Number Bonus is a video poker game that offers premium pays if a predetermined rank is pertinent part of certain hands. The only provider of this game, as far as I know, is Red Rake Gaming, a provider of software for Internet casinos.
Rules
The game plays like standard video poker, except as follows.
Every day there will be a Bonus Number, which can be anything from 2 to 10. This number will be disclosed to the player upon loading the game.
The lowest paying hand is for jacks or better or a pair of the rank of the Bonus Number.
The Bonus Double Pair is a two pair including a pair of the rank of the Bonus Number.
The Bonus Three of a Kind is a three of a kind of the rank of the Bonus Number.
The Bonus Flush is a flush including the rank of the Bonus Number.
The Bonus Full House includes the rank of the Bonus Number in either the pair or three of a kind.
The Bonus Four of a Kind is all four suits of the rank of the Bonus Number.
Please note that a singleton of the rank of the Bonus Number only helps improve the rank of the flush.
Bonus Number 2
Bonus Number 2
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
437,702,508
0.000022
0.013175
Straight flush
80
2,202,313,404
0.000110
0.008839
Bonus four of a kind
40
4,124,113,488
0.000207
0.008276
Four of a kind
20
39,526,088,136
0.001983
0.039658
Bonus full house
12
53,204,115,432
0.002669
0.032029
Full house
10
172,705,830,864
0.008664
0.086642
Bonus flush
6
106,565,595,192
0.005346
0.032077
Flush
5
132,753,224,616
0.006660
0.033299
Straight
4
214,551,649,512
0.010764
0.043054
Bonus three of a kind
5
143,611,593,528
0.007205
0.036023
Three of a kind
2
1,271,260,177,140
0.063776
0.127552
Two pair including Bonus Pair
3
677,132,041,104
0.033970
0.101910
Two pair
2
1,919,655,989,316
0.096304
0.192609
Pair jacks or better of Bonus Pair
1
4,933,455,828,408
0.247499
0.247499
Nothing
0
10,262,044,254,552
0.514821
0.000000
Total
19,933,230,517,200
1.000000
1.002643
Bonus Number 3
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
436,265,808
0.000022
0.013132
Straight flush
80
2,252,140,020
0.000113
0.009039
Bonus four of a kind
40
4,114,175,844
0.000206
0.008256
Four of a kind
20
39,523,503,492
0.001983
0.039656
Bonus full house
12
53,034,864,960
0.002661
0.031928
Full house
10
172,755,436,344
0.008667
0.086667
Bonus flush
6
107,609,349,912
0.005398
0.032391
Flush
5
132,391,036,140
0.006642
0.033209
Straight
4
217,770,985,548
0.010925
0.043700
Bonus three of a kind
5
143,144,865,300
0.007181
0.035906
Three of a kind
2
1,270,707,534,540
0.063748
0.127496
Two pair including Bonus Pair
3
674,785,107,144
0.033852
0.101557
Two pair
2
1,919,771,281,800
0.096310
0.192620
Pair jacks or better of Bonus Pair
1
4,934,629,515,528
0.247558
0.247558
Nothing
0
10,260,304,454,820
0.514734
0.000000
Total
19,933,230,517,200
1.000000
1.003114
Bonus Number 4
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
435,749,916
0.000022
0.013116
Straight flush
80
2,307,285,216
0.000116
0.009260
Bonus four of a kind
40
4,099,682,952
0.000206
0.008227
Four of a kind
20
39,521,914,728
0.001983
0.039654
Bonus full house
12
52,835,597,832
0.002651
0.031808
Full house
10
172,821,474,888
0.008670
0.086700
Bonus flush
6
108,637,732,740
0.005450
0.032700
Flush
5
132,221,366,148
0.006633
0.033166
Straight
4
221,031,645,876
0.011089
0.044354
Bonus three of a kind
5
142,401,163,548
0.007144
0.035720
Three of a kind
2
1,270,286,761,512
0.063727
0.127454
Two pair including Bonus Pair
3
671,689,293,840
0.033697
0.101091
Two pair
2
1,920,435,060,060
0.096343
0.192687
Pair jacks or better of Bonus Pair
1
4,935,888,338,436
0.247621
0.247621
Nothing
0
10,258,617,449,508
0.514649
0.000000
Total
19,933,230,517,200
1.000000
1.003559
Bonus Number 5
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
434,676,972
0.000022
0.013084
Straight flush
80
2,361,556,512
0.000118
0.009478
Bonus four of a kind
40
4,087,427,436
0.000205
0.008202
Four of a kind
20
39,519,652,068
0.001983
0.039652
Bonus full house
12
52,650,782,112
0.002641
0.031696
Full house
10
172,877,949,024
0.008673
0.086729
Bonus flush
6
109,659,011,244
0.005501
0.033008
Flush
5
131,973,008,652
0.006621
0.033104
Straight
4
224,167,709,172
0.011246
0.044984
Bonus three of a kind
5
141,791,093,136
0.007113
0.035567
Three of a kind
2
1,269,786,331,296
0.063702
0.127404
Two pair including Bonus Pair
3
668,945,869,416
0.033559
0.100678
Two pair
2
1,920,805,182,216
0.096362
0.192724
Pair jacks or better of Bonus Pair
1
4,936,685,046,048
0.247661
0.247661
Nothing
0
10,257,485,221,896
