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# Triple Play Keno Draw Poker

## Introduction

Triple Play Keno Draw Poker is a video poker variant that combines video poker and keno. The keno game awards both instant wins and multipliers to be applied to the video poker win.

## Rules

1. The game is based on conventional Triple Play video poker, which I assume the reader already understands.
2. The player may play Triple Play video poker with 0 to 15 credits bet. If the player bets 20 or 25 total credits, then he will enable the keno feature.
3. With the keno feature enabled, the player will pick 2 to 10 numbers from the range of 1 to 80.
4. After the player makes a bet, the game will deal the player five cards and draw 10 numbers from the same keno range of 1 to 80.
5. The player will choose which cards to hold.
6. After the player presses the "draw" button, his discarded cards will be replaced and 10 more keno balls will be drawn.
7. According to how many balls chosen by the player match the 20-ball draw by the game will determine both an immediate keno win as well as a multiplier to be applied to the video poker win.
8. Each hand will be scored according to it's poker value and the posted pay table.

The following table shows the immediate keno win with 20 total credits bet.

### Immediate Keno Win with 20 Credits Bet

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
2 24 4 2 0 0 0 0 0 0
3   100 7 10 6 1 0 0 0
4     120 35 8 2 4 2 0
5       2100 150 30 25 10 10
6         3000 600 225 85 50
7           10000 3000 700 300
8             10000 10000 2000
9               20000 9000
10                 20000

The following table shows the immediate keno win with 25 total credits bet.

### Immediate Keno Win with 25 Credits Bet

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
2 77 16 10 0 0 0 0 0 0
3   250 30 20 15 5 0 0 0
4     540 70 25 10 12 5 0
5       4500 400 135 75 25 25
6         8750 2475 575 250 125
7           30000 8400 2050 800
8             50000 25000 5000
9               50000 20000
10                 50000

The following table shows the video poker multiplier win with 20 total credits bet.

### Video Poker Multiplier Win with 20 Credits Bet

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1
2 5 2 2 1 1 1 1 1 1
3   6 2 2 2 2 1 1 1
4     4 7 3 2 2 2 1
5       7 9 4 7 3 3
6         9 4 9 7 9
7           4 9 7 9
8             9 7 9
9               7 9
10                 9

The following table shows the video poker multiplier win with 25 total credits bet.

### Video Poker Multiplier Win with 25 Credits Bet

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1
2 7 2 2 1 1 1 1 1 1
3   12 3 3 2 2 1 1 1
4     12 12 7 2 3 2 1
5       12 12 12 8 6 5
6         12 12 12 12 12
7           12 12 12 12
8             12 12 12
9               12 12
10                 12

# Example

In the following image I am playing 9-5 Jacks or Better, betting 25 credits, and chosing 9 numbers (14,15,16,24,25,26,34,35 and 36). I caught five of the nine numbers chosen (14,15,24,25 and 36). For catching 5 out of 9, my immediate keno win is 25 credits. My video poker multiplier for catching 5 out of 9 is 6x.

Only the bottom hand won with a pair of jacks. The base win for a high pair is 5 credits. With the 6x multiplier, my video poker win is 6×5 = 30. My total win was thus 25 for keno + 30 for video poker = 55 credits.

## Analysis

The following table shows the probability of all possible combinations of picks and catches in the keno portion of the game.

### Keno Probabilities

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0.560127 0.416504 0.308321 0.227184 0.166602 0.121574 0.088266 0.063748 0.045791
1 0.379747 0.430867 0.432732 0.405686 0.363495 0.315193 0.266464 0.220666 0.179571
2 0.060127 0.138754 0.212635 0.270457 0.308321 0.326654 0.328146 0.316426 0.295257
3   0.013875 0.043248 0.083935 0.129820 0.174993 0.214786 0.246109 0.267402
4     0.003063 0.012092 0.028538 0.052191 0.081504 0.114105 0.147319
5       0.000645 0.003096 0.008639 0.018303 0.032601 0.051428
6         0.000129 0.000732 0.002367 0.005720 0.011479
7           0.000024 0.000160 0.000592 0.001611
8             0.000004 0.000033 0.000135
9               0.000001 0.000006
10                 0.000000
Total 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

The following table shows the value of the immediate keno win (in credits), the average video poker multiplier, and the RTP multiplier (compared to the base game only) for a total bet of 20 credits. As an example of the RTP boost, if the base game was 8/5 Bonus Poker, then the RTP without the feature would be 0.991660. With the feature and piking four numbers, the RTP is 0.991660 × 1.003586 = 0.995673.

