Quick Quads is a video poker game that I first noticed at the Red Rock in September, 2008. For the first five coins bet per hand, the game plays like ordinary multi-play video poker. For an optional sixth coin bet, the player qualifies to add two cards together to complete a four of a kind. For example, if the player had 99936, then he can add the 3 and 6, to make a fourth nine. A full house like 66633 will pay as a four of a kind too. Only four of a kinds of 2 to 10 qualify as Quick Quads, and aces count as one point. The game sometimes bumps up some of the four of a kind wins too, for a sixth coin bet. With the sixth coin bet, the player will get about 2.7 times as many four of a kinds.
The following return tables are for those games and pay tables that I am aware of. The return column is the product of the win, probability, and 5/6.
Jacks or Better
Quick Quads — "9/6" Jacks or Better — 47.2-9-6
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
500,982,576
0.000025
0.016755
Straight flush
50
2,193,908,496
0.000110
0.004586
Four of a kind -- quick quads
47.2
81,308,187,804
0.004079
0.160442
Four of a kind -- natural
47.2
40,682,929,692
0.002041
0.080278
Full house
9
216,065,326,356
0.010839
0.081296
Flush
6
221,176,267,368
0.011096
0.055479
Straight
4
220,797,922,656
0.011077
0.036923
Three of a kind
3
1,361,342,573,316
0.068295
0.170738
Two pair
2
2,575,344,642,192
0.129199
0.215331
Jacks or better
1
4,168,350,239,796
0.209116
0.174263
Nothing
0
11,045,467,536,948
0.554123
0.000000
Total
19,933,230,517,200
1.000000
0.996091
Quick Quads — "9/6" Jacks or Better — 47-8-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal Flush
800
13,865,882
0.000025
0.016695
Straight Flush
50
57,810,073
0.000104
0.004350
Four of a Kind
47
3,418,095,385
0.006173
0.241783
Full House
8
5,986,205,359
0.010811
0.072075
Flush
5
5,609,526,825
0.010131
0.042212
Straight
4
6,122,788,449
0.011058
0.036860
Three of a Kind
3
37,947,418,753
0.068534
0.171335
Two Pair
2
71,956,655,523
0.129956
0.216593
Jacks or Better
1
116,443,951,952
0.210301
0.175251
Nothing
0
306,144,529,499
0.552906
0.000000
Totals
553,700,847,700
1.000000
0.977155
Bonus Poker
Quick Quads — Bonus Poker — 46-8-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
499,479,060
0.000025
0.016705
Straight flush
50
2,050,898,292
0.000103
0.004287
Four aces
100
4,198,382,916
0.000211
0.017552
Four 2-4
60
24,260,272,056
0.001217
0.060854
Four 5-K
46
95,160,932,484
0.004774
0.183003
Full house
8
215,327,009,640
0.010802
0.072016
Flush
5
196,543,103,748
0.009860
0.041084
Straight
4
218,788,333,320
0.010976
0.036587
Three of a kind
3
1,370,336,618,856
0.068746
0.171866
Two pair
2
2,593,167,713,280
0.130093
0.216821
Jacks or better
1
4,179,309,331,284
0.209665
0.174721
Nothing
0
11,