Share this

Wizard Recommends

Last Updated: March 1, 2017

On This Page

Dream Card

Introduction

Dream Card is a video poker variant I encountered at the Red Rock casino on December 15, 2009. It is an optional feature that is added to some multi-play and Spin Poker video poker machines. If the player bets ten coins per hand, as opposed to five, then sometimes the player will get four regular cards on the deal plus a "dream card." Any of the other 48 cards can be used in lieu of the dream card to complete the hand on the deal. The game will select what it thinks is the best one to choose, although sometimes the game gives incorrect advice. If you don't like the card offered, you can click "Dream Card Enabled" to toggle through the other cards until you find one you like better.

The following picture shows an example. On the deal, I received four cards of different ranks, including the queen and the dream card. The game replaced the dream card with the queen of hearts. After the draw, I didn't improve the high pair on the top two hands, but the bottom hand improved to a four of a kind.

In the screenshot below, from VideoPoker.com, the player got four to a royal in the first four cards, and was lucky to have the Dream Card activated, because it filled in the royal flush.

Upon reading the rules for the first time, I was confused if the Dream Card is guaranteed if the player gets a three of a kind or four to a royal in the first four cards. The rule in question states:

If after 4 cards you have a three-of-a-kind, the dream card feature will give you that 4th card for a quad. Four to a royal, the suspense is over — you will get that 5th card.

However, as the screenshot below shows, it is possible to get three of a kind in the first four cards and not get the Dream Card. The Dream Card probability is always the same for any given game, for example 50.5% for jacks or better.

There has been some debate about whether the best card is offered to the player when he gets the Dream Card. In his article A Look at DreamCard — Part II of II , Bob Dancer says, "I've played the game for many hours and I've never seen a case where the DC isn't perfect — or at least tied for being the best. " However, at VideoPoker.com, sometimes the advice is incorrect. As an example, the following is a screenshot from the 9/6 jacks game at videopoker.com.

In the game above I was offered the Q♣, giving me three to a royal. It would have been better to pick any jack or king for a high pair. Here is the expected value of the suggested play and a correct play:

9♥ J♣ K♣ 4♥ Q♣: expected value = 7.5902 coins
9♥ J♣ K♣ 4♥ J♠: expected value = 7.6827 coins

I have more examples of bad Dream Card advice at VideoPoker.com at the end of this page.

The game usually does give correct advice, however. Bob Dancer's article A Look at DreamCard — Part I of II says that when two more or cards are tied, the game will sometimes tease the player with a card that might lead the player to play incorrectly. Take the following two screenshots of VideoPoker.com as examples. In the one on the left, the game correctly gave me a card to complete the straight. However, any six or jack would do. I don't think it was random that it gave me a heart, tempting me to go for the straight flush. In the hand on the right, the game was correct to complete the flush with any spade. However, it gave me the jack of spades, as a temptation to go for the royal.

The following table summarizes both the regular 5-coin return and Dream Card return for all pay tables available from Action Gaming, the manufacturer. Note that the Dream Card return is always higher, although the degree of improvement ranges significantly from 0.02% to 1.55%.