### 20 Credit Bet Summary

Pick Immediate
Keno
Win
Video
Poker
Multiplier
RTP
Boost
2 1.443038 1.240506 1.002532
3 1.942551 1.208130 1.003225
4 1.095613 1.265074 1.003586
5 2.616924 1.160359 1.001115
6 1.858521 1.212692 1.002445
7 1.221802 1.255369 1.002617
8 1.840912 1.211571 1.000724
9 1.794973 1.217375 1.002780
10 1.899758 1.208713 1.001523

The following table shows the value of the immediate keno win (in credits), the average video poker multiplier, and the RTP multiplier (compared to the base game only) for a total bet of 25 credits. As an example of the RTP boost, if the base game was 8/5 Bonus Poker, then the RTP without the feature would be 0.991660. With the feature and piking ten numbers, the RTP is 0.991660 × 1.003345 = 0.996583.

### 25 Credit Bet Summary

Pick Immediate
Keno
Win
Video
Poker
Multiplier
RTP
Boost
2 4.629747 1.360759 1.001646
3 5.688900 1.291383 1.002386
4 5.078023 1.332829 1.002818
5 5.427326 1.307980 1.001881
6 5.027615 1.336518 1.003015
7 5.107040 1.330529 1.002599
8 5.276705 1.318972 1.002452
9 4.879418 1.346903 1.003318
10 4.814651 1.351265 1.003345

The following table shows the overall Return to Player (RTP) for 20 credits bet under various popular games and pay tables according to the number of picks made in the keno portion. The right column shows the number of picks with the greatest RTP.

In general, to achieve the greatest RTP pick the following number of balls in keno according to the base RTP (without the feature) as follows:

