# Super Hand Poker

## Introduction

I first saw Super Hand Poker at the 2015 Global Gaming Expo. The second time was at the Red Rock casino in Las Vegas on January 23, 2016. The game plays like Triple Play video poker except the player gets to choose one of three starting hands to play.

## Rules

1. Super Hand Poker is based on conventional Triple Play video poker.
2. If the player bets the maximum five coins on each line, for a total of 15 credits bet, then he may invoke the Super Hand feature for an additional 15 credit fee.
3. In the Super Hand feature, the player will be given three starting hands and is immediately paid for the poker value of each hand, according to the same pay table as for winning draw hands.
4. Each starting hand is dealt from a separate deck.
5. The game will automatically put the best starting hand, as measured by expected value, on the bottom.
6. The player may choose to swap the bottom hand for the top or middle hand (but there is never an advantage in doing so).
7. The player will then hold the cards he wants to keep from the bottom hand and discard the rest.
8. The rest of the game will play out like conventional Triple Play video poker, with the selected hand and remaining 47-card deck cloned two more times for a total of three hands.
9. Each hand shall be paid according to its poker value and the pay table for that game.

Rules screens. Click on any image for a larger version.

## Example

In the hand above, the best hand was obviously the pair of kings, which the game put in the bottom. It also immediately paid that hand 5 credits for the high pair.

I held the pair of kings, which improved to a two pair in the bottom hand and remained a high pair in the other two. Each hand paid five credits on the draw for 15 credits. Counting both the deal and draw, my total "win" was 5+15=20 credits. Given that the bet cost 30 credits, it was actually a 10-credit loss.

## Bonus Poker Analysis

The following table shows the probability and return for each win on both the deal and the draw for 7-5 Bonus Poker. The lower right cell shows a combined return of 97.87%. As usual, all probabilities assume optimal player strategy.

### 90-60-30-6-5 Bonus Poker

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000048 0.001231 0.038721 0.019976
Straight flush 50 0.000014 0.000202 0.000693 0.010117 0.005405
Four aces 90 0.000018 0.000501 0.001662 0.045092 0.023377
Four 2-4 60 0.000055 0.001167 0.003324 0.070040 0.036682
Four 5-K 30 0.000166 0.003366 0.004987 0.100988 0.052987
Full house 6 0.001441 0.024830 0.008643 0.148979 0.078811
Flush 5 0.001965 0.019049 0.009827 0.095246 0.052537
Straight 4 0.003925 0.015828 0.015699 0.063311 0.039505
Three of a kind 3 0.021128 0.125797 0.063385 0.377390 0.220388
Two pair 2 0.047539 0.217017 0.095078 0.434035 0.264556
Jacks or better 1 0.130021 0.239016 0.130021 0.239016 0.184519
Nothing 0 0.793725 0.353177 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.334551 1.622935 0.978743

## Bonus Poker Deluxe Analysis

The following table shows the probability and return for each win on both the deal and the draw for 82-8-6 Bonus Poker Deluxe. The lower right cell shows a combined return of 98.70%. As usual, all probabilities assume optimal player strategy.

### 82-8-6 Bonus Poker Deluxe

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.001231 0.000046 0.001231 0.037106 0.019169
Straight flush 50 0.000693 0.000213 0.000693 0.010671 0.005682
Four of a kind 82 0.019688 0.005030 0.019688 0.412425 0.216056
Full house 8 0.011525 0.025136 0.011525 0.201085 0.106305
Flush 6 0.011792 0.019379 0.011792 0.116272 0.064032
Straight 4 0.015699 0.015893 0.015699 0.063573 0.039636
Three of a kind 3 0.063385 0.125685 0.063385 0.377055 0.220220
Two pair 1 0.047539 0.216622 0.047539 0.216622 0.132081
Jacks or better 1 0.130021 0.237668 0.130021 0.237668 0.183845
Nothing 0 0.000000 0.354327 0.000000 0.000000 0.000000
Total   0.301573 1.000000 0.301573 1.672478 0.987025

The following table shows the probability and return for each win on both the deal and the draw for 82-7-5 Bonus Poker Deluxe. The lower right cell shows a combined return of 96.35%. As usual, all probabilities assume optimal player strategy.