Dream Card Return Summary

Game Pay Table DC Probability 5-Coin Return DC return Difference
Jacks or Better 9-6 50.5% 99.5439% 99.5592% 0.0153%
Jacks or Better 8-6 50.5% 98.3927% 98.3947% 0.0020%
Jacks or Better 8-5 50.5% 97.2984% 97.7344% 0.4360%
Jacks or Better 7-5 50.5% 96.1472% 96.5682% 0.4210%
Bonus Poker Deluxe 9-6 31.3% 99.6417% 99.6692% 0.0275%
Bonus Poker Deluxe 9-5 31.3% 98.5495% 99.0537% 0.5042%
Bonus Poker Deluxe 8-5 31.3% 97.4009% 98.1130% 0.7121%
Bonus Poker Deluxe 7-5 31.3% 96.2526% 97.1723% 0.9197%
Bonus Poker 8-5 46.7% 99.1660% 99.2678% 0.1018%
Bonus Poker 7-5 46.7% 98.0147% 98.1460% 0.1314%
Bonus Poker 6-5 46.7% 96.8687% 97.0429% 0.1742%
Double Bonus Poker 9-7-5 33.7% 99.1065% 99.1723% 0.0659%
Double Bonus Poker 9-6-5 33.7% 97.8062% 98.4408% 0.6346%
Double Bonus Poker 9-6-4 33.7% 96.3754% 97.2519% 0.8765%
Double Bonus Poker 9-5-4 33.7% 95.2738% 96.6110% 1.3372%
Triple Bonus Poker 10-7 27.0% 98.5192% 98.5421% 0.0229%
Triple Bonus Poker 9-7 27.0% 97.4504% 97.7068% 0.2564%
Triple Bonus Poker 9-6 27.0% 95.8759% 96.8456% 0.9697%
Triple Bonus Poker 9-5 27.0% 94.5334% 96.0797% 1.5463%
Double Double Bonus Poker 9-6 31.0% 98.9808% 99.0410% 0.0602%
Double Double Bonus Poker 9-5 31.0% 97.8729% 98.4052% 0.5322%
Double Double Bonus Poker 8-5 31.0% 96.7861% 97.5154% 0.7293%
Double Double Bonus Poker 7-5 31.0% 95.7120% 96.6554% 0.9435%
Triple Double Bonus Poker 9-6 26.7% 98.1540% 98.2082% 0.0542%
Triple Double Bonus Poker 8-6 26.7% 97.1088% 97.4347% 0.3259%
Triple Double Bonus Poker 7-5 26.7% 94.9178% 96.0130% 1.0952%
Deuces Wild 25-15-9-4-4-3 59.0% 98.9131% 99.9127% 0.9996%
Deuces Wild 20-12-10-4-4-3 59.0% 97.5791% 98.0983% 0.5192%
Deuces Wild 20-11-9-4-4-3 59.0% 96.7537% 97.0346% 0.2810%
Deuces Wild 20-10-8-4-4-3 59.0% 95.9638% 96.0160% 0.0522%

The games at the Red Rock are as follows, with the Dream Card return in parenthesis.

  • 8/5 Bonus Poker (99.27%)
  • 20/12/10 Deuces Wild (98.10%)
  • 9/6 Double Double Bonus (99.04%)
  • 9/6 Triple Double Bonus (98.21%)
Next, let's take an in-depth look at the math for 9-6 jacks or better. The following is the pay table for the regular game, which the player will play against 49.5% of the time.

9-6 Jacks — No Dream Card

Win Pays Combinations Probability Return
Royal flush 800 493512264 0.000025 0.019807
Straight flush 50 2178883296 0.000109 0.005465
Four of a kind 25 47093167764 0.002363 0.059064
Full house 9 229475482596 0.011512 0.10361
Flush 6 219554786160 0.011015 0.066087
Straight 4 223837565784 0.011229 0.044917
Three of a kind 3 1484003070324 0.074449 0.223346
Two pair 2 2576946164148 0.129279 0.258558
Pair 1 4277372890968 0.214585 0.214585
Nothing 0 10872274993896 0.545435 0
Total 19933230517200 1 0.995439

This table shows the return table when the player does get the Dream Card. So the player will go against this return table 50.5% of the time. The lower right cell shows the expected return with the Dream Card is 2.98 times a 5-coin bet.

