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Royal Bonus Poker

Introduction

Royal Bonus Poker plays like conventional multi-play video poker, except the player may bet up to ten coins per play. If the player bets the full ten coins per play, a royal flush will pay 10,000. This equates to 1,000 per credit bet, which is 200 more than the usual 800.

 

The image above is taken with permission from VideoPoker.com

The increase in return, compared to the same pay table paying 800 for a royal, ranges from 0.48% to 0.54%, depending on the game. It tends to be about 0.52% for all games except deuces wild variants, in which case it is a little less at about 0.48%.

The following tables show my analysis for those pay tables available at VideoPoker.com. For other pay tables, I would look up the return for standard video poker and add 0.52%.

Jacks or Better

Jacks or Better — 9/5

Event Pays Combinations Probability Return
Royal Flush 1000 43,357,335 0.000026 0.026102
Straight Flush 50 179,605,670 0.000108 0.005406
Four of a Kind 25 3,920,364,352 0.002360 0.059002
Full House 9 19,110,318,108 0.011505 0.103541
Flush 5 18,186,189,805 0.010948 0.054741
Straight 4 18,697,212,835 0.011256 0.045024
Three of a Kind 3 123,527,806,003 0.074365 0.223095
Two Pair 2 214,596,539,577 0.129189 0.258378
Jacks or Better 1 355,955,711,694 0.214289 0.214289
All Other 0 906,885,437,721 0.545954 0.000000
Totals   1,661,102,543,100 1.000000 0.989579

Bonus Poker

Bonus Poker — 8/5

Event Pays Combinations Probability Return
Royal Flush 1000 44,791,428 0.000027 0.026965
Straight Flush 50 179,494,687 0.000108 0.005403
Four Aces 80 325,177,911 0.000196 0.015661
Four 2s, 3s, 4s 40 875,789,127 0.000527 0.021089
Four 5s thru Ks 25 2,715,025,246 0.001634 0.040862
Full House 8 19,094,176,596 0.011495 0.091959
Flush 5 18,225,251,435 0.010972 0.054859
Straight 4 18,717,838,989 0.011268 0.045073
Three of a Kind 3 123,356,205,817 0.074262 0.222785
Two Pair 2 214,370,295,507 0.129053 0.258106
Jacks or Better 1 355,459,383,033 0.213990 0.213990
All Other 0 907,739,113,324 0.546468 0.000000
Totals   1,661,102,543,100 1.000000 0.996752

Bonus Poker Deluxe

Bonus Poker Deluxe — 9/5

Event Pays Combinations Probability Return
Royal Flush 1000 42,991,255 0.000026 0.025881
Straight Flush 50 181,614,713 0.000109 0.005467
Four of a Kind 80 3,914,625,529 0.002357 0.188531
Full House 9 19,067,874,921 0.011479 0.103311
Flush 5 18,176,744,082 0.010943 0.054713
Straight 4 21,382,709,536 0.012873 0.051490
Three of a Kind 3 122,892,309,298 0.073982 0.221947
Two Pair 1 213,068,811,780 0.128270 0.128270
Jacks or Better 1 350,349,494,031 0.210914 0.210914
All Other 0 912,025,367,955 0.549048 0.000000
Totals   1,661,102,543,100 1.000000 0.990524

Double Bonus

Double Bonus — 9-7-5

Event Pays Combinations Probability Return
Royal Flush 1000 44,480,712 0.000027 0.026778
Straight Flush 50 191,587,374 0.000115 0.005767
Four Aces 160 363,118,144 0.000219 0.034976
Four 2s, 3s, 4s 80 870,475,101 0.000524 0.041923
Four 5s thru Ks 50 2,656,858,544 0.001599 0.079973
Full House 9 17,621,877,009 0.010609 0.095477
Flush 7 24,135,642,189 0.014530 0.101709
Straight 5 25,144,393,354 0.015137 0.075686
Three of a Kind 3 120,840,639,222 0.072747 0.218242
Two Pair 1 197,322,928,128 0.118790 0.118790
Jacks or Better 1 326,360,437,563 0.196472 0.196472
All Other 0 945,550,105,760 0.569230 0.000000
Totals   1,661,102,543,100 1.000000 0.995793