### 82-7-5 Bonus Poker Deluxe

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.001231 0.000048 0.001231 0.038643 0.019937
Straight flush 50 0.000693 0.000212 0.000693 0.010611 0.005652
Four of a kind 82 0.019688 0.005257 0.019688 0.431070 0.225379
Full house 7 0.010084 0.018748 0.010084 0.131233 0.070658
Flush 5 0.009827 0.018969 0.009827 0.094844 0.052335
Straight 4 0.015699 0.016547 0.015699 0.066189 0.040944
Three of a kind 3 0.063385 0.135049 0.063385 0.405147 0.234266
Two pair 1 0.047539 0.152075 0.047539 0.152075 0.099807
Jacks or better 1 0.130021 0.298929 0.130021 0.298929 0.214475
Nothing 0 0.000000 0.354166 0.000000 0.000000 0.000000
Total   0.298167 1.000000 0.298167 1.628740 0.963453

The following table shows the probability and return for each win on both the deal and the draw for 83-6-5 Bonus Poker Deluxe. The lower right cell shows a combined return of 95.80%. As usual, all probabilities assume optimal player strategy.

### 83-6-5 Bonus Poker Deluxe

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000048 0.001231 0.038764 0.019998
Straight flush 50 0.000014 0.000212 0.000693 0.010624 0.005658
Four of a kind 83 0.000240 0.005440 0.019928 0.451546 0.235737
Full house 6 0.001441 0.014690 0.008643 0.088140 0.048392
Flush 5 0.001965 0.018976 0.009827 0.094878 0.052353
Straight 4 0.003925 0.016555 0.015699 0.066220 0.040959
Three of a kind 3 0.021128 0.138908 0.063385 0.416723 0.240054
Two pair 1 0.047539 0.151923 0.047539 0.151923 0.099731
Jacks or better 1 0.130021 0.298978 0.130021 0.298978 0.214500
Nothing 0 0.793725 0.354270 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.296966 1.617797 0.957382

## Deuces Wild Analysis

The following table shows the probability and return for each win on both the deal and the draw for 25-16-13 Deuces Wild. The lower right cell shows a combined return of 100.03%. As usual, all probabilities assume optimal player strategy.

In case you're wondering where to play this generous pay table, I've only seen it at VideoPoker.com. A Gold membership is required for this game.

### 25-16-13 Deuces Wild

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Natural royal flush 800 0.000002 0.000049 0.001231 0.039160 0.020195
Four deuces 200 0.000018 0.000465 0.003694 0.092900 0.048297
Wild royal flush 25 0.000185 0.004239 0.004617 0.105966 0.055292
Five of a kind 16 0.000240 0.007137 0.003842 0.114196 0.059019
Straight flush 13 0.000796 0.012895 0.010344 0.167638 0.088991
Four of a kind 4 0.012140 0.119841 0.048561 0.479364 0.263962
Full house 3 0.004876 0.034138 0.014627 0.102413 0.058520
Flush 2 0.005568 0.026656 0.011137 0.053312 0.032225
Straight 2 0.023945 0.090487 0.047890 0.180973 0.114432
Three of a kind 1 0.136624 0.382120 0.136624 0.382120 0.259372
Nothing 0 0.815606 0.321974 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.282567 1.718043 1.000305

The following table shows the probability and return for each win on both the deal and the draw for 20-10-8 Deuces Wild. The lower right cell shows a combined return of 97.84%. As usual, all probabilities assume optimal player strategy.

### 20-10-8 Deuces Wild

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Natural royal flush 800 0.000002 0.000049 0.001231 0.039228 0.020230
Four deuces 200 0.000018 0.000497 0.003694 0.099380 0.051537
Wild royal flush 20 0.000185 0.004219 0.003694 0.084379 0.044036
Five of a kind 10 0.000240 0.006893 0.002401 0.068925 0.035663
Straight flush 8 0.000796 0.009838 0.006366 0.078700 0.042533
Four of a kind 4 0.012140 0.119611 0.048561 0.478445 0.263503
Full house 4 0.004876 0.040313 0.019503 0.161252 0.090378
Flush 3 0.005568 0.036039 0.016705 0.108116 0.062411
Straight 2 0.023945 0.092190 0.047890 0.184379 0.116135
Three of a kind 1 0.136624 0.367402 0.136624 0.367402 0.252013
Nothing 0 0.815606 0.322951 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.286669 1.670207 0.978438

## Double Bonus Analysis

The following table shows the probability and return for each win on both the deal and the draw for 55-9-6 Double Bonus. The lower right cell shows a combined return of 98.36%. As usual, all probabilities assume optimal player strategy.