9-6 Jacks — With Dream Card

Win Pays Combinations Probability Return
Royal flush 800 456918000 0.00022 0.176044
Straight flush 50 2324407140 0.001119 0.055973
Four of a kind 25 49425224475 0.023804 0.595089
Full house 9 72467421840 0.034901 0.314108
Flush 6 31890265440 0.015359 0.092152
Straight 4 81497199960 0.03925 0.156999
Three of a kind 3 704590271352 0.339336 1.018009
Two pair 2 196819704576 0.09479 0.18958
Pair 1 766719313272 0.369258 0.369258
Nothing 0 170187452820 0.081964 0
Total 2076378178875 1 2.967211

The next table summarizes the two tables above. The second column shows the probability of each Dream Card state. The third column shows the expected return of each state, relative to a five coins bet. The fourth column is the product of columns 2, 3, 4, and 1/2. The reason for dividing by 2 is that the player must double his bet to enable the Dream Card possibility. The lower right cell shows an overall return of 99.56%.

9-6 Jacks Summary

Dream Card Probability Expected Return Weighted Return
Yes 0.505 2.967211 0.749221
No 0.495 0.995439 0.246371
Total 1 0 0.995592

The following table takes everything into consideration and reflects the overall return of each hand on the draw. The return column is the product of the probability, win, and 1/2. Again, we divide by 2 because the player must double his bet.

9-6 Jacks Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 245942703468 0.000123 0.049353
Straight flush 50 1234727304624 0.000619 0.015486
Four of a kind 25 26292460629798 0.01319 0.164878
Full house 9 46491242496534 0.023323 0.104956
Flush 6 26328362600232 0.013208 0.039625
Straight 4 50589802046916 0.02538 0.050759
Three of a kind 3 415043515532488 0.208217 0.312325
Two pair 2 222977027903771 0.111862 0.111862
Pair 1 583435481177181 0.292695 0.146347
Nothing 0 620684489324988 0.311382 0
Total 1993323051720000 1 0.995592

What follows are overall return tables for all the other games and pay tables.

8-6 Jacks Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 257456143098 0.000129 0.051664
Straight flush 50 1249953044076 0.000627 0.015677
Four of a kind 25 26257907667618 0.013173 0.164662
Full house 8 46364521329522 0.023260 0.09304
Flush 6 26819424765540 0.013455 0.040364
Straight 4 50994166873914 0.025582 0.051165
Three of a kind 3 413723075013785 0.207554 0.311332
Two pair 2 221296201851542 0.111019 0.111019
Pair 1 578165947416605 0.290051 0.145026
Nothing 0 628194397614300 0.315149 0
Total 1993323051720000 1 0.983947

8-5 Jacks Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 246076977762 0.000123 0.04938
Straight flush 50 1233104365944 0.000619 0.015465
Four of a kind 25 26292799010214 0.01319 0.16488
Full house 8 46492692566958 0.023324 0.093297
Flush 5 26216916800778 0.013152 0.032881
Straight 4 50595482868678 0.025382 0.050765
Three of a kind 3 415057375796620 0.208224 0.312336
Two pair 2 222996275588711 0.111872 0.111872
Pair 1 583914632137293 0.292935 0.146468
Nothing 0 620277695607042 0.311178 0
Total 1993323051720000 1 0.977344

7-5 Jacks Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 246075521868 0.000123 0.04938
Straight flush 50 1233209292480 0.000619 0.015467
Four of a kind 25 26292056861862 0.013190 0.164876
Full house 7 46489933417950 0.023323 0.081630
Flush 5 26219021691456 0.013153 0.032884
Straight 4 50641528274964 0.025406 0.050811
Three of a kind 3 415026578479036 0.208208 0.312313
Two pair 2 222952865427191 0.11185 0.11185
Pair 1 583934339731485 0.292945 0.146473
Nothing 0 620287443021708 0.311183 0
Total 1993323051720000 1 0.965682

9-6 Bonus Poker Deluxe Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 849201494634 0.000085 0.034082
Straight flush 50 4238624476584 0.000425 0.010632
Four of a kind 80 90413506566198 0.009072 0.362865
Full house 9 187545082238838 0.018817 0.084678
Flush 6 124054973508564 0.012447 0.037341
Straight 4 209944495527102 0.021065 0.04213
Three of a kind 3 1565881072566850 0.157113 0.235669
Two pair 1 1174815665824170 0.117875 0.058938
Pair 1 2598454888318450 0.260716 0.130358
Nothing 0 4010417748078610 0.402385 0
Total 9966615258600000 1 0.996692