• Base RTP over 0.991561 — Pick 4
• Base RTP under 0.991561 — Pick 3

### 20 Credit Bet ReturnsExpand

Game Pay Table Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10 Best Bet
Jacks or Better 9-6 0.998288 0.999093 0.988877 0.997146 0.998297 0.998323 0.996580 0.998616 0.997388 4
Jacks or Better 9-5 0.988109 0.989179 0.988336 0.987624 0.988346 0.988021 0.986638 0.988626 0.987469 3
Jacks or Better 8-6 0.987578 0.988662 0.977953 0.987127 0.987827 0.987484 0.986119 0.988105 0.986952 3
Jacks or Better 8-5 0.977397 0.978747 0.967030 0.977604 0.977874 0.977181 0.976176 0.978114 0.977032 3
Jacks or Better 7-5 0.966686 0.968315 0.956109 0.967585 0.967403 0.966342 0.965715 0.967603 0.966596 3
Jacks or Better 6-5 0.955976 0.957885 0.995673 0.957568 0.956934 0.955504 0.955255 0.957093 0.956160 3
Bonus Poker 8-5 0.994772 0.995669 0.984749 0.993857 0.994860 0.994765 0.993146 0.995166 0.993962 4
Bonus Poker 7-5 0.984061 0.985237 0.973876 0.983838 0.984389 0.983925 0.982684 0.984654 0.983525 3
Bonus Poker 6-5 0.973399 0.974853 1.000186 0.973864 0.973966 0.973135 0.972271 0.974190 0.973136 3
Bonus Poker Deluxe 9-6 0.999198 0.999979 0.989823 0.997997 0.999187 0.999243 0.997468 0.999509 0.998274 4
Bonus Poker Deluxe 9-5 0.989036 0.990082 0.989285 0.988492 0.989253 0.988960 0.987544 0.989537 0.988373 3
Bonus Poker Deluxe 8-6 0.988509 0.989569 0.978925 0.987998 0.988737 0.988426 0.987029 0.989019 0.987859 3
Bonus Poker Deluxe 8-5 0.978350 0.979675 0.968030 0.978496 0.978806 0.978146 0.977107 0.979050 0.977961 3
Bonus Poker Deluxe 7-5 0.967667 0.969270 0.959572 0.968503 0.968362 0.967334 0.966672 0.968565 0.967551 3
Bonus Poker Deluxe 6-5 0.959372 0.961192 0.995108 0.960744 0.960254 0.958940 0.958571 0.960426 0.959469 3
Double Bonus 9/7/5 0.994219 0.995129 0.982771 0.993339 0.994319 0.994204 0.992605 0.994622 0.993423 3
Double Bonus 9/6/5 0.982121 0.983347 0.979498 0.982023 0.982492 0.981962 0.980790 0.982750 0.981635 3
Double Bonus 10/6/4 0.978912 0.980222 0.969195 0.979022 0.979355 0.978714 0.977655 0.979601 0.978508 3
Double Bonus 9/6/4 0.968809 0.970383 0.958743 0.969571 0.969479 0.968490 0.967788 0.969686 0.968664 3
Double Bonus 9/5/4 0.958560 0.960401 0.993916 0.959985 0.959460 0.958119 0.957778 0.959629 0.958678 3
Double Double Bonus 9-6 0.993049 0.993990 0.983404 0.992245 0.993176 0.993021 0.991463 0.993475 0.992283 3
Double Double Bonus 9-5 0.982742 0.983952 0.973092 0.982604 0.983099 0.982590 0.981396 0.983359 0.982240 3
Double Double Bonus 8-5 0.972630 0.974104 0.962901 0.973146 0.973214 0.972357 0.971520 0.973436 0.972387 3
Double Double Bonus 7-5 0.962637 0.964372 0.996139 0.963798 0.963445 0.962244 0.961760 0.963629 0.962650 3
Triple Double Bonus 10-6 0.995229 0.996113 0.986071 0.994284 0.995307 0.995227 0.993592 0.995614 0.994407 4
Triple Double Bonus 9-6 0.985357 0.986499 0.975315 0.985050 0.985656 0.985236 0.983950 0.985926 0.984788 3
Triple Double Bonus 9-5 0.974810 0.976227 0.976154 0.975185 0.975345 0.974563 0.973649 0.975576 0.974511 3
Triple Double Bonus 8-6 0.975633 0.977028 0.965337 0.975954 0.976149 0.975396 0.974452 0.976383 0.975313 3
Triple Double Bonus 8-5 0.965025 0.966698 0.955366 0.966032 0.965780 0.964661 0.964093 0.965973 0.964977 3
Triple Double Bonus 7-5 0.955248 0.957176 1.001229 0.956886 0.956222 0.954767 0.954543 0.956378 0.955451 3
Triple Triple Bonus 9-6 1.000221 1.000975 0.990385 0.998953 1.000186 1.000278 0.998467 1.000512 0.999271 4
Triple Triple Bonus 9-5 0.989587 0.990619 0.980355 0.989007 0.989791 0.989518 0.988082 0.990077 0.988910 3
Triple Triple Bonus 8-5 0.979752 0.981041 0.970328 0.979808 0.980177 0.979565 0.978476 0.980426 0.979327 3
Triple Triple Bonus 7-5 0.969920 0.971465 0.960313 0.970611 0.970565 0.969615 0.968873 0.970777 0.969747 3
Triple Triple Bonus 6-5 0.960099 0.961900 0.985420 0.961424 0.960964 0.959676 0.959281 0.961139 0.960177 3
Joker Poker 50/17/7/5 0.984719 0.985877 0.977350 0.984453 0.985032 0.984590 0.983327 0.985299 0.984166 3
Joker Poker 50/16/7/5 0.976806 0.978171 0.969285 0.977051 0.977296 0.976583 0.975598 0.977534 0.976456 3
Joker Poker 50/15/7/5 0.968897 0.970468 0.960482 0.969653 0.969564 0.968579 0.967874 0.969772 0.968750 3
Joker Poker 40/20/5/4 0.960264 0.962061 0.998063 0.961579 0.961126 0.959843 0.959443 0.961301 0.960339 3
Deuces Wild 25/15/10/4/4/3 0.997116 0.997951 0.993273 0.996049 0.997151 0.997136 0.995435 0.997465 0.996246 4
Deuces Wild 25/15/9/4/4/3 0.992419 0.993377 0.980616 0.991656 0.992560 0.992384 0.990848 0.992856 0.991669 3
Deuces Wild 20/12/10/4/4/3 0.980008 0.981290 0.975930 0.980047 0.980427 0.979824 0.978726 0.980677 0.979576 3
Deuces Wild 25/16/13/4/3/2 0.975413 0.976814 0.965290 0.975749 0.975935 0.975173 0.974238 0.976167 0.975099 3
Deuces Wild 20/10/8/4/4/3 0.964980 0.966653 0.998369 0.965989 0.965735 0.964615 0.964048 0.965928 0.964933 3
Deuces Wild Bonus 9/4/4/3 0.997416 0.998244 0.994691 0.996330 0.997445 0.997440 0.995728 0.997760 0.996538 4
Deuces Wild Bonus 8/4/4/3 0.993809 0.994731 0.991110 0.992956 0.993919 0.993790 0.992205 0.994221 0.993024 3
Deuces Wild Bonus 7/4/4/3 0.990298 0.991311 0.992224 0.989672 0.990486 0.990237 0.988776 0.990775 0.989603 3
Deuces Wild Bonus 13/4/3/3 0.991390 0.992375 0.978579 0.990694 0.991554 0.991342 0.989843 0.991847 0.990667 3
Deuces Wild Bonus 10/4/3/3 0.978011 0.979344 0.967705 0.978178 0.978474 0.977802 0.976775 0.978716 0.977630 3
Deuces Wild Bonus 12/4/3/2 0.967347 0.968960 0.963386 0.968204 0.968050 0.967011 0.966361 0.968252 0.967240 3
Deuces Wild Bonus 11/4/3/2 0.963112 0.964835 0.959341 0.964243 0.963910 0.962725 0.962224 0.964096 0.963114 3
Deuces Wild Bonus 10/4/3/2 0.959146 0.960972 4.000000 0.960533 0.960033 0.958712 0.958351 0.960204 0.959249 3

