Full House Plus Wheel Poker

Introduction

Full House Plus Wheel Poker is a video poker variant where the player spins a prize wheel if the player gets at a full house or better on the draw on any hand. It is an optional feature to multi-play games, in which the player may play 3, 5, or 10 plays. To invoke the feature, the player must pay ten credits per play, with five of them paying to enable the feature.

For wild card games, the player must get what looks like a natural full house or better. For example, in deuces wild, QQQ22 would qualify for the bonus, but QQ882 would not. In joker wild, the hand must be natural to get the bonus spin.

The game is by Action Gaming. As usual, the return is a little higher if the player pays for the feature and assuming optimal strategy.

Example

In this example, I'm playing 9-5 Jacks or Better in five-play mode.

In the first image (above), I'm dealt a pair of tens, which I hold.

In the second image (above), one of my hands improves to a four of a kind, entitling me to a wheel spin, because the hand is equal or greater to a full house.

In the third image (above), the wheel stops on the lowest prize of 200. Prizes shows on the wheel are automatically doubled for any win greater than a full house. Normally, with a full house, the range is 50 to 2000.

In the fourth image (above), the game outcome is shown. In the only winning hand I wont 125 credits for the four of a kind per the pay table and another 200 for the wheel spin.

Prize Wheels

There are 11 different possible wheels used by Action Gaming, the maker of Full House Plus Wheel Poker. The prizes are all the same, but the weightings to each prize vary slightly. In general, the more liberal the pay table, the greater the average win on the wheel. Also, the average win for the wheels on wild card games are more, I assume because the probability of getting a qualifying hand is less, assuming optimal player stragtegy.

The lower right cell in each table shows the average win, which ranges from 294.6808511 to 338.500000.

Of of the descriptions make use of the following abbreviations:

The following table shows the weighting for each possible win on what I call Wheel 1. This wheel is used in some forms of Joker Poker.

Wheel 1

Win Weight Probability Return
175 10 0.066667 11.666667
1000 8 0.053333 53.333333
225 25 0.166667 37.500000
150 8 0.053333 8.000000
300 18 0.120000 36.000000
125 10 0.066667 8.333333
2000 2 0.013333 26.666667
350 27 0.180000 63.000000
100 6 0.040000 4.000000
500 16 0.106667 53.333333
275 20 0.133333 36.666667
Total 150 1.000000 338.500000

The following table shows the weighting for each possible win on what I call Wheel 2. This wheel is used in some forms of Joker Poker.

Wheel 2

Win Weight Probability Return
175 10 0.068027 11.904762
1000 7 0.047619 47.619048
225 25 0.170068 38.265306
150 8 0.054422 8.163265
300 18 0.122449 36.734694
125 10 0.068027 8.503401
2000 2 0.013605 27.210884
350 27 0.183673 64.285714
100 6 0.040816 4.081633
500 14 0.095238 47.619048
275 20 0.136054 37.414966
Total 147 1.000000 331.802721

The following table shows the weighting for each possible win on what I call Wheel 3. This wheel is used in some forms of Joker Poker.

Wheel 3

Win Weight Probability Return
175 10 0.068500 11.986000
1000 6 0.041100 41.096000
225 25 0.171200 38.527000
150 8 0.054800 8.219000
300 18 0.123300 36.986000
125 10 0.068500 8.562000
2000 2 0.013700 27.397000
350 27 0.184900 64.726000
100 6 0.041100 4.110000
500 14 0.095900 47.945000
275 20 0.137000 37.671000
Total 146 1.000000 327.226000

The following table shows the weighting for each possible win on what I call Wheel 4. This wheel is used in some forms of Deuces Wild.

Wheel 4

Win Weight Probability Return
175 10 0.068027 11.904762
1000 7 0.047619 47.619048
225 25 0.170068 38.265306
150 8 0.054422 8.163265
300 18 0.122449 36.734694
125 10 0.068027 8.503401
2000 1 0.006803 13.605442
350 27 0.183673 64.285714
100 7 0.047619 4.761905
500 14 0.095238 47.619048
275 20 0.136054 37.414966
Total 147 1.000000 318.877551

The following table shows the weighting for each possible win on what I call Wheel 5. This wheel is used in some forms of Super Bonus Deuces Wild and Deuces Wild Bonus.