9-5 Bonus Poker Deluxe Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 855079326486 0.000086 0.034318
Straight flush 50 4231670229774 0.000425 0.010615
Four of a kind 80 90408999200418 0.009071 0.362847
Full house 9 187520563799658 0.018815 0.084667
Flush 5 122229022083732 0.012264 0.03066
Straight 4 211499310378060 0.021221 0.042442
Three of a kind 3 1565565200166050 0.157081 0.235621
Two pair 1 1174165534763260 0.11781 0.058905
Pair 1 2600545999582040 0.260926 0.130463
Nothing 0 4009593879070520 0.402302 0
Total 9966615258600000 1 0.990537

8-5 Bonus Poker Deluxe Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 855426019662 0.000086 0.034332
Straight flush 50 4232133196326 0.000425 0.010616
Four of a kind 80 90402945540534 0.009071 0.362823
Full house 8 187498963538622 0.018813 0.075251
Flush 5 122277520488744 0.012269 0.030672
Straight 4 211840073611884 0.021255 0.04251
Three of a kind 3 1565322719839230 0.157057 0.235585
Two pair 1 1173837635335130 0.117777 0.058888
Pair 1 2600356594506440 0.260907 0.130453
Nothing 0 4009991246523430 0.402342 0
Total 9966615258600000 1 0.98113

7-5 Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 171085133034 0.000086 0.034332
Straight flush 50 846449823042 0.000425 0.010616
Four of a kind 80 18080585421390 0.009071 0.362823
Full house 7 37499772288985.2 0.018813 0.065844
Flush 5 24455972310782.4 0.012269 0.030672
Straight 4 42368227275780 0.021255 0.04251
Three of a kind 3 313064358426733 0.157057 0.235585
Two pair 1 234767213766996 0.117777 0.058888
Pair 1 520068341806573 0.260905 0.130453
Nothing 0 802001045466684 0.402344 0
Total 1993323051720000 1 0.971723

8-5 Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 1156262984544 0.000116 0.046405
Straight flush 50 5777930581380 0.00058 0.014493
Four aces 80 11410006495266 0.001145 0.045793
Four 2-4 40 27624954546372 0.002772 0.055435
Four 5-K 25 84309320991876 0.008459 0.105740
Full house 8 223609218631290 0.022436 0.089743
Flush 5 129282045402804 0.012972 0.032429
Straight 4 242293862686884 0.024311 0.048621
Three of a kind 3 1974999798496270 0.198162 0.297242
Two pair 2 1128101090177470 0.113188 0.113188
Pair 1 2862179139185340 0.287177 0.143588
Nothing 0 3275871628420510 0.328684 0
Total 9966615258600000 1 0.992678

7-5 Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 1156259546694 0.000116 0.046405
Straight flush 50 5778764466276 0.00058 0.014495
Four aces 80 11409969091458 0.001145 0.045793
Four 2-4 40 27624951796092 0.002772 0.055435
Four 5-K 25 84305291831676 0.008459 0.105735
Full house 7 223593997481658 0.022434 0.07852
Flush 5 129301454266278 0.012973 0.032434
Straight 4 242544560747406 0.024336 0.048671
Three of a kind 3 1974830555616020 0.198145 0.297217
Two pair 2 1127861936279730 0.113164 0.113164
Pair 1 2862244702010150 0.287183 0.143592
Nothing 0 3275962815466560 0.328694 0
Total 9966615258600000 1 0.98146