The following table shows the overall Return to Player (RTP) for 25 credits bet under various popular games and pay tables according to the number of picks made in the keno portion. The right column shows the number of picks with the greatest RTP.

In general, to achieve the greatest RTP pick the following number of balls in keno according to the base RTP (without the feature) as follows:

• RTP over 0.989829 — Pick 10
• RTP between 0.971999 to 0.989829 — Pick 9
• RTP under 0.971999 — Pick 3

### 25 Credit Bet ReturnsExpand

Game Pay Table Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10 Best Bet
Jacks or Better 9-6 0.997922 0.998852 0.990421 0.998302 0.999358 0.998958 0.998842 0.999632 0.999647
Jacks or Better 9-5 0.988989 0.990374 0.989965 0.989715 0.990584 0.990224 0.990183 0.990791 0.990777
Jacks or Better 8-6 0.988523 0.989932 0.981214 0.989267 0.990126 0.989768 0.989732 0.990329 0.990314
Jacks or Better 8-5 0.979588 0.981453 0.972007 0.980679 0.981351 0.981032 0.981072 0.981486 0.981442
Jacks or Better 7-5 0.970189 0.972533 0.962802 0.971645 0.972119 0.971841 0.971961 0.972182 0.972108
Jacks or Better 6-5 0.960791 0.963614 0.996149 0.962611 0.962889 0.962652 0.962851 0.962880 0.962775
Bonus Poker 8-5 0.994836 0.995924 0.986942 0.995336 0.996327 0.995941 0.995851 0.996578 0.996583
Bonus Poker 7-5 0.985436 0.987003 0.977777 0.986301 0.987095 0.986750 0.986740 0.987274 0.987249
Bonus Poker 6-5 0.976080 0.978123 0.999953 0.977307 0.977905 0.977601 0.977671 0.978013 0.977958
Bonus Poker Deluxe 9-6 0.998720 0.999609 0.991218 0.999069 1.000142 0.999739 0.999616 1.000423 1.000440
Bonus Poker Deluxe 9-5 0.989803 0.991147 0.990765 0.990498 0.991384 0.991019 0.990972 0.991596 0.991585
Bonus Poker Deluxe 8-6 0.989340 0.990707 0.982033 0.990053 0.990929 0.990567 0.990524 0.991138 0.991125
Bonus Poker Deluxe 8-5 0.980425 0.982247 0.972850 0.981484 0.982173 0.981850 0.981883 0.982314 0.982273
Bonus Poker Deluxe 7-5 0.971050 0.973350 0.965721 0.972472 0.972965 0.972683 0.972795 0.973034 0.972963
Bonus Poker Deluxe 6-5 0.963771 0.966442 0.995673 0.965475 0.965816 0.965566 0.965740 0.965829 0.965735
Double Bonus 9/7/5 0.994351 0.995462 0.985274 0.994869 0.995850 0.995466 0.995380 0.996098 0.996101
Double Bonus 9/6/5 0.983734 0.985387 0.982516 0.984664 0.985423 0.985086 0.985090 0.985589 0.985559
Double Bonus 10/6/4 0.980918 0.982715 0.973832 0.981958 0.982657 0.982332 0.982361 0.982802 0.982762
Double Bonus 9/6/4 0.972052 0.974301 0.965023 0.973436 0.973949 0.973663 0.973767 0.974026 0.973958
Double Bonus 9/5/4 0.963058 0.965766 0.994668 0.964790 0.965115 0.964869 0.965049 0.965124 0.965027
Double Double Bonus 9-6 0.993324 0.994489 0.985808 0.993882 0.994842 0.994463 0.994386 0.995082 0.995082
Double Double Bonus 9-5 0.984279 0.985904 0.977117 0.985188 0.985958 0.985618 0.985618 0.986128 0.986099
Double Double Bonus 8-5 0.975406 0.977483 0.968527 0.976659 0.977243 0.976942 0.977017 0.977345 0.977288
Double Double Bonus 7-5 0.966636 0.969161 0.996541 0.968229 0.968629 0.968367 0.968517 0.968665 0.968580
Triple Double Bonus 10-6 0.995237 0.996304 0.988056 0.995721 0.996721 0.996333 0.996240 0.996975 0.996981