Wheel 5

Win Weight Probability Return
175 10 0.067114 11.744966
1000 7 0.046980 46.979866
225 25 0.167785 37.751678
150 8 0.053691 8.053691
300 18 0.120805 36.241611
125 10 0.067114 8.389262
2000 1 0.006711 13.422819
350 27 0.181208 63.422819
100 9 0.060403 6.040268
500 14 0.093960 46.979866
275 20 0.134228 36.912752
Total 149 1.000000 315.939597

The following table shows the weighting for each possible win on what I call Wheel 6. This wheel is used in some forms of Super Bonus Deuces Wild and Deuces Wild Bonus.

Wheel 6

Win Weight Probability Return
175 10 0.067568 11.824324
1000 7 0.047297 47.297297
225 25 0.168919 38.006757
150 8 0.054054 8.108108
300 18 0.121622 36.486486
125 10 0.067568 8.445946
2000 1 0.006757 13.513514
350 27 0.182432 63.851351
100 8 0.054054 5.405405
500 14 0.094595 47.297297
275 20 0.135135 37.162162
Total 148 1.000000 317.398649

The following table shows the weighting for each possible win on what I call Wheel 7. This wheel is used in some forms of Deuces Wild.

Wheel 7

Win Weight Probability Return
175 10 0.069930 12.237762
1000 5 0.034965 34.965035
225 25 0.174825 39.335664
150 8 0.055944 8.391608
300 18 0.125874 37.762238
125 8 0.055944 6.993007
2000 1 0.006993 13.986014
350 27 0.188811 66.083916
100 7 0.048951 4.895105
500 14 0.097902 48.951049
275 20 0.139860 38.461538
Total 143 1.000000 312.062937

The following table shows the weighting for each possible win on what I call Wheel 8. This wheel is used in the following games and pay tables: DDB 85, DDB 95, TDB 96, TTB 85, TTB 95, WHA 85, SDB 75, SDB 85, SDDB 65, SDDB 75, DDBP 95.

Wheel 8

Win Weight Probability Return
175 10 0.070922 12.411348
1000 5 0.035461 35.460993
225 25 0.177305 39.893617
150 8 0.056738 8.510638
300 18 0.127660 38.297872
125 8 0.056738 7.092199
2000 1 0.007092 14.184397
350 27 0.191489 67.021277
100 10 0.070922 7.092199
500 9 0.063830 31.914894
275 20 0.141844 39.007092
Total 141 1.000000 300.886525

The following table shows the weighting for each possible win on what I call Wheel 9. This wheel is used in the following games and pay tables: TDB 95, TTB 75, WHA 75.

Wheel 9

Win Weight Probability Return
175 10 0.071942 12.589928
1000 4 0.028777 28.776978
225 25 0.179856 40.467626
150 8 0.057554 8.633094
300 18 0.129496 38.848921
125 8 0.057554 7.194245
2000 1 0.007194 14.388489
350 27 0.194245 67.985612
100 9 0.064748 6.474820
500 9 0.064748 32.374101
275 20 0.143885 39.568345
Total 139 1.000000 297.302158

The following table shows the weighting for each possible win on what I call Wheel 10. This wheel is used in the following games and pay tables: BNS 75, BDLX 85, DB 964, DDB 65, DDB 75, JOB 95, JOB 86, SDB 65, TTB 65, WHA 65, DDBP 75.