0.514592
0.000000
Total
19,933,230,517,200
1.000000
1.003970
Bonus Number 6
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
434,392,416
0.000022
0.013075
Straight flush
80
2,362,662,336
0.000119
0.009482
Bonus four of a kind
40
4,078,757,604
0.000205
0.008185
Four of a kind
20
39,507,780,972
0.001982
0.039640
Bonus full house
12
52,549,322,556
0.002636
0.031635
Full house
10
172,835,949,588
0.008671
0.086707
Bonus flush
6
113,189,380,332
0.005678
0.034071
Flush
5
132,550,710,876
0.006650
0.033249
Straight
4
223,483,091,232
0.011212
0.044846
Bonus three of a kind
5
141,272,315,172
0.007087
0.035436
Three of a kind
2
1,269,074,951,484
0.063666
0.127333
Two pair including Bonus Pair
3
667,540,443,384
0.033489
0.100466
Two pair
2
1,919,875,836,168
0.096315
0.192631
Pair jacks or better of Bonus Pair
1
4,923,433,843,956
0.246996
0.246996
Nothing
0
10,271,041,079,124
0.515272
0.000000
Total
19,933,230,517,200
1.000000
1.003753
Bonus Number 7
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
435,043,512
0.000022
0.013095
Straight flush
80
2,360,195,616
0.000118
0.009472
Bonus four of a kind
40
4,090,566,264
0.000205
0.008209
Four of a kind
20
39,517,372,896
0.001982
0.039650
Bonus full house
12
52,668,958,728
0.002642
0.031707
Full house
10
172,863,236,832
0.008672
0.086721
Bonus flush
6
109,643,443,524
0.005501
0.033003
Flush
5
131,981,923,608
0.006621
0.033106
Straight
4
224,288,317,848
0.011252
0.045008
Bonus three of a kind
5
141,967,317,456
0.007122
0.035611
Three of a kind
2
1,269,644,877,120
0.063695
0.127390
Two pair including Bonus Pair
3
669,366,300,024
0.033580
0.100741
Two pair
2
1,920,432,324,744
0.096343
0.192687
Pair jacks or better of Bonus Pair
1
4,935,583,927,332
0.247606
0.247606
Nothing
0
10,258,386,711,696
0.514637
0.000000
Total
19,933,230,517,200
1.000000
1.004005
Bonus Number 8
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
438,179,628
0.000022
0.013189
Straight flush
80
2,376,005,004
0.000119
0.009536
Bonus four of a kind
40
4,103,888,352
0.000206
0.008235
Four of a kind
20
39,551,806,092
0.001984
0.039684
Bonus full house
12
52,787,329,128
0.002648
0.031778
Full house
10
172,974,724,308
0.008678
0.086777
Bonus flush
6
105,931,687,740
0.005314
0.031886
Flush
5
131,473,316,628
0.006596
0.032978
Straight
4
224,768,855,640
0.011276
0.045104
Bonus three of a kind
5
142,772,527,200
0.007163
0.035813
Three of a kind
2
1,271,083,800,912
0.063767
0.127534
Two pair including Bonus Pair
3
671,292,736,488
0.033677
0.101031
Two pair
2
1,922,086,440,144
0.096426
0.192852
Pair jacks or better of Bonus Pair
1
4,947,013,305,144
0.248179
0.248179
Nothing
0
10,244,575,914,792
0.513945
0.000000
Total
19,933,230,517,200
1.000000
1.004579
Bonus Number 9
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
441,654,600
0.000022
0.013294
Straight flush
80
2,374,788,948
0.000119
0.009531
Bonus four of a kind
40
4,083,773,640
0.000205
0.008195
Four of a kind
20
39,595,445,760
0.001986
0.039728
Bonus full house
12
52,890,365,352
0.002653
0.031841
Full house
10
173,075,776,368
0.008683
0.086828
Bonus flush
6
100,979,683,956
0.005066
0.030395
Flush
5
130,224,824,136
0.006533
0.032665
Straight
4
228,066,620,580
0.011442
0.045766
Bonus three of a kind
5
142,193,442,828
0.007133
0.035667
Three of a kind
2
1,273,358,812,200
0.063881
0.127762
Two pair including Bonus Pair
3
672,655,795,992
0.033745
0.101236
Two pair
2
1,924,258,514,292
0.096535
0.193070
Pair jacks or better of Bonus Pair
1
4,972,964,455,332
0.249481
0.249481
Nothing
0
10,216,066,563,216
0.512514
0.000000
Total
19,933,230,517,200
1.000000
1.005461
Bonus Number 10
Hand
Payoff
Permutations
Probability
Return
Royal flush
600
475,610,700
0.000024
0.014316
Straight flush
80
2,279,289,192
0.000114
0.009148
Bonus four of a kind
40
4,027,338,204
0.000202
0.008082
Four of a kind
20
39,653,297,100
0.001989
0.039786
Bonus full house
12
52,938,047,256
0.002656
0.031869
Full house
10
173,157,535,200
0.008687
0.086869
Bonus flush
6
91,832,489,568
0.004607
0.027642
Flush
5
130,898,009,520
0.006567
0.032834
Straight
4
237,309,887,580
0.011905
0.047621
Bonus three of a kind
5
140,523,781,416
0.007050
0.035249
Three of a kind
2
1,275,918,398,100
0.064010
0.128019
Two pair including Bonus Pair
3
674,980,528,536
0.033862
0.101586
Two pair
2
1,924,510,105,548
0.096548
0.193096
Pair jacks or better of Bonus Pair
1
5,021,493,555,924
0.251916
0.251916
Nothing
0
10,163,232,643,356
0.509864
0.000000
Total
19,933,230,517,200
1.000000
1.008032
The following table summarizes the return by Bonus Number.