Triple Double Bonus 9-6 0.986574 0.988082 0.978990 0.987394 0.988212 0.987862 0.987843 0.988400 0.988378
Triple Double Bonus 9-5 0.977318 0.979299 0.979697 0.978497 0.979122 0.978812 0.978871 0.979239 0.979188
Triple Double Bonus 8-6 0.978040 0.979984 0.970580 0.979191 0.979830 0.979518 0.979571 0.979953 0.979904
Triple Double Bonus 8-5 0.968732 0.971150 0.962176 0.970244 0.970688 0.970416 0.970548 0.970740 0.970661
Triple Double Bonus 7-5 0.960152 0.963007 1.000832 0.961997 0.962261 0.962027 0.962232 0.962247 0.962141
Triple Triple Bonus 9-6 0.999617 1.000461 0.991692 0.999932 1.001023 1.000616 1.000486 1.001311 1.001331
Triple Triple Bonus 9-5 0.990286 0.991605 0.983238 0.990962 0.991858 0.991492 0.991441 0.992075 0.992065
Triple Triple Bonus 8-5 0.981655 0.983415 0.974787 0.982666 0.983381 0.983053 0.983075 0.983532 0.983494
Triple Triple Bonus 7-5 0.973027 0.975226 0.966345 0.974373 0.974907 0.974616 0.974712 0.974991 0.974926
Triple Triple Bonus 6-5 0.964409 0.967047 0.987507 0.966088 0.966442 0.966189 0.966358 0.966461 0.966368
Joker Poker 50/17/7/5 0.986014 0.987551 0.980706 0.986855 0.987662 0.987314 0.987300 0.987846 0.987822
Joker Poker 50/16/7/5 0.979070 0.980961 0.973907 0.980181 0.980842 0.980525 0.980569 0.980972 0.980927
Joker Poker 50/15/7/5 0.972129 0.974374 0.966488 0.973509 0.974025 0.973738 0.973841 0.974102 0.974034
Joker Poker 40/20/5/4 0.964554 0.967185 0.998163 0.966228 0.966585 0.966331 0.966499 0.966604 0.966512
Deuces Wild 25/15/10/4/4/3 0.996893 0.997875 0.994126 0.997313 0.998347 0.997952 0.997845 0.998614 0.998626
Deuces Wild 25/15/9/4/4/3 0.992772 0.993964 0.983458 0.993351 0.994299 0.993922 0.993850 0.994535 0.994533
Deuces Wild 20/12/10/4/4/3 0.981880 0.983628 0.979508 0.982882 0.983602 0.983273 0.983293 0.983754 0.983717
Deuces Wild 25/16/13/4/3/2 0.977848 0.979801 0.970541 0.979006 0.979641 0.979330 0.979384 0.979763 0.979713
Deuces Wild 20/10/8/4/4/3 0.968692 0.971112 0.998421 0.970205 0.970649 0.970377 0.970510 0.970700 0.970621
Deuces Wild Bonus 9/4/4/3 0.997157 0.998126 0.995321 0.997566 0.998606 0.998210 0.998100 0.998875 0.998887
Deuces Wild Bonus 8/4/4/3 0.993991 0.995122 0.992303 0.994524 0.995497 0.995115 0.995032 0.995742 0.995744
Deuces Wild Bonus 7/4/4/3 0.990910 0.992197 0.993242 0.991562 0.992471 0.992102 0.992046 0.992692 0.992684
Deuces Wild Bonus 13/4/3/3 0.991869 0.993107 0.981741 0.992483 0.993412 0.993039 0.992975 0.993641 0.993636
Deuces Wild Bonus 10/4/3/3 0.980127 0.981964 0.972576 0.981197 0.981880 0.981559 0.981594 0.982019 0.981977
Deuces Wild Bonus 12/4/3/2 0.970770 0.973084 0.968936 0.972203 0.972689 0.972409 0.972524 0.972757 0.972684
Deuces Wild Bonus 11/4/3/2 0.967053 0.969557 0.965527 0.968630 0.969039 0.968775 0.968921 0.969078 0.968994
Deuces Wild Bonus 10/4/3/2 0.963573 0.966254 4.000000 0.965285 0.965621 0.965372 0.965548 0.965633 0.965538

## Acknowledgements

I would like to thank VideoPoker.com for the Gold Level membership and permission to use screenshots from their web site.

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