Wheel 10

Win Weight Probability Return
175 10 0.071429 12.500000
1000 4 0.028571 28.571429
225 25 0.178571 40.178571
150 8 0.057143 8.571429
300 18 0.128571 38.571429
125 8 0.057143 7.142857
2000 1 0.007143 14.285714
350 27 0.192857 67.500000
100 10 0.071429 7.142857
500 9 0.064286 32.142857
275 20 0.142857 39.285714
Total 140 1.000000 295.892857

The following table shows the weighting for each possible win on what I call Wheel 11. This wheel is used in the following games and pay tables: BNS 65, BDLX 75.

Wheel 11

Win Weight Probability Return
175 10 0.070922 12.411348
1000 4 0.028369 28.368794
225 25 0.177305 39.893617
150 8 0.056738 8.510638
300 18 0.127660 38.297872
125 9 0.063830 7.978723
2000 1 0.007092 14.184397
350 27 0.191489 67.021277
100 10 0.070922 7.092199
500 9 0.063830 31.914894
275 20 0.141844 39.007092
Total 141 1.000000 294.680851

Return Tables

The following tables show the number of combinations, probability and return for all possible hands on the draw. The bonus win is an average and per-coin, based on a five-coin bet (in other words, 1/5 of the total average bonus win for a full house). Not every game and pay table is shown. Those shown serve more as an example. As usual, combinations are based on optimal player strategy.

Bonus Poker — 7/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal flush 800 118.36 918.36 39,849,524 0.000024 0.011016
Straight flush 50 118.36 168.36 207,466,445 0.000125 0.010514
Four aces 80 118.36 198.36 347,608,904 0.000209 0.020755
Four 2's - 4's 40 118.36 158.36 892,766,688 0.000537 0.042555
Four 5's - K's 25 118.36 143.36 2,776,299,128 0.001671 0.119801
Full house 7 59.18 66.18 19,442,176,800 0.011704 0.387290
Flush 5 0 5 16,122,172,046 0.009706 0.024264
Straight 4 0 4 15,697,189,867 0.009450 0.018900
Three of a kind 3 0 3 127,306,981,876 0.076640 0.114960
Two pair 2 0 2 219,577,582,908 0.132188 0.132188
Jacks or better 1 0 1 340,372,457,256 0.204908 0.102454
Losing hand 0 0 0 918,319,991,658 0.552838 0.000000
Total       1,661,102,543,100 1.000000 0.984695

Double Bonus Poker — 9/6/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal flush 800 120.35 920.35 39,995,071 0.000024 0.011080
Straight flush 50 120.35 170.35 200,932,851 0.000121 0.010303
Four aces 160 120.35 280.35 351,501,307 0.000212 0.029663
Four 2's - 4's 80 120.35 200.35 892,540,293 0.000537 0.053827
Four 5's - K's 50 120.35 170.35 2,767,365,878 0.001666 0.141904
Full house 9 60.18 69.18 19,414,889,442 0.011688 0.404271
Flush 6 0 6 16,049,152,208 0.009662 0.028985
Straight 5 0 5 17,403,446,070 0.010477 0.026193
Three of a kind 3 0 3 126,924,847,185 0.076410 0.114615
Two pair 1 0 1 218,778,816,807 0.131707 0.065853
Jacks or better 1 0 1 338,795,732,658 0.203958 0.101979
Losing hand 0 0 0 919,483,323,330 0.553538 0.000000
Total       1,661,102,543,100 1.000000 0.988673

Triple Triple Bonus Poker — 9/6

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal Flush 800 120.35 920.35 40,746,579 0.000025 0.011288
Straight Flush 50 120.35 170.35 210,861,729 0.000127 0.010812
Four Aces with any 2,3,4 800 120.35 920.35 106,569,997 0.000064 0.029523
Four 2s, 3s, 4s with any A,2,3,4 400 120.35 520.35 242,400,387 0.000146 0.037967
Four Aces 160 120.35 280.35 220,600,190 0.000133 0.018616
Four 2s, 3s, 4s 80 120.35 200.35 652,688,903 0.000393 0.039362
Four 5s thru Ks 50 120.3546099 170.3546099 2,764,808,109 0.001664 0.141773
Full House 9 60.17730496 69.17730496 19,430,689,074 0.011697 0.404600
Flush 6 0 6 16,267,447,917 0.009793 0.029379
Straight 4 0 4 15,882,166,296 0.009561 0.019122
Three of a Kind 2 0 2 127,164,784,076 0.076554 0.076554
Two Pair 1 0 1 219,313,714,752 0.132029 0.066015
Jacks or Better 1 0 1 339,141,928,701 0.204167 0.102083
All Other 0 0 0 919,663,136,390 0.553646 0.000000
Total       1,661,102,543,100 1.000000 0.987095