6-5 Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 1156253496078 0.000116 0.046405
Straight flush 50 5782182376746 0.00058 0.014504
Four aces 80 11750819800182 0.001179 0.047161
Four 2-4 40 27624945470448 0.002772 0.055435
Four 5-K 25 84305093536488 0.008459 0.105734
Full house 6 216072068463054 0.02168 0.065039
Flush 5 129385920040554 0.012982 0.032455
Straight 4 242578855226352 0.024339 0.048678
Three of a kind 3 1981982647349840 0.198862 0.298293
Two pair 2 1127814369362050 0.113159 0.113159
Pair 1 2861736309589330 0.287132 0.143566
Nothing 0 3276425793888880 0.32874 0
Total 9966615258600000 1 0.970429

9-7-5 Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 985337288190 0.000099 0.039546
Straight flush 50 4674589863876 0.000469 0.011726
Four aces 160 9157979008602 0.000919 0.073509
Four 2-4 80 21018387290490 0.002109 0.084355
Four 5-K 50 64391024088468 0.006461 0.161517
Full house 9 178330513457304 0.017893 0.080518
Flush 7 184136056313022 0.018475 0.064663
Straight 5 259097306167350 0.025997 0.064991
Three of a kind 3 1580938331630860 0.158623 0.237935
Two pair 1 1042648307009520 0.104614 0.052307
Pair 1 2405076070182240 0.241313 0.120657
Nothing 0 4216161356300070 0.423028 0
Total 9966615258600000 1 0.991723

9-6-5 Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 1022697009504 0.000103 0.041045
Straight flush 50 4663699541388 0.000468 0.011698
Four aces 160 9191841371604 0.000922 0.073781
Four 2-4 80 21022018253748 0.002109 0.08437
Four 5-K 50 64859066464356 0.006508 0.162691
Full house 9 180528159004668 0.018113 0.08151
Flush 6 129701869855812 0.013014 0.039041
Straight 5 262791501323508 0.026367 0.065918
Three of a kind 3 1603766604199620 0.160914 0.241371
Two pair 1 1077767768374010 0.108138 0.054069
Pair 1 2569686389646400 0.257829 0.128915
Nothing 0 4041613643555390 0.405515 0
Total 9966615258600000 1 0.984408

9-6-4 Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 1008637782480 0.000101 0.040481
Straight flush 50 4638706064352 0.000465 0.011636
Four aces 160 9210772259892 0.000924 0.073933
Four 2-4 80 21396987240318 0.002147 0.085875
Four 5-K 50 65004894124776 0.006522 0.163057
Full house 9 182602147621986 0.018321 0.082446
Flush 6 130610975249340 0.013105 0.039315
Straight 4 221077027930824 0.022182 0.044364
Three of a kind 3 1627606078463880 0.163306 0.244959
Two pair 1 1113664173838460 0.111739 0.05587
Pair 1 2602992131096230 0.261171 0.130586
Nothing 0 3986802726927450 0.400016 0
Total 9966615258600000 1 0.972519

9-5-4 Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 956512379412 0.000096 0.038389
Straight flush 50 4545100639044 0.000456 0.011401
Four aces 160 9202044571650 0.000923 0.073863
Four 2-4 80 21396614171544 0.002147 0.085873
Four 5-K 50 65183334076278 0.00654 0.163504
Full house 9 183228356570472 0.018384 0.082729
Flush 5 126051803809542 0.012647 0.031619
Straight 4 220483401522408 0.022122 0.044244
Three of a kind 3 1634073729796170 0.163955 0.245932
Two pair 1 1121890740999240 0.112565 0.056282
Pair 1 2636647227151570 0.264548 0.132274
Nothing 0 3942956392912680 0.395616 0
Total 9966615258600000 1 0.96611

