Straight flush 50 2195366364 0.000110 0.005507

4 aces 160 4464360276 0.000224 0.035835

4 2-4 80 10457827212 0.000525 0.041971

4 5-K 50 32357589096 0.001623 0.081165

Full house 8 214992879192 0.010786 0.086285

Flush 6 219641277060 0.011019 0.066113

Straight 5 274179772260 0.013755 0.068775

3 of a kind 3 1484356564308 0.074466 0.223399

Two pair 1 2432968510572 0.122056 0.122056

Jacks or better 1 4191122480148 0.210258 0.210258

Nothing 0 11065972788696 0.555152 0.000000

Total 0 1.000000 0.962278

"9/5/4" Double Bonus Poker

Hand Payoff Number Probability Return

Royal flush 800 493786008 0.000025 0.019818

Straight flush 50 2147840184 0.000108 0.005388

4 aces 160 4497593772 0.000226 0.036101

4 2-4 80 10506428736 0.000527 0.042166

4 5-K 50 32573173380 0.001634 0.081706

Full house 9 216135925488 0.010843 0.097587

Flush 5 217725259668 0.010923 0.054614

Straight 4 260547004272 0.013071 0.052284

3 of a kind 3 1496165498304 0.075059 0.225177

Two pair 1 2448765638496 0.122848 0.122848

Jacks or better 1 4286640939336 0.215050 0.215050

Nothing 0 10957031429556 0.549687 0.000000

Total 19933230517200 1.000000 0.952738

"8/5/4" Double Bonus Poker

Hand Payoff Number Probability Return

Royal flush 800 492841212 0.000025 0.019780

Straight flush 50 2151623496 0.000108 0.005397

4 aces 160 4465762764 0.000224 0.035846

4 2-4 80 10504984968 0.000527 0.042161

4 5-K 50 32577286932 0.001634 0.081716

Full house 8 216046602792 0.010839 0.086708

Flush 5 217352572992 0.010904 0.054520

Straight 4 260951101932 0.013091 0.052365

3 of a kind 3 1495170719448 0.075009 0.225027

Two pair 1 2447705942712 0.122795 0.122795

Jacks or better 1 4297254070680 0.215582 0.215582

Nothing 0 10948557007272 0.549262 0.000000

Total 19933230517200 1.000000 0.941897

"7/5/4" Double Bonus Poker

Hand Payoff Number Probability Return

Royal flush 800 498195744 0.000025 0.019995

Straight flush 50 2160043068 0.000108 0.005418

4 aces 160 4465354092 0.000224 0.035842

4 2-4 80 10504958136 0.000527 0.042161

4 5-K 50 32561148000 0.001634 0.081676

Full house 7 215984925828 0.010835 0.075848

Flush 5 217644536628 0.010919 0.054593

Straight 4 261147719604 0.013101 0.052404

3 of a kind 3 1494520991340 0.074976 0.224929

Two pair 1 2446850671164 0.122752 0.122752

Jacks or better 1 4294436393340 0.215441 0.215441

Nothing 0 10952455580256 0.549457 0.000000

Total 19933230517200 1.000000 0.931060

Methodology of Expected Return Tables

I have personally developed the above tables for jacks or better, bonus poker, double bonus, double double bonus, triple bonus, and triple double bonus and Double Bonus. In general the wide tables that show the exact Combinations of combinations were done by me. The determination of said tables was done by testing all 32 ways to play any given hand. For each possible play I looped through every possible set of cards on the second deal and averaging the payoffs. Finally the decision that yielded the greatest overall expected return was defined as the best way to play that hand. The determination of the overall expected return was done by systematically analyzing all 2,598,960 possible five card poker hands, testing all 32 ways to play each one, adding the average results of the best way to play each hand, and finally dividing by the total Combinations of hands to yield the average results.

All other forms of video poker were analyzed with the help of WinPoker 5. This software allows the user to specify the payoff table to most forms of video poker and it evidently uses the same methodology as mine to determine the tables above. You can also play video poker with this software and it will tell you if and when you make a mistake and show you the reason why. To develop your own strategy you can enter any hand you like and the program will give you the expected return of all 32 ways to play it on one screen. The cost of this software is $30 and the web page has a stripped down version for free. For anyone serious about playing video poker properly I give WinPoker an A.

My Video Poker Offerings

Basic Video Poker Info

My Main Video Poker page
Return tables:
Probability of Ruin for single-play video poker
Random simulations for multi-play video poker.
The standard deviation of n-play video poker.

Video Poker Variations

All about Double Pay Poker.
All about Chase the Royal.
All about Pick 'em Poker.

Practice / Play Video Poker for Free

Analyzer

Analyze the return for almost any video poker pay table.

My Strategies

Jacks or Better:

Simple Strategy (return of 99.46%)
Intermediate strategy (return of 99.52%)
Optimal Strategy (return of 99.54%)

Full Pay Deuces Wild:

Simple Strategy (return of 100.71%)
Optimal Strategy (return of 100.77%)
When to play two to a royal, king high, with no penalty cards
When to play two suited high cards, ace high, with a deuce
When to play two to a royal, king high, with a straight penalty card

Other Strategies:

Other Stuff

Jacks or better quiz.
Probability distribution for each hand by number of cards held in full pay Deuces Wild.
Programming video poker tips.
San Diego County video poker survey.

The Wizard's other sites: Wizard of Macau, Sweat the Money, Math Problems