Triple Double Bonus

Triple Double Bonus — 9-6

Event Pays Combinations Probability Return
Royal Flush 1000 46,855,020 0.000028 0.028207
Straight Flush 50 184,748,467 0.000111 0.005561
Four Aces with any 2,3,4 400 102,255,896 0.000062 0.024624
Four 2s, 3s, 4s with any A,2,3,4 160 237,854,238 0.000143 0.022910
Four Aces 160 288,246,927 0.000174 0.027764
Four 2s, 3s, 4s 80 638,537,018 0.000384 0.030752
Four 5s thru Ks 50 2,697,444,868 0.001624 0.081194
Full House 9 18,004,173,171 0.010839 0.097548
Flush 6 18,636,796,868 0.011220 0.067317
Straight 4 21,218,949,669 0.012774 0.051096
Three of a Kind 3 124,664,452,259 0.075049 0.225148
Two Pair 1 204,043,992,291 0.122836 0.122836
Jacks or Better 1 349,197,738,300 0.210220 0.210220
All Other 0 921,140,498,108 0.554536 0.000000
Totals   1,661,102,543,100 1.000000 0.995180

Triple Double Bonus

Triple Double Bonus — 9-6

Event Pays Combinations Probability Return
Royal Flush 1000 46,699,564 0.000028 0.028114
Straight Flush 50 185,500,238 0.000112 0.005584
Four Aces with any 2,3,4 800 116,926,571 0.000070 0.056313
Four 2s, 3s, 4s with any A,2,3,4 400 286,609,619 0.000173 0.069017
Four Aces 160 247,719,148 0.000149 0.023861
Four 2s, 3s, 4s 80 531,468,305 0.000320 0.025596
Four 5s thru Ks 50 2,670,108,650 0.001607 0.080372
Full House 9 17,367,523,245 0.010455 0.094099
Flush 6 20,483,194,023 0.012331 0.073987
Straight 4 22,104,577,034 0.013307 0.053229
Three of a Kind 2 123,986,114,799 0.074641 0.149282
Two Pair 1 201,989,505,555 0.121600 0.121600
Jacks or Better 1 342,154,874,736 0.205981 0.205981
All Other 0 928,931,721,613 0.559226 0.000000
Totals   1,661,102,543,100 1.000000 0.987031

Deuces Wild

Deuces Wild — 25-15-9-4-4

Event Pays Combinations Probability Return
Natural Royal Flush 1000 40,268,563 0.000024 0.024242
Four Deuces 200 309,979,561 0.000187 0.037322
Wild Royal Flush 25 3,230,075,744 0.001945 0.048613
Five of a Kind 15 5,180,633,134 0.003119 0.046782
Straight Flush 9 8,140,717,368 0.004901 0.044107
Four of a Kind 4 101,649,745,055 0.061194 0.244777
Full House 4 43,482,594,746 0.026177 0.104708
Flush 3 34,345,105,305 0.020676 0.062028
Straight 2 94,461,577,973 0.056867 0.113734
Three of a Kind 1 444,368,345,652 0.267514 0.267514
All Other 0 925,893,499,999 0.557397 0.000000
Totals   1,661,102,543,100 1.000000 0.993827

Deuces Wild Bonus

Deuces Wild Bonus — 13-4-3-3

Event Pays Combinations Probability Return
Natural Royal Flush 1000 41,317,503 0.000025 0.024874
Four Deuces with an Ace 400 43,057,359 0.000026 0.010368
Four Deuces 200 235,762,381 0.000142 0.028386
Wild Royal Flush 25 3,420,237,130 0.002059 0.051475
Five Aces 80 549,841,831 0.000331 0.026481
Five 3s, 4s, 5s 40 1,289,932,637 0.000777 0.031062
Five 6s thru Ks 20 3,382,363,902 0.002036 0.040724
Straight Flush 13 8,959,260,419 0.005394 0.070116
Four of a Kind 4 104,572,980,232 0.062954 0.251816
Full House 3 35,046,018,062 0.021098 0.063294
Flush 3 36,765,912,406 0.022133 0.066400
Straight 1 69,355,013,898 0.041752 0.041752
Three of a Kind 1 475,377,558,921 0.286182 0.286182
All Other 0 922,063,286,419 0.555091 0.000000
Totals   1,661,102,543,100 1.000000 0.992932