10-7 Triple Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 770276905470 0.000077 0.030914
Straight flush 50 3894854703600 0.000391 0.00977
Four aces 240 7851678095430 0.000788 0.094536
Four 2-4 120 18981317708460 0.001904 0.114269
Four 5-K 75 54298717305510 0.005448 0.204302
Full house 10 166510790795880 0.016707 0.083534
Flush 7 177363859954470 0.017796 0.062285
Straight 4 196747385598090 0.019741 0.039481
Three of a kind 3 1440387285630060 0.144521 0.216782
Two pair 1 1111893383350260 0.111562 0.055781
Pair 1 1470393906724660 0.147532 0.073766
Nothing 0 5317521801828110 0.533533 0
Total 9966615258600000 1 0.985421

9-7 Triple Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 770267578260 0.000077 0.030914
Straight flush 50 3895310976960 0.000391 0.009771
Four aces 240 7851631104600 0.000788 0.094535
Four 2-4 120 18981048570600 0.001904 0.114268
Four 5-K 75 54298619274540 0.005448 0.204302
Full house 9 166509131332140 0.016707 0.07518
Flush 7 177382704762120 0.017798 0.062292
Straight 4 196749515922780 0.019741 0.039482
Three of a kind 3 1440370570078380 0.14452 0.216779
Two pair 1 1111870571232780 0.111559 0.05578
Pair 1 1470377873152120 0.14753 0.073765
Nothing 0 5317558014614720 0.533537 0
Total 9966615258600000 1 0.977068

9-6 Triple Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 797543077380 0.00008 0.032009
Straight flush 50 3898367578650 0.000391 0.009779
Four aces 240 7900549782840 0.000793 0.095124
Four 2-4 120 18982600115520 0.001905 0.114277
Four 5-K 75 54314566022340 0.00545 0.204362
Full house 9 166916037659580 0.016748 0.075364
Flush 6 158597100081720 0.015913 0.047739
Straight 4 203089743821370 0.020377 0.040754
Three of a kind 3 1443669061989090 0.14485 0.217276
Two pair 1 1117382526881550 0.112113 0.056056
Pair 1 1509292043731480 0.151435 0.075717
Nothing 0 5281775117858480 0.529947 0
Total 9966615258600000 1 0.968456

9-5 Triple Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 821852208780 0.000082 0.032984
Straight flush 50 3889872369360 0.00039 0.009757
Four aces 240 7892242105440 0.000792 0.095024
Four 2-4 120 18981148014120 0.001904 0.114268
Four 5-K 75 54363018370740 0.005455 0.204544
Full house 9 167192004465180 0.016775 0.075488
Flush 5 146773318477260 0.014726 0.036816
Straight 4 204734144870580 0.020542 0.041084
Three of a kind 3 1446111139431540 0.145096 0.217643
Two pair 1 1122155049615300 0.112591 0.056296
Pair 1 1532685030167020 0.153782 0.076891
Nothing 0 5261016438504680 0.527864 0
Total 9966615258600000 1 0.960797

9-6 Double Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 948153548340 0.000095 0.038053
Straight flush 50 4354152034680 0.000437 0.010922
4 aces + 2-4 400 2625204425148 0.000263 0.05268
4 2-4 + A-4 160 6392606967540 0.000641 0.051312
4 aces + 5-K 160 6085342572912 0.000611 0.048846
4 2-4 + 5-K 80 13714202097720 0.001376 0.055041
4 5-K 50 61087790857860 0.006129 0.153231
Full house 9 176770326411180 0.017736 0.079813
Flush 6 129603890561040 0.013004 0.039011
Straight 4 212890337220420 0.02136 0.042721
Three of a kind 3 1558721933075270 0.156394 0.234591
Two pair 1 1124182924565360 0.112795 0.056397
Pair 1 2547294423410050 0.255583 0.127791
Nothing 0 4121943970852480 0.413575 0
Total 9966615258600000 1 0.99041

9-5 Double Double Bonus Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 900945686160 0.00009 0.036159
Straight flush 50 4258456346520 0.000427 0.010682
4 aces + 2-4 400 2625417871128 0.000263 0.052684
4 2-4 + A-4 160 6392642571540 0.000641 0.051312
4 aces + 5-K 160 6085273145112 0.000611 0.048845
4 2-4 + 5-K 80 13714343089560 0.001376 0.055041
4 5-K 50 61253042860980 0.006146 0.153646
Full house 9 177380453296800 0.017797 0.080089
Flush 5 125040296064960 0.012546 0.031365
Straight 4 212370354136440 0.021308 0.042616
Three of a kind 3 1565025248877550 0.157027 0.23554
Two pair 1 1132165079240980 0.113596 0.056798
Pair 1 2576870895605080 0.25855 0.129275
Nothing 0 4082532809807200 0.409621 0
Total 9966615258600000 1 0.984052

8-5 Double Double Bonus Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 906264637380 0.000091 0.036372
Straight flush 50 4267101601440 0.000428 0.010703
4 aces + 2-4 400 2625134641308 0.000263 0.052679
4 2-4 + A-4 160 6392590055640 0.000641 0.051312
4 aces + 5-K 160 6084428440212 0.00061 0.048838
4 2-4 + 5-K 80 13714343089560 0.001376 0.055041
4 5-K 50 61237272216240 0.006144 0.153606
Full house 8 177317642268000 0.017791 0.071165
Flush 5 125333587722420 0.012575 0.031438
Straight 4 212548407534540 0.021326 0.042652
Three of a kind 3 1564373545385330 0.156961 0.235442
Two pair 1 1131328741058060 0.113512 0.056756
Pair 1 2574361024066510 0.258298 0.129149
Nothing 0 4086125175883360 0.409981 0
Total 9966615258600000 1 0.975154

7-5 Double Double Bonus Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 940036695480 0.000094 0.037727
Straight flush 50 4313305105740 0.000433 0.010819
4 aces + 2-4 400 2625086575908 0.000263 0.052678
4 2-4 + A-4 160 6551444530800 0.000657 0.052587
4 aces + 5-K 160 6084288516492 0.000610 0.048837
4 2-4 + 5-K 80 14177253015720 0.001422 0.056899
4 5-K 50 61135919725860 0.006134 0.153352
Full house 7 163238814104220 0.016379 0.057325
Flush 5 126666374661720 0.012709 0.031773
Straight 4 213657991705260 0.021437 0.042875
Three of a kind 3 1573560822593480 0.157883 0.236825
Two pair 1 1126340014927210 0.113011 0.056506
Pair 1 2558470459786670 0.256704 0.128352
Nothing 0 4108853446655440 0.412262 0
Total 9966615258600000 1 0.966554

9-6 Triple Double Bonus Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 4426106377020 0.000089 0.035527
Straight flush 50 19747670575620 0.000396 0.009907
4 aces + 2-4 800 13700851334988 0.000275 0.109974
4 2-4 + A-4 400 34987507174590 0.000702 0.140419
4 aces + 5-K 160 21725843696532 0.000436 0.034878
4 2-4 + 5-K 80 47076754683840 0.000945 0.037788
4 5-K 50 273006276852660 0.005478 0.13696
Full house 9 770965286958090 0.015471 0.069619
Flush 6 691840900795860 0.013883 0.041649
Straight 4 1043961521122320 0.020949 0.041898
Three of a kind 2 7245303243813600 0.145391 0.145391
Two pair 1 5603122316280780 0.112438 0.056219
Pair 1 12144470105741700 0.243703 0.121851
Nothing 0 21918741907592400 0.439843 0
Total 49833076293000000 1 0.982082

8-6 Triple Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 4426861414665 0.000089 0.035534
Straight flush 50 19754195481405 0.000396 0.009910
4 aces + 2-4 800 13700813512188 0.000275 0.109974
4 2-4 + A-4 400 34987503392310 0.000702 0.140419
4 aces + 5-K 160 21725537804637 0.000436 0.034877
4 2-4 + 5-K 80 47076549022365 0.000945 0.037787
4 5-K 50 272984776482000 0.005478 0.136950
Full house 8 770856814004400 0.015469 0.061875
Flush 6 693817140677505 0.013923 0.041768
Straight 4 1043794780254090 0.020946 0.041892
Three of a kind 2 7244277714050470 0.145371 0.145371
Two pair 1 5601501259912660 0.112405 0.056203
Pair 1 12138110424603400 0.243575 0.121788
Nothing 0 21926061922387900 0.439990 0
Total 49833076293000000 1 0.974347

7-5 Triple Double Bonus Poker Dream Card Return Table

Win Pays Combinations Probability Return
Royal flush 800 4479294103230 0.00009 0.035954
Straight flush 50 19604467060170 0.000393 0.009835
4 aces + 2-4 800 13706888337648 0.000275 0.110022
4 2-4 + A-4 400 34989829428540 0.000702 0.140428
4 aces + 5-K 160 21759561293382 0.000437 0.034932
4 2-4 + 5-K 80 47088884521770 0.000945 0.037797
4 5-K 50 273312603357690 0.005485 0.137114
Full house 7 773016273549630 0.015512 0.054292
Flush 5 629776587699360 0.012638 0.031594
Straight 4 1052952674293920 0.02113 0.042259
Three of a kind 2 7263677394975050 0.14576 0.14576
Two pair 1 5634449578801420 0.113066 0.056533
Pair 1 12319487579664300 0.247215 0.123608
Nothing 0 21744774675913900 0.436352 0
Total 49833076293000000 1 0.96013

More Bad Suggested Dream Card Examples at VideoPoker.com

In the game above I was offered the Q♥, giving me a high pair. It would have been much better to pick either the 5♠ or 6♠ for four to a straight flush.

8♠ 4♠ Q♣ 7♠ Q♥: expected value = 7.6827 coins
8♠ 4♠ Q♣ 7♠ 5♠: expected value = 11.7021 coins

In the game above I was offered the Q♥ again, giving me a high pair. It would have been much better to pick any spade, for a pat flush.

Q♠ 7♠ 3♠ 2♠ Q♥: expected value = 7.6827 coins
Q♠ 7♠ 3♠ 2♠ A♠: expected value = 30.0000 coins

In the game above the card offered was the 2♠ for a pat straight or four to a straight flush draw. The better card would be the ten of clubs, for four to a natural royal.

J♣ K♣ Q♣ A♠ 2♠: expected value = 18.8298 coins
J♣ K♣ Q♣ A♠ 10♣: expected value = 99.6809 coins

In the game above the card offered was the Q♠ for three to a natural royal flush or high pair. The better card would any two or jack for a pat straight.

K♠ 10♠ 9♥ Q♥ Q♠: expected value = 7.0490 coins
K♠ 10♠ 9♥ Q♥ J♣: expected value = 10.0000 coins

External Links and Resources

  • A Look at DreamCard — Part I of II by Bob Dancer.
  • A Look at DreamCard — Part II of II by Bob Dancer.
  • VideoPoker.com has a nice demo of Dream Card. Registration is required to play.

Acknowledgement

I would like to thank "J.B." for his mathematical analysis of this game, which agrees to within 0.01% of the return figures from IGT, quoted in the Bob Dancer article linked to above. J.B. says the few differences are due to rounding.

Best Online Casino Video Poker Bonuses

Rank Casino Bonus % Wager Cash  
1 $500 50% 25xB Play Now
2 $200 20% 20xB&D Play Now
3 $250 250% 50xB Play Now
4 $250 100% 38xB&D Play Now
5 $3000 150% 90xB&D Play Now

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 of multi-play video poker
  • The standard deviation of n-play video poker

Practice / Play Video Poker for Free

Video Poker Calculator

  • Analyze the return for almost any video poker paytable

Other Stuff

Strategies

Full-Pay Jacks or Better:

Full-Pay Deuces Wild:

Quick Quads:

Other Strategies:



Written by: Michael Shackleford

Wizard Recommends

On This Page