Super Double Bonus Poker — 8/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal Flush 800 120.35 920.35 39,603,392 0.000024 0.010971
Straight Flush 80 120.35 200.35 220,084,236 0.000132 0.013273
Four Aces 160 120.35 280.35 341,757,077 0.000206 0.028840
Four Js, Qs, Ks 120 120.35 240.35 997,335,120 0.000600 0.072155
Four 2s, 3s, 4s 80 120.35 200.35 892,806,936 0.000537 0.053843
Four 5s thru 10s 50 120.35 170.35 1,784,722,396 0.001074 0.091516
Full House 8 60.17730496 68.17730496 19,440,010,761 0.011703 0.398942
Flush 5 0 5 15,765,222,037 0.009491 0.023727
Straight 4 0 4 15,722,625,012 0.009465 0.018930
Three of a Kind 3 0 3 127,295,597,325 0.076633 0.114950
Two Pair 1 0 1 219,546,939,861 0.132169 0.066085
Jacks or Better 1 0 1 340,451,910,549 0.204955 0.102478
All Other 0 0 0 918,603,928,398 0.553009 0.000000
Total       1,661,102,543,100 1.000000 0.995711

Triple Triple Bonus Poker — 9/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal Flush 800 120.35 920.35 39,595,116 0.000024 0.010969
Straight Flush 50 120.35 170.35 203,281,514 0.000122 0.010424
Four Aces with any 2,3,4 800 120.35 920.35 107,240,938 0.000065 0.029709
Four 2s, 3s, 4s with an Ace 800 120.35 920.35 107,983,942 0.000065 0.029915
Four 2s, 3s, 4s with any 2,3,4 400 120.35 520.35 151,536,678 0.000091 0.023735
Four Aces 160 120.35 280.35 222,169,807 0.000134 0.018748
Four 2s, 3s, 4s 80 120.3546099 200.3546099 613,672,081 0.000369 0.037009
Four 5s thru Ks 50 120.3546099 170.3546099 2,767,455,576 0.001666 0.141908
Full House 9 60.17730496 69.17730496 19,487,463,858 0.011732 0.405782
Flush 5 0 5 15,960,405,055 0.009608 0.024021
Straight 3 0 3 13,434,503,722 0.008088 0.012132
Three of a Kind 2 0 2 127,826,411,926 0.076953 0.076953
Two Pair 1 0 1 220,450,683,366 0.132713 0.066357
Jacks or Better 1 0 1 341,705,533,644 0.205710 0.102855
All Other 0 0 0 918,024,605,877 0.552660 0.000000
Total       1,661,102,543,100 1.000000 0.990517

White Hot Aces — 6/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal flush 800 118.36 918.36 39,904,435 0.000024 0.011031
Straight flush 80 118.36 198.36 220,595,592 0.000133 0.013171
Four aces 240 118.36 358.36 353,541,270 0.000213 0.038136
Four 2's - 4's 120 118.36 238.36 892,803,969 0.000537 0.064056
Four 5's - K's 50 118.36 168.36 2,769,308,790 0.001667 0.140338
Full house 6 59.18 65.18 19,437,136,641 0.011701 0.381339
Flush 5 0 5 15,772,626,293 0.009495 0.023738
Straight 4 0 4 15,683,762,601 0.009442 0.018884
Three of a kind 3 0 3 127,263,184,140 0.076614 0.114921
Two pair 1 0 1 219,513,555,306 0.132149 0.066075
Jacks or better 1 0 1 340,025,054,451 0.204698 0.102349
Losing hand 0 0 0 919,131,069,612 0.553326 0.000000
Total       1,661,102,543,100 1.000000 0.974036