Super Double Bonus

Super Double Bonus — 8-5

Event Pays Combinations Probability Return
Royal Flush 1000 42,502,990 0.000026 0.025587
Straight Flush 80 189,369,849 0.000114 0.009120
Four Aces 160 368,490,607 0.000222 0.035494
Four Js, Qs, Ks 120 1,076,886,797 0.000648 0.077796
Four 2s, 3s, 4s 80 875,235,158 0.000527 0.042152
Four 5s thru 10s 50 1,743,698,160 0.001050 0.052486
Full House 8 15,200,681,574 0.009151 0.073208
Flush 5 18,289,302,086 0.011010 0.055052
Straight 4 21,301,999,009 0.012824 0.051296
Three of a Kind 3 128,412,472,697 0.077306 0.231917
Two Pair 1 181,050,668,511 0.108994 0.108994
Jacks or Better 1 379,959,383,514 0.228739 0.228739
All Other 0 912,591,852,148 0.549389 0.000000
Totals   1,661,102,543,100 1.000000 0.991840

Triple Triple Bonus

Triple Triple Bonus — 9-5

Event Pays Combinations Probability Return
Royal Flush 1000 47,223,336 0.000028 0.028429
Straight Flush 50 179,614,614 0.000108 0.005406
Four Aces with any 2,3,4 800 117,986,943 0.000071 0.056823
Four 2s, 3s, 4s with an Ace 800 130,316,259 0.000078 0.062761
Four 2s, 3s, 4s with any 2,3,4 400 169,785,028 0.000102 0.040885
Four Aces 160 251,281,491 0.000151 0.024204
Four 2s, 3s, 4s 80 454,254,464 0.000273 0.021877
Four 5s thru Ks 50 2,702,414,163 0.001627 0.081344
Full House 9 17,525,600,580 0.010551 0.094955
Flush 5 17,771,416,965 0.010699 0.053493
Straight 3 17,620,136,322 0.010607 0.031822
Three of a Kind 2 125,116,546,353 0.075321 0.150643
Two Pair 1 207,149,200,587 0.124706 0.124706
Jacks or Better 1 355,906,049,403 0.214259 0.214259
All Other 0 915,960,716,592 0.551417 0.000000
Totals   1,661,102,543,100 1.000000 0.991608

Super Double Double Bonus

Super Double Double Bonus — 7-5

Event Pays Combinations Probability Return
Royal Flush 1000 45,182,234 0.000027 0.027200
Straight Flush 50 175,773,292 0.000106 0.005291
Four Aces with any 2,3,4 400 100,204,108 0.000060 0.024130
Four Aces with any J,Q,K 320 105,304,933 0.000063 0.020286
Four 2s, 3s, 4s with any A,2,3,4 160 243,705,764 0.000147 0.023474
Four Js, Qs, Ks with any J,Q,K,A 160 320,304,497 0.000193 0.030852
Four Aces 160 184,728,472 0.000111 0.017793
Four 2s, 3s, 4s 80 656,195,570 0.000395 0.031603
Four 5s thru Ks 50 2,304,104,957 0.001387 0.069355
Full House 7 17,507,651,397 0.010540 0.073778
Flush 5 18,301,914,459 0.011018 0.055090
Straight 4 20,964,274,558 0.012621 0.050483
Three of a Kind 3 125,467,188,815 0.075532 0.226597
Two Pair 1 204,305,601,195 0.122994 0.122994
Jacks or Better 1 352,657,370,079 0.212303 0.212303
All Other 0 917,763,038,770 0.552502 0.000000
Totals   1,661,102,543,100 1.000000 0.991230

Joker Poker

Joker Poker (Kings or Better) — 17-7-5

Event Pays Combinations Probability Return
Natural Royal Flush 1000 53,360,535 0.000026 0.026063
Five of a Kind 200 190,121,385 0.000093 0.018572
Wild Royal Flush 100 219,754,959 0.000107 0.010733
Straight Flush 50 1,215,932,377 0.000594 0.029694
Four of a Kind 17 17,396,286,750 0.008497 0.144445
Full House 7 31,947,736,905 0.015604 0.109228
Flush 5 32,706,673,579 0.015975 0.079873
Straight 3 34,553,340,778 0.016877 0.050630
Three of a Kind 2 272,559,510,315 0.133124 0.266249
Two Pair 1 226,202,937,120 0.110483 0.110483
Kings or Better 1 286,670,873,923 0.140017 0.140017
All Other 0 1,143,688,931,474 0.558604 0.000000
Totals   2,047,405,460,100 1.000000 0.985987

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Written by: Michael Shackleford