### 55-9-6 Double Bonus

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000048 0.001231 0.038756 0.019994
Straight flush 50 0.000014 0.000216 0.000693 0.010817 0.005755
Four aces 160 0.000018 0.000578 0.002955 0.092545 0.047750
Four 2-4 80 0.000055 0.001135 0.004433 0.090837 0.047635
Four 5-K 55 0.000166 0.003316 0.009142 0.182401 0.095772
Full house 9 0.001441 0.022417 0.012965 0.201753 0.107359
Flush 6 0.001965 0.019585 0.011792 0.117509 0.064651
Straight 5 0.003925 0.021392 0.019623 0.106959 0.063291
Three of a kind 3 0.021128 0.125453 0.063385 0.376360 0.219873
Two pair 1 0.047539 0.190615 0.047539 0.190615 0.119077
Jacks or better 1 0.130021 0.254933 0.130021 0.254933 0.192477
Nothing 0 0.793725 0.360310 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.303780 1.663485 0.983633

The following table shows the probability and return for each win on both the deal and the draw for 52-9-5 Double Bonus. The lower right cell shows a combined return of 95.64%. As usual, all probabilities assume optimal player strategy.

### 52-9-5 Double Bonus

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000049 0.001231 0.038913 0.020072
Straight flush 50 0.000014 0.000212 0.000693 0.010623 0.005658
Four aces 160 0.000018 0.000580 0.002955 0.092722 0.047839
Four 2-4 80 0.000055 0.001165 0.004433 0.093190 0.048811
Four 5-K 52 0.000166 0.003365 0.008643 0.174990 0.091817
Full house 9 0.001441 0.022698 0.012965 0.204284 0.108625
Flush 5 0.001965 0.018992 0.009827 0.094958 0.052393
Straight 4 0.003925 0.016692 0.015699 0.066767 0.041233
Three of a kind 3 0.021128 0.128684 0.063385 0.386052 0.224719
Two pair 1 0.047539 0.195091 0.047539 0.195091 0.121315
Jacks or better 1 0.130021 0.257720 0.130021 0.257720 0.193871
Nothing 0 0.793725 0.354753 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.297391 1.615310 0.956351

## Double Double Bonus Analysis

The following table shows the probability and return for each win on both the deal and the draw for 6-5 Double Double Bonus. The lower right cell shows a combined return of 95.00%. As usual, all probabilities assume optimal player strategy.

### 6-5 Double Double Bonus

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000051 0.001231 0.040412 0.020822
Straight flush 50 0.000014 0.000215 0.000693 0.010735 0.005714
Four aces + 2-4 400 0.000005 0.000156 0.001847 0.062403 0.032125
Four 2-4 + A-4 160 0.000014 0.000335 0.002216 0.053531 0.027874
Four aces + 5-K 160 0.000014 0.000426 0.002216 0.068175 0.035196
Four 2-4 80 0.000042 0.000874 0.003324 0.069912 0.036618
Four 5-K 50 0.000166 0.003360 0.008311 0.167997 0.088154
Full house 6 0.001441 0.021695 0.008643 0.130168 0.069405
Flush 5 0.001965 0.019075 0.009827 0.095375 0.052601
Straight 4 0.003925 0.016714 0.015699 0.066856 0.041277
Three of a kind 3 0.021128 0.129493 0.063385 0.388480 0.225933
Two pair 1 0.047539 0.194566 0.047539 0.194566 0.121052
Jacks or better 1 0.130021 0.256499 0.130021 0.256499 0.193260
Nothing 0 0.793725 0.356543 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.294953 1.605108 0.950031

## Jacks or Better Analysis

The following table shows the probability and return for each win on both the deal and the draw for 30-9-5 Jacks or Better. The lower right cell shows a combined return of 98.51%. As usual, all probabilities assume optimal player strategy.

### 30-9-5 Jacks or Better

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000048 0.001231 0.038738 0.019985
Straight flush 50 0.000014 0.000202 0.000693 0.010082 0.005388
Four of a kind 30 0.000240 0.005019 0.007203 0.150581 0.078892
Full house 9 0.001441 0.025160 0.012965 0.226438 0.119702
Flush 5 0.001965 0.019108 0.009827 0.095539 0.052683
Straight 4 0.003925 0.015670 0.015699 0.062681 0.039190
Three of a kind 3 0.021128 0.125531 0.063385 0.376593 0.219989
Two pair 2 0.047539 0.217187 0.095078 0.434374 0.264726
Jacks or better 1 0.130021 0.239032 0.130021 0.239032 0.184526
Nothing 0 0.793725 0.353043 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.336102 1.634059 0.985081

The following table shows the probability and return for each win on both the deal and the draw for 32-6-5 Jacks or Better. The lower right cell shows a combined return of 95.04%. As usual, all probabilities assume optimal player strategy.

### 32-6-5 Jacks or Better

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000048 0.001231 0.038729 0.019980
Straight flush 50 0.000014 0.000203 0.000693 0.010129 0.005411
Four of a kind 32 0.000240 0.005019 0.007683 0.160613 0.084148
Full house 6 0.001441 0.025158 0.008643 0.150946 0.079795
Flush 5 0.001965 0.019125 0.009827 0.095623 0.052725
Straight 4 0.003925 0.015679 0.015699 0.062717 0.039208
Three of a kind 3 0.021128 0.125522 0.063385 0.376565 0.219975
Two pair 2 0.047539 0.217160 0.095078 0.434321 0.264699
Jacks or better 1 0.130021 0.238977 0.130021 0.238977 0.184499
Nothing 0 0.793725 0.353110 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.332261 1.568620 0.950440

## Triple Double Bonus Analysis

The following table shows the probability and return for each win on both the deal and the draw for 9-6 Triple Double Bonus. The lower right cell shows a combined return of 100.58%. As usual, all probabilities assume optimal player strategy.

In case you're wondering where to play this generous pay table, I've only seen it at VideoPoker.com. A Gold membership is required for this game.

### 9-6 Triple Double Bonus

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000054 0.001231 0.042912 0.022071
Straight flush 50 0.000014 0.000221 0.000693 0.011071 0.005882
Four aces + 2-4 800 0.000005 0.000182 0.003694 0.145653 0.074673
Four 2-4 + A-4 400 0.000014 0.000412 0.005541 0.164838 0.085189
Four aces + 5-K 160 0.000014 0.000352 0.002216 0.056352 0.029284
Four 2-4 80 0.000042 0.000653 0.003324 0.052256 0.027790
Four 5-K 50 0.000166 0.003296 0.008311 0.164796 0.086554
Full house 9 0.001441 0.021539 0.012965 0.193847 0.103406
Flush 6 0.001965 0.020096 0.011792 0.120574 0.066183
Straight 4 0.003925 0.018779 0.015699 0.075116 0.045407
Three of a kind 2 0.021128 0.127332 0.042257 0.254664 0.148460
Two pair 1 0.047539 0.191896 0.047539 0.191896 0.119717
Jacks or better 1 0.130021 0.252322 0.130021 0.252322 0.191172
Nothing 0 0.793725 0.362867 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.285283 1.726297 1.005790

The following table shows the probability and return for each win on both the deal and the draw for 8-5 Triple Double Bonus. The lower right cell shows a combined return of 98.35%. As usual, all probabilities assume optimal player strategy.

### 8-5 Triple Double Bonus

Hand Pays Probability
on Deal
Probability
on Draw
Return
on Deal
Return
on Draw
Combined
Return
Royal flush 800 0.000002 0.000054 0.001231 0.043235 0.022233
Straight flush 50 0.000014 0.000216 0.000693 0.010816 0.005754
Four aces + 2-4 800 0.000005 0.000182 0.003694 0.145742 0.074718
Four 2-4 + A-4 400 0.000014 0.000412 0.005541 0.164846 0.085193
Four aces + 5-K 160 0.000014 0.000353 0.002216 0.056422 0.029319
Four 2-4 80 0.000042 0.000653 0.003324 0.052256 0.027790
Four 5-K 50 0.000166 0.003303 0.008311 0.165148 0.086730
Full house 8 0.001441 0.021569 0.011525 0.172551 0.092038
Flush 5 0.001965 0.019368 0.009827 0.096842 0.053335
Straight 4 0.003925 0.018824 0.015699 0.075297 0.045498
Three of a kind 2 0.021128 0.127654 0.042257 0.255308 0.148783
Two pair 1 0.047539 0.192361 0.047539 0.192361 0.119950
Jacks or better 1 0.130021 0.254353 0.130021 0.254353 0.192187
Nothing 0 0.793725 0.360698 0.000000 0.000000 0.000000
Total   1.000000 1.000000 0.281877 1.685176 0.983527

## Return Summary

The following table summarizes the returns for all known games and pay tables.

### Return Summary

Game Pay Table Return
Bonus Poker 90-60-30-6-5 97.87%
Bonus Poker Deluxe 82-7-5 96.35%
Bonus Poker Deluxe 83-6-5 95.74%
Deuces Wild 25-16-13 100.03%
Deuces Wild 20-10-8 97.84%
Double Bonus 55-9-6 98.36%
Double Bonus 52-9-5 95.64%
Double Double Bonus 6-5 95.00%
Jacks or Better 30-9-5 98.51%
Jacks or Better 32-6-5 95.04%
Triple Double Bonus 8-5 98.35%
Triple Double Bonus 9-6 100.58%

## Strategy

You can never go wrong with accepting the game's determination of the best hand to put on the bottom. Sometimes it will be a tie, in which case you can switch with an equal hand, but it will neither help nor hurt you.

For which cards to keep and discard, you may use conventional video poker strategy. There are some unusual pay tables, so you may wish to use my video poker strategy calculator to help.

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