White Hot Aces — 7/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal flush 800 118.92 918.92 39,900,565 0.000024 0.011036
Straight flush 80 118.92 198.92 220,583,466 0.000133 0.013208
Four aces 240 118.92 358.92 353,541,657 0.000213 0.038196
Four 2's - 4's 120 118.92 238.92 892,804,485 0.000537 0.064207
Four 5's - K's 50 118.92 168.92 2,769,319,497 0.001667 0.140809
Full house 7 59.46 66.46 19,437,171,471 0.011701 0.388839
Flush 5 0 5 15,772,259,159 0.009495 0.023738
Straight 4 0 4 15,683,064,453 0.009441 0.018883
Three of a kind 3 0 3 127,263,575,397 0.076614 0.114921
Two pair 1 0 1 219,513,962,817 0.132150 0.066075
Jacks or better 1 0 1 340,029,726,315 0.204701 0.102351
Losing hand 0 0 0 919,126,633,818 0.553323 0.000000
Total       1,661,102,543,100 1.000000 0.982261

White Hot Aces — 8/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal flush 800 120.35 920.35 39,852,491 0.000024 0.011040
Straight flush 80 120.35 200.35 220,445,995 0.000133 0.013295
Four aces 240 120.35 360.35 353,551,031 0.000213 0.038349
Four 2's - 4's 120 120.35 240.35 892,872,726 0.000538 0.064598
Four 5's - K's 50 120.35 170.35 2,769,390,146 0.001667 0.142008
Full house 8 60.18 68.18 19,437,695,727 0.011702 0.398895
Flush 5 0 5 15,767,970,984 0.009492 0.023731
Straight 4 0 4 15,678,846,110 0.009439 0.018878
Three of a kind 3 0 3 127,269,103,735 0.076617 0.114926
Two pair 1 0 1 219,520,762,407 0.132154 0.066077
Jacks or better 1 0 1 340,049,340,249 0.204713 0.102357
Losing hand 0 0 0 919,102,711,499 0.553309 0.000000
Total       1,661,102,543,100 1.000000 0.994153

Super Double Double Bonus — 7/5

Event Base Win Bonus
Win
Total
Win
Combinations Probability Return
Royal Flush 800 120.35 920.35 39,471,554 0.000024 0.010935
Straight Flush 50 120.35 170.35 198,286,074 0.000119 0.010168
Four Aces with any 2,3,4 400 120.35 520.35 91,271,043 0.000055 0.014296
Four Aces with any J,Q,K 320 120.35 440.35 97,042,585 0.000058 0.012863
Four 2s, 3s, 4s with any A,2,3,4 160 120.35 280.35 241,814,701 0.000146 0.020406
Four Js, Qs, Ks with any J,Q,K,A 160 120.35 280.35 276,927,435 0.000167 0.023369
Four Aces 160 120.35 280.35 166,919,520 0.000100 0.014086
Four 2s, 3s, 4s 80 120.35 200.35 651,177,092 0.000392 0.039271
Four 5s thru Ks 50 120.35 170.35 2,493,665,249 0.001501 0.127869
Full House 7 60.18 67.18 19,451,713,125 0.011710 0.393327
Flush 5 0 5 15,804,754,087 0.009515 0.023787
Straight 4 0 4 15,846,822,944 0.009540 0.019080
Three of a Kind 3 0 3 127,382,123,043 0.076685 0.115028
Two Pair 1 0 1 219,661,574,679 0.132238 0.066119
Jacks or Better 1 0 1 341,313,283,281 0.205474 0.102737
All Other 0 0 0 917,385,696,688 0.552275 0.000000
Total       1,661,102,543,100 1.000000 0.993341

Summary

The following table shows a summary of the return without the feature, average bonus win for a full house, and return with the feature for games I have analyzed. This list does not include Joker Poker, for which I don't enough information about. All I can say is VideoPoker.com follows the 940,200,100,50,50,16,7,5,3,2,1,1 pay table for the kings or better version of Joker Poker.

Return Summary

Game Pay Table Return
Without
Feature
Average
Wheel
Win
Return
With
Feature
Jacks or Better 9-5 98.45% 295.89 98.68%
Jacks or Better 8-6 98.39% 295.89 98.58%
Jacks or Better 8-5 97.30% 293.49 97.69%
Jacks or Better 7-5 96.15% 293.49 97.10%
Jacks or Better 6-5 95.00% 290.88 96.08%
Bonus Poker 7-5 98.01% 295.89 98.47%
Bonus Poker 6-5 96.87% 294.68 97.68%
Bonus Poker Deluxe 8-5 97.40% 295.89 98.14%
Bonus Poker Deluxe 7-5 96.25% 294.68 97.35%
Bonus Poker Deluxe 6-5 95.36% 293.49 96.56%
Double Bonus 9/6/5 97.81% 300.89 98.87%
Double Bonus 9/6/4 96.38% 295.89 97.53%
Double Bonus 7/5/4 93.11% 288.14 94.57%
Double Double Bonus 9-5 97.87% 300.89 99.14%
Double Double Bonus 8-5 96.79% 300.89 98.55%
Double Double Bonus 7-5 95.71% 295.89 97.13%
Double Double Bonus 6-5 94.66% 295.89 96.54%
Triple Triple Bonus 9-5 98.61% 300.89 99.05%
Triple Triple Bonus 8-5 97.55% 300.89 98.47%
Triple Triple Bonus 7-5 96.49% 297.30 97.28%
Triple Triple Bonus 6-5 95.44% 295.89 96.45%
Deuces Wild 25/15/9/4/4/3 98.91% 318.88 99.31%
Deuces Wild 20/12/10/4/4/3 97.58% 317.40 98.40%
Deuces Wild 25/16/13/4/3/2 97.09% 312.06 97.34%
Deuces Wild 20/10/8/4/4/3 95.96% 312.06 96.81%
Deuces Wild 25/15/10/4/3/2 94.82% 308.05 95.80%
Deuces Wild Bonus 13/4/3/3 98.80% 317.40 99.21%
Deuces Wild Bonus 10/4/3/3 97.36% 317.40 98.35%
Deuces Wild Bonus 12/4/3/2 96.22% 308.05 96.70%
Deuces Wild Bonus 10/4/3/2 95.34% 304.69 95.73%
Super Double Bonus 8/5 98.69% 300.89 99.57%
Super Double Bonus 7/5 97.77% 300.89 98.99%
Super Double Bonus 6/5 96.87% 295.89 97.56%
Super Double Double Bonus 7/5 98.61% 300.89 99.33%
Super Double Double Bonus 6/5 97.69% 300.89 98.75%
White Hot Aces 8/5 98.50% 300.89 0.99%
White Hot Aces 7/5 97.44% 297.30 98.23%
White Hot Aces 6/5 96.39% 295.89 97.40%
Super Bonus Deuces Wild 25/12/9/4/3 98.84% 317.40 99.29%
Super Bonus Deuces Wild 25/10/8/4/3 97.87% 315.94 98.57%
Super Bonus Deuces Wild 25/10/6/4/3 97.12% 312.06 97.56%
Super Bonus Deuces Wild 20/10/8/4/3 96.94% 312.06 97.57%

Strategy

For games without wild cards, put in the average wheel award for a full house and 2x that average for all higher hands into my video poker strategy maker. I'm afraid you are on your own with the wild card games, but the strategies would be very complicated.

Acknowledgements

I would like to thank VideoPoker.com for letting me use screenshots of their game as well as providing me information about the rules and returns, which match those games and pay tables I analyzed. You may play Full House Plus Wheel Poker at VideoPoker.com for fun, although a Gold level membership is required for that game.