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Wheel Poker

Introduction

Wheel Poker is a straightforward variation of video poker. Players can opt to play in three-play or five-play modes. By betting six coins per hand, players have a chance to spin the prize wheel when achieving four of a kind.

Rules

Let\"s look at some screenshots from VideoPoker.com To illustrate the gameplay, I was engaging with 5-play Bonus Poker and betting six coins per hand, totaling 30 coins.

In the previous image, I managed to draw four jacks in one of my hands. Before the game concluded its other hands, I had the opportunity to hit the 'spin' button to see my bonus for getting four of a kind.

After pressing the 'spin' button, the wheel landed on a bonus that awarded me 400 coins.

As the game proceeded with the remaining hands, I received a payout of 525 coins for my four jacks, since my total was 125 plus the 400 coins from the bonus.

Every game activates the prize wheel when a natural four of a kind is achieved. In games with deuces wild, the deuces do not count as wild for the bonus purpose. Thus, a natural four of a kind, a wild five of a kind with a single deuce, or simply four deuces are indicators to trigger the prize wheel.

Prize Wheel

Similar to other casino prize wheels, every segment on this wheel is assigned a 'weight.' In total, there are 154 weights combined. The programming behind these wheels selects a random integer from 1 to 154, associating it with a segment on the wheel, with the weights determining chances of landing on specific outcomes. This is an approach shared with single-line slot machine reels.

The table below outlines the weights, probabilities, and returns associated with each wheel segment. The average win displayed in the bottom right cell is approximately 427.92.

Wheel Poker Prize Wheel

Win Weight Probability Return
100 5 0.032468 3.246753
150 8 0.051948 7.792208
200 18 0.116883 23.376623
250 26 0.168831 42.207792
300 21 0.136364 40.909091
400 26 0.168831 67.532468
500 22 0.142857 71.428571
600 7 0.045455 27.272727
800 9 0.058442 46.753247
1000 9 0.058442 58.441558
2000 3 0.019481 38.961039
Total 154 1.000000 427.922078

Return Tables

The subsequent tables display expected returns based on various video poker games and pay tables. It's unclear if IGT, the developer of Wheel Poker, provides access to all these options. The 'pays' column sums up the win from the pay table (per coin wagered, based on a five-coin bet) and the average prize wheel bonus, divided by 5. The return is calculated as the probability multiplied by the win, adjusted by 5/6 to reflect the fact that the wins are based on a five-coin bet, even though players must bet six coins.

Wheel Poker — 8-5 Bonus Poker

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 496,856,976 0.000025 0.016617
STRAIGHT FLUSH 50.00 1,959,853,680 0.000098 0.004097
FOUR ACES 165.58 4,199,759,088 0.000211 0.029073
FOUR 2\"S, 3\"S, 4\"S 125.58 10,960,885,416 0.000550 0.057547
FOUR 5\"S THROUGH K\"S 110.58 32,967,003,156 0.001654 0.152410
FULL HOUSE 8.00 223,533,512,460 0.011214 0.074761
FLUSH 5.00 187,598,921,124 0.009411 0.039214
STRAIGHT 4.00 218,721,113,088 0.010973 0.036576
THREE OF A KIND 3.00 1,517,811,786,096 0.076145 0.190362
TWO PAIR 2.00 2,611,175,532,408 0.130996 0.218327
JACKS OR BETTER 1.00 4,232,732,552,424 0.212346 0.176955
NOTHING 0.00 10,891,072,741,284 0.546378 0.000000
TOTALS   19,933,230,517,200 1.000000 0.995938

Wheel Poker — 7/5 Bonus Poker

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 497,556,156 0.000025 0.016641
STRAIGHT FLUSH 50.00 1,971,881,640 0.000099 0.004122
FOUR ACES 165.58 4,198,476,828 0.000211 0.029064
FOUR 2\"S, 3\"S, 4\"S 125.58 10,928,197,848 0.000548 0.057375
FOUR 5\"S THROUGH K\"S 110.58 33,805,593,456 0.001696 0.156287
FULL HOUSE 7.00 204,733,959,588 0.010271 0.059914
FLUSH 5.00 190,178,598,624 0.009541 0.039753
STRAIGHT 4.00 219,027,973,644 0.010988 0.036627
THREE OF A KIND 3.00 1,533,930,493,476 0.076953 0.192384
TWO PAIR 2.00 2,608,854,215,076 0.130880 0.218133
JACKS OR BETTER 1.00 4,233,378,093,192 0.212378 0.176982
NOTHING 0.00 10,891,725,477,672 0.546410 0.000000
TOTALS   19,933,230,517,200 1.000000 0.987281

Wheel Poker — 6/5 Bonus Poker

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 496,351,296 0.000025 0.016600
STRAIGHT FLUSH 50.00 1,991,067,036 0.000100 0.004162
FOUR ACES 165.58 4,166,145,300 0.000209 0.028840
FOUR 2'S, 3'S, 4'S 125.58 10,926,311,868 0.000548 0.057365
FOUR 5'S THROUGH K'S 110.58 33,804,406,140 0.001696 0.156282
FULL HOUSE 6.00 204,617,051,532 0.010265 0.051326
FLUSH 5.00 190,345,248,048 0.009549 0.039788
STRAIGHT 4.00 219,578,078,148 0.011016 0.036719
THREE OF A KIND 3.00 1,532,667,307,932 0.076890 0.192225
TWO PAIR 2.00 2,607,401,376,828 0.130807 0.218011
JACKS OR BETTER 1.00 4,243,531,765,752 0.212887 0.177406
NOTHING 0.00 10,883,705,407,320 0.546008 0.000000
TOTALS   19,933,230,517,200 1.000000 0.978725

Wheel Poker — 8/6 Bonus Poker Deluxe

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 475,618,416 0.000024 0.015907
STRAIGHT FLUSH 50.00 2,179,759,980 0.000109 0.004556
FOUR OF A KIND 165.58 49,943,289,120 0.002506 0.345730
FULL HOUSE 8.00 164,986,181,856 0.008277 0.055180
FLUSH 6.00 224,321,616,864 0.011254 0.056268
STRAIGHT 4.00 231,255,273,732 0.011601 0.038672
THREE OF A KIND 3.00 1,573,495,087,596 0.078938 0.197346
TWO PAIR 1.00 2,195,349,742,980 0.110135 0.091779
JACKS OR BETTER 1.00 4,547,153,334,024 0.228119 0.190099
NOTHING 0.00 10,944,070,612,632 0.549036 0.000000
TOTALS   19,933,230,517,200 1.000000 0.995538

Wheel Poker — 8/5 Bonus Poker Deluxe

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 493,435,584 0.000025 0.016503
STRAIGHT FLUSH 50.00 2,088,737,268 0.000105 0.004366
FOUR OF A KIND 165.58 50,259,425,292 0.002521 0.347919
FULL HOUSE 8.00 166,154,940,684 0.008336 0.055571
FLUSH 5.00 192,589,267,188 0.009662 0.040257
STRAIGHT 4.00 237,144,692,508 0.011897 0.039657
THREE OF A KIND 3.00 1,586,267,078,580 0.079579 0.198948
TWO PAIR 1.00 2,212,800,728,580 0.111011 0.092509
JACKS OR BETTER 1.00 4,564,730,498,976 0.229001 0.190834
NOTHING 0.00 10,920,701,712,540 0.547864 0.000000
TOTALS   19,933,230,517,200 1.000000 0.986563

Wheel Poker — 9/7/5 Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 412,431,660 0.000021 0.013794
STRAIGHT FLUSH 50.00 2,166,438,036 0.000109 0.004529
FOUR ACES 245.58 4,589,894,304 0.000230 0.047124
FOUR 2'S, 3'S, 4'S 165.58 10,787,886,096 0.000541 0.074679
FOUR 5'S THROUGH K'S 135.58 34,212,408,372 0.001716 0.193925
FULL HOUSE 9.00 162,716,657,364 0.008163 0.061223
FLUSH 7.00 262,997,359,584 0.013194 0.076965
STRAIGHT 5.00 285,765,633,792 0.014336 0.059734
THREE OF A KIND 3.00 1,547,604,571,020 0.077639 0.194099
TWO PAIR 1.00 2,140,982,816,220 0.107408 0.089506
JACKS OR BETTER 1.00 4,295,266,714,152 0.215483 0.179569
NOTHING 0.00 11,185,727,706,600 0.561160 0.000000
TOTALS   19,933,230,517,200 1.000000 0.995146

Wheel Poker — 9/6/5 Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 472,141,872 0.000024 0.015791
STRAIGHT FLUSH 50.00 2,125,984,488 0.000107 0.004444
FOUR ACES 245.58 4,618,032,300 0.000232 0.047413
FOUR 2'S, 3'S, 4'S 165.58 10,795,848,492 0.000542 0.074734
FOUR 5'S THROUGH K'S 135.58 34,369,667,628 0.001724 0.194817
FULL HOUSE 9.00 163,936,422,756 0.008224 0.061682
FLUSH 6.00 221,112,633,000 0.011093 0.055463
STRAIGHT 5.00 292,246,668,600 0.014661 0.061089
THREE OF A KIND 3.00 1,558,300,246,668 0.078176 0.195440
TWO PAIR 1.00 2,160,308,106,396 0.108377 0.090314
JACKS OR BETTER 1.00 4,406,125,042,260 0.221044 0.184204
NOTHING 0.00 11,078,819,722,740 0.555796 0.000000
TOTALS   19,933,230,517,200 1.000000 0.985390

Wheel Poker — 9/7/4 Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 412,520,424 0.000021 0.013797
STRAIGHT FLUSH 50.00 2,147,777,472 0.000108 0.004490
FOUR ACES 245.58 4,657,365,948 0.000234 0.047817
FOUR 2'S, 3'S, 4'S 165.58 10,798,385,148 0.000542 0.074751
FOUR 5'S THROUGH K'S 135.58 34,273,091,520 0.001719 0.194269
FULL HOUSE 9.00 163,435,137,480 0.008199 0.061493
FLUSH 7.00 280,707,468,084 0.014082 0.082147
STRAIGHT 4.00 221,336,095,656 0.011104 0.037013
THREE OF A KIND 3.00 1,560,144,498,312 0.078269 0.195671
TWO PAIR 1.00 2,169,451,444,392 0.108836 0.090697
JACKS OR BETTER 1.00 4,361,842,018,908 0.218823 0.182352
NOTHING 0.00 11,124,024,713,856 0.558064 0.000000
TOTALS   19,933,230,517,200 1.000000 0.984498

Wheel Poker — 9/6/4 Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 477,823,800 0.000024 0.015981
STRAIGHT FLUSH 50.00 2,170,179,924 0.000109 0.004536
FOUR ACES 245.58 4,692,461,688 0.000235 0.048177
FOUR 2'S, 3'S, 4'S 165.58 10,809,460,056 0.000542 0.074828
FOUR 5'S THROUGH K'S 135.58 34,487,723,784 0.001730 0.195486
FULL HOUSE 9.00 165,135,059,208 0.008284 0.062133
FLUSH 6.00 224,684,350,416 0.011272 0.056359
STRAIGHT 4.00 227,737,827,636 0.011425 0.038083
THREE OF A KIND 3.00 1,575,227,285,664 0.079025 0.197563
TWO PAIR 1.00 2,197,486,814,256 0.110242 0.091869
JACKS OR BETTER 1.00 4,529,358,671,544 0.227227 0.189355
NOTHING 0.00 10,960,962,859,224 0.549884 0.000000
TOTALS   19,933,230,517,200 1.000000 0.974371

Wheel Poker — 9/6 Double Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 477,658,164 0.000024 0.015975
STRAIGHT FLUSH 50.00 2,158,437,828 0.000108 0.004512
FOUR ACES WITH ANY 2,3,4 485.58 1,234,469,832 0.000062 0.025060
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 245.58 2,928,392,724 0.000147 0.030066
FOUR ACES 245.58 3,481,422,384 0.000175 0.035744
FOUR 2'S, 3'S, 4'S 165.58 7,882,253,616 0.000395 0.054565
FOUR 5'S THROUGH K'S 135.58 34,480,069,956 0.001730 0.195442
FULL HOUSE 9.00 165,191,873,904 0.008287 0.062154
FLUSH 6.00 224,571,241,668 0.011266 0.056331
STRAIGHT 4.00 226,656,242,616 0.011371 0.037903
THREE OF A KIND 3.00 1,575,859,207,128 0.079057 0.197642
TWO PAIR 1.00 2,198,263,021,704 0.110281 0.091901
JACKS OR BETTER 1.00 4,526,270,967,276 0.227072 0.189226
NOTHING 0.00 10,963,775,258,400 0.550025 0.000000
TOTALS   19,933,230,517,200 1.000000 0.996521

Wheel Poker — 8/6/4 Double Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 477,646,812 0.000024 0.015975
STRAIGHT FLUSH 50.00 2,162,173,668 0.000108 0.004520
FOUR ACES WITH ANY 2,3,4 485.58 1,234,354,248 0.000062 0.025058
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 245.58 2,928,379,308 0.000147 0.030066
FOUR ACES 245.58 3,481,038,480 0.000175 0.035740
FOUR 2'S, 3'S, 4'S 165.58 7,882,253,616 0.000395 0.054565
FOUR 5'S THROUGH K'S 135.58 34,476,291,804 0.001730 0.195421
FULL HOUSE 8.00 165,155,297,760 0.008285 0.055236
FLUSH 6.00 224,646,356,820 0.011270 0.056350
STRAIGHT 4.00 228,980,540,880 0.011487 0.038291
THREE OF A KIND 3.00 1,575,309,543,288 0.079029 0.197573
TWO PAIR 1.00 2,196,897,239,880 0.110213 0.091844
JACKS OR BETTER 1.00 4,520,331,975,492 0.226774 0.188978
NOTHING 0.00 10,969,267,425,144 0.550301 0.000000
TOTALS   19,933,230,517,200 1.000000 0.989616

Wheel Poker — 9/5 Double Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 496,653,156 0.000025 0.016611
STRAIGHT FLUSH 50.00 1,998,649,656 0.000100 0.004178
FOUR ACES WITH ANY 2,3,4 485.58 1,239,733,548 0.000062 0.025167
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 245.58 2,967,541,644 0.000149 0.030468
FOUR ACES 245.58 3,497,855,436 0.000175 0.035912
FOUR 2'S, 3'S, 4'S 165.58 7,997,739,060 0.000401 0.055364
FOUR 5'S THROUGH K'S 135.58 34,565,941,644 0.001734 0.195929
FULL HOUSE 9.00 166,206,146,724 0.008338 0.062536
FLUSH 5.00 199,842,965,928 0.010026 0.041773
STRAIGHT 4.00 226,655,274,084 0.011371 0.037902
THREE OF A KIND 3.00 1,586,910,350,748 0.079611 0.199028
TWO PAIR 1.00 2,214,111,066,444 0.111076 0.092564
JACKS OR BETTER 1.00 4,548,361,445,856 0.228180 0.190150
NOTHING 0.00 10,938,379,153,272 0.548751 0.000000
TOTALS   19,933,230,517,200 1.000000 0.987582

Wheel Poker — 8/5 Double Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 496,463,760 0.000025 0.016604
STRAIGHT FLUSH 50.00 2,017,005,420 0.000101 0.004216
FOUR ACES WITH ANY 2,3,4 485.58 1,238,524,776 0.000062 0.025143
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 245.58 2,967,162,516 0.000149 0.030464
FOUR ACES 245.58 3,493,922,784 0.000175 0.035872
FOUR 2'S, 3'S, 4'S 165.58 7,996,939,128 0.000401 0.055359
FOUR 5'S THROUGH K'S 135.58 34,554,699,552 0.001734 0.195866
FULL HOUSE 8.00 166,091,471,460 0.008332 0.055549
FLUSH 5.00 200,419,006,020 0.010055 0.041894
STRAIGHT 4.00 232,318,510,452 0.011655 0.038849
THREE OF A KIND 3.00 1,585,342,714,824 0.079533 0.198832
TWO PAIR 1.00 2,210,567,288,688 0.110899 0.092415
JACKS OR BETTER 1.00 4,534,571,020,968 0.227488 0.189573
NOTHING 0.00 10,951,155,786,852 0.549392 0.000000
TOTALS   19,933,230,517,200 1.000000 0.980636

Wheel Poker — 9/7 Triple Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 404,353,272 0.000020 0.013524
STRAIGHT FLUSH 50.00 2,169,539,040 0.000109 0.004535
FOUR ACES WITH ANY 2,3,4 885.58 1,403,350,536 0.000070 0.051956
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 485.58 3,439,365,996 0.000173 0.069821
FOUR ACES 245.58 2,955,733,356 0.000148 0.030346
FOUR 2'S, 3'S, 4'S 165.58 6,377,013,876 0.000320 0.044145
FOUR 5'S THROUGH K'S 135.58 32,326,387,608 0.001622 0.183235
FULL HOUSE 9.00 208,879,304,364 0.010479 0.078592
FLUSH 7.00 289,155,149,328 0.014506 0.084619
STRAIGHT 4.00 237,549,522,168 0.011917 0.039724
THREE OF A KIND 2.00 1,495,466,096,028 0.075024 0.125040
TWO PAIR 1.00 2,429,093,207,484 0.121861 0.101551
JACKS OR BETTER 1.00 4,027,040,542,764 0.202026 0.168355
NOTHING 0.00 11,196,970,951,380 0.561724 0.000000
TOTALS   19,933,230,517,200 1.000000 0.995443

Wheel Poker — 9/6 Triple Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 473,880,792 0.000024 0.015849
STRAIGHT FLUSH 50.00 2,137,044,432 0.000107 0.004467
FOUR ACES WITH ANY 2,3,4 885.58 1,405,319,856 0.000071 0.052029
FOUR 2'S, 3'S, 4'S WITH ANY A,2,3,4 485.58 3,449,191,632 0.000173 0.070020
FOUR ACES 245.58 2,981,934,540 0.000150 0.030615
FOUR 2\"S, 3\"S, 4\"S 165.58 6,410,490,444 0.000322 0.044376
FOUR 5\"S THROUGH K\"S 135.58 32,569,439,088 0.001634 0.184613
FULL HOUSE 9.00 210,900,877,416 0.010580 0.079353
FLUSH 6.00 222,043,448,496 0.011139 0.055697
STRAIGHT 4.00 250,520,295,576 0.012568 0.041893
THREE OF A KIND 2.00 1,512,943,558,224 0.075901 0.126501
TWO PAIR 1.00 2,460,766,997,664 0.123450 0.102875
JACKS OR BETTER 1.00 4,221,181,311,948 0.211766 0.176472
NOTHING 0.00 11,005,446,727,092 0.552116 0.000000
TOTALS   19,933,230,517,200 1.000000 0.984760

Wheel Poker — 9/5 Triple Double Bonus

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 492,858,240 0.000025 0.016484
STRAIGHT FLUSH 50.00 2,016,939,756 0.000101 0.004216
FOUR ACES WITH ANY 2,3,4 885.58 1,410,702,252 0.000071 0.052228
FOUR 2\"S, 3\"S, 4\"S WITH ANY A,2,3,4 485.58 3,479,566,488 0.000175 0.070637
FOUR ACES 245.58 2,997,340,236 0.000150 0.030774
FOUR 2\"S, 3\"S, 4\"S 165.58 6,500,249,676 0.000326 0.044998
FOUR 5\"S THROUGH K\"S 135.58 32,576,475,264 0.001634 0.184652
FULL HOUSE 9.00 211,442,867,820 0.010608 0.079557
FLUSH 5.00 204,095,151,144 0.010239 0.042662
STRAIGHT 4.00 255,474,217,044 0.012816 0.042722
THREE OF A KIND 2.00 1,518,550,580,376 0.076182 0.126970
TWO PAIR 1.00 2,467,822,812,624 0.123804 0.103170
JACKS OR BETTER 1.00 4,231,618,409,376 0.212290 0.176908
NOTHING 0.00 10,994,752,346,904 0.551579 0.000000
TOTALS   19,933,230,517,200 1.000000 0.975977

Wheel Poker — 25-16-10 Deuces Wild

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 456,485,484 0.000023 0.015267
FOUR DEUCES 285.58 3,984,953,448 0.000200 0.047577
WILD ROYAL FLUSH 25.00 38,516,948,880 0.001932 0.040256
FIVE OF A KIND WITH ONE DEUCE 101.58 6,909,955,872 0.000347 0.029346
FIVE OF A KIND 16.00 55,363,431,600 0.002777 0.037033
STRAIGHT FLUSH 10.00 92,291,298,768 0.004630 0.038584
NATURAL FOUR OF A KIND 89.58 34,273,754,400 0.001719 0.128362
WILD FOUR OF A KIND 4.00 1,246,199,978,496 0.062519 0.208396
FULL HOUSE 4.00 400,265,556,696 0.020080 0.066934
FLUSH 3.00 367,304,070,996 0.018427 0.046067
STRAIGHT 2.00 1,059,520,664,628 0.053153 0.088589
THREE OF A KIND 1.00 5,691,601,591,440 0.285533 0.237944
NOTHING 0.00 10,936,541,826,492 0.548659 0.000000
TOTALS   19,933,230,517,200 1.000000 0.984354

Wheel Poker — 25-15-9 Deuces Wild

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 456,720,672 0.000023 0.015275
FOUR DEUCES 285.58 4,018,106,964 0.000202 0.047973
WILD ROYAL FLUSH 25.00 38,694,467,808 0.001941 0.040442
FIVE OF A KIND WITH ONE DEUCE 100.58 6,912,716,784 0.000347 0.029068
FIVE OF A KIND 15.00 55,535,292,432 0.002786 0.034826
STRAIGHT FLUSH 9.00 89,722,855,476 0.004501 0.033759
NATURAL FOUR OF A KIND 89.58 34,264,097,148 0.001719 0.128325
WILD FOUR OF A KIND 4.00 1,249,372,538,208 0.062678 0.208926
FULL HOUSE 4.00 400,069,068,624 0.020070 0.066902
FLUSH 3.00 363,573,573,876 0.018240 0.045599
STRAIGHT 2.00 1,063,525,651,524 0.053354 0.088924
THREE OF A KIND 1.00 5,690,637,621,132 0.285485 0.237904
NOTHING 0.00 10,936,447,806,552 0.548654 0.000000
TOTALS   19,933,230,517,200 1.000000 0.977923

Wheel Poker — 20-12-10 Deuces Wild

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 446,997,732 0.000022 0.014950
FOUR DEUCES 285.58 3,934,734,780 0.000197 0.046978
WILD ROYAL FLUSH 20.00 34,399,824,096 0.001726 0.028763
FIVE OF A KIND WITH ONE DEUCE 97.58 6,893,726,496 0.000346 0.028124
FIVE OF A KIND 12.00 55,085,666,904 0.002764 0.027635
STRAIGHT FLUSH 10.00 101,285,637,840 0.005081 0.042344
NATURAL FOUR OF A KIND 89.58 34,251,101,628 0.001718 0.128277
WILD FOUR OF A KIND 4.00 1,242,816,080,976 0.062349 0.207830
FULL HOUSE 4.00 398,387,843,136 0.019986 0.066620
FLUSH 3.00 368,281,058,508 0.018476 0.046189
STRAIGHT 2.00 1,098,079,677,348 0.055088 0.091813
THREE OF A KIND 1.00 5,661,840,350,856 0.284040 0.236700
NOTHING 0.00 10,927,527,816,900 0.548207 0.000000
TOTALS   19,933,230,517,200 1.000000 0.966222

Wheel Poker — 25-16-13 Deuces Wild

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 442,622,820 0.000022 0.014804
FOUR DEUCES 285.58 3,893,607,000 0.000195 0.046487
WILD ROYAL FLUSH 25.00 34,800,192,072 0.001746 0.036372
FIVE OF A KIND WITH ONE DEUCE 101.58 6,891,192,336 0.000346 0.029266
FIVE OF A KIND 16.00 54,807,812,784 0.002750 0.036661
STRAIGHT FLUSH 13.00 108,516,776,460 0.005444 0.058977
NATURAL FOUR OF A KIND 89.58 34,231,348,200 0.001717 0.128203
WILD FOUR OF A KIND 4.00 1,238,104,780,512 0.062113 0.207042
FULL HOUSE 3.00 397,818,330,480 0.019958 0.049894
FLUSH 2.00 336,239,550,360 0.016868 0.028114
STRAIGHT 2.00 1,115,432,701,440 0.055958 0.093264
THREE OF A KIND 1.00 5,651,411,640,000 0.283517 0.236264
NOTHING 0.00 10,950,639,962,736 0.549366 0.000000
TOTALS   19,933,230,517,200 1.000000 0.965346

Wheel Poker — 9-4-4-3 Bonus Deuces

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 463,040,688 0.000023 0.015486
FOUR DEUCES WITH AN ACE 485.58 528,524,520 0.000027 0.010729
FOUR DEUCES 285.58 3,298,452,432 0.000165 0.039381
WILD ROYAL FLUSH 25.00 41,200,831,944 0.002067 0.043061
FIVE ACES WITH ONE DEUCE 165.58 591,058,236 0.000030 0.004092
FIVE 3'S, 4'S, 5'S WITH ONE DEUCE 125.58 1,775,661,396 0.000089 0.009323
FIVE 6'S THRU K'S WITH ONE DEUCE 105.58 4,591,724,448 0.000230 0.020268
FIVE ACES 80.00 5,957,313,984 0.000299 0.019924
FIVE 3'S, 4'S, 5'S 40.00 14,501,295,648 0.000727 0.024250
FIVE 6'S THRU K'S 20.00 38,170,310,616 0.001915 0.031915
STRAIGHT FLUSH 9.00 78,646,870,896 0.003946 0.029591
NATURAL FOUR OF A KIND 89.58 34,397,898,120 0.001726 0.128827
WILD FOUR OF A KIND 4.00 1,278,482,410,992 0.064138 0.213794
FULL HOUSE 4.00 405,422,335,224 0.020339 0.067797
FLUSH 3.00 364,442,991,600 0.018283 0.045708
STRAIGHT 1.00 811,241,613,672 0.040698 0.033915
THREE OF A KIND 1.00 5,875,097,042,772 0.294739 0.245616
NOTHING 0.00 10,974,421,140,012 0.550559 0.000000
TOTALS   19,933,230,517,200 1.000000 0.983677

Wheel Poker — 8-4-4-3 Bonus Deuces

Hand Pays Combinations Probability Return
ROYAL FLUSH 800.00 463,158,432 0.000023 0.015490
FOUR DEUCES WITH AN ACE 485.58 545,742,804 0.000027 0.011079
FOUR DEUCES 285.58 3,239,084,688 0.000162 0.038672
WILD ROYAL FLUSH 25.00 41,368,306,824 0.002075 0.043236
FIVE ACES WITH ONE DEUCE 165.58 591,062,076 0.000030 0.004092
FIVE 3'S, 4'S, 5'S WITH ONE DEUCE 125.58 1,775,718,996 0.000089 0.009323
FIVE 6'S THRU K'S WITH ONE DEUCE 105.58 4,596,926,448 0.000231 0.020291
FIVE ACES 80.00 6,140,746,440 0.000308 0.020538
FIVE ACES 40.00 14,441,076,144 0.000724 0.024149
FIVE OF A KIND WITH ONE DEUCE 20.00 38,054,637,864 0.001909 0.031818
FIVE OF A KIND 8.00 77,285,505,816 0.003877 0.025848
STRAIGHT FLUSH 89.58 34,402,718,868 0.001726 0.128845
NATURAL FOUR OF A KIND 4.00 1,279,417,622,208 0.064185 0.213951
WILD FOUR OF A KIND 4.00 405,842,654,520 0.020360 0.067867
FULL HOUSE 3.00 362,364,884,232 0.018179 0.045447
FLUSH 1.00 809,143,170,864 0.040593 0.033827
STRAIGHT 1.00 5,882,869,822,836 0.295129 0.245941
THREE OF A KIND 0.00 10,970,687,677,140 0.550372 0.000000
NOTHING   19,933,230,517,200 1.000000 0.980414

TOTALS

Wheel Poker — 9-4-4-3 Bonus Deuces Hand Pays Combinations Probability
Return 800.00 463,345,188 0.000023 0.015497
ROYAL FLUSH 485.58 453,609,084 0.000023 0.009208
FOUR DEUCES WITH AN ACE 285.58 3,436,526,268 0.000172 0.041029
FOUR DEUCES 25.00 39,126,101,352 0.001963 0.040893
WILD ROYAL FLUSH 165.58 589,679,820 0.000030 0.004082
FIVE ACES WITH ONE DEUCE 125.58 1,768,357,428 0.000089 0.009284
FIVE 3'S, 4'S, 5'S WITH ONE DEUCE 105.58 4,554,960,432 0.000229 0.020106
FIVE 6'S THRU K'S WITH ONE DEUCE 80.00 5,188,848,696 0.000260 0.017354
FIVE ACES 40.00 14,522,964,336 0.000729 0.024286
FIVE 3'S, 4'S, 5'S 20.00 37,003,610,736 0.001856 0.030940
FIVE 6'S THRU K'S 13.00 97,210,256,436 0.004877 0.052832
STRAIGHT FLUSH 89.58 34,397,343,120 0.001726 0.128824
NATURAL FOUR OF A KIND 4.00 1,260,232,768,080 0.063223 0.210742
WILD FOUR OF A KIND 3.00 403,503,519,744 0.020243 0.050607
FULL HOUSE 3.00 379,674,536,184 0.019047 0.047618
FLUSH 1.00 824,547,863,736 0.041365 0.034471
STRAIGHT 1.00 5,826,406,511,508 0.292296 0.243580
THREE OF A KIND 0.00 11,000,149,715,052 0.551850 0.000000
NOTHING   19,933,230,517,200 1.000000 0.981355

TOTALS

Wheel Poker — 8-4-4-3 Bonus Deuces Hand Pays Combinations Probability
Return 800.00 463,356,300 0.000023 0.015497
ROYAL FLUSH 485.58 453,011,076 0.000023 0.009307
FOUR DEUCES WITH AN ACE 285.58 3,432,328,572 0.000172 0.040934
FOUR DEUCES 25.00 39,713,850,072 0.001992 0.041500
WILD ROYAL FLUSH 165.58 590,211,852 0.000030 0.004140
FIVE ACES WITH ONE DEUCE 125.58 1,769,654,724 0.000089 0.009314
FIVE 3'S, 4'S, 5'S WITH ONE DEUCE 105.58 4,558,015,296 0.000229 0.020149
FIVE 6'S THRU K'S WITH ONE DEUCE 80.00 5,202,932,832 0.000261 0.017400
FIVE ACES 40.00 14,564,737,368 0.000731 0.024367
FIVE ACES 20.00 38,215,830,240 0.001917 0.031950
FIVE OF A KIND WITH ONE DEUCE 12.00 93,552,779,472 0.004693 0.046930
FIVE OF A KIND 89.58 34,397,333,064 0.001726 0.128852
STRAIGHT FLUSH 4.00 1,264,364,771,184 0.063430 0.211433
NATURAL FOUR OF A KIND 3.00 403,596,694,944 0.020247 0.050618
WILD FOUR OF A KIND 3.00 375,633,027,204 0.018845 0.047113
FULL HOUSE 1.00 815,021,073,684 0.040888 0.034073
FLUSH 1.00 5,836,599,262,260 0.292807 0.244006
STRAIGHT 0.00 11,001,101,647,056 0.551898 0.000000
THREE OF A KIND   19,933,230,517,200 1.000001 0.977582

NOTHING

The following table summarizes returns for both 5-coin and 6-coin bets across all games mentioned. The column on the right identifies the optimal number of coins to wager for maximizing returns. Generally, players are advised to place the sixth bet, but there are exceptions for certain deuces wild games.

TOTALS

Wheel Poker — 9-4-4-3 Bonus Deuces Hand Pays Combinations
Probability 0.988487 0.995938 6
Return 0.974644 0.987281 6
ROYAL FLUSH 0.964528 0.978725 6
FOUR DEUCES WITH AN ACE 0.980211 0.995538 6
FOUR DEUCES 0.968084 0.986563 6
WILD ROYAL FLUSH 0.981257 0.995146 6
FIVE ACES WITH ONE DEUCE 0.968720 0.985390 6
FIVE 3'S, 4'S, 5'S WITH ONE DEUCE 0.967884 0.984498 6
FIVE 6'S THRU K'S WITH ONE DEUCE 0.954612 0.974371 6
FIVE ACES 0.981120 0.996521 6
FIVE 3'S, 4'S, 5'S 0.972851 0.989616 6
FIVE 6'S THRU K'S 0.969267 0.987582 6
STRAIGHT FLUSH 0.961006 0.980636 6
NATURAL FOUR OF A KIND 0.994874 0.995443 6
WILD FOUR OF A KIND 0.980704 0.984760 6
FULL HOUSE 0.969529 0.975977 6
FLUSH 0.987291 0.984354 5
STRAIGHT 0.979461 0.977923 5
THREE OF A KIND 0.965915 0.966222 6
NOTHING 0.965136 0.965346 6
TOTALS 0.986415 0.983677 5
Wheel Poker — 8-4-4-3 Bonus Deuces 0.982638 0.980414 5
Hand 0.983555 0.981355 5
Pays 0.978793 0.977386 5

Combinations

The inclusion of the Prize Wheel significantly raises the standard deviation. For instance, a typical 5-coin 8/5 Bonus Poker game shows a standard deviation of 4.57, whereas with the additional sixth coin bet, it increases to 7.84, measured in units of a five-coin wager. This indicates that a 20% increase in betting leads to a 72% rise in volatility.

Probability

Return ROYAL FLUSH

FOUR DEUCES WITH AN ACE

I extend my gratitude to J.B. for helping gather insights about this game.

FOUR DEUCES

WILD ROYAL FLUSH

FLUSH

TOTALS

Hand

Return

ROYAL FLUSH

FIVE ACES

FULL HOUSE

Wheel Poker — 12-4-3-3 Bonus Deuces

Return ROYAL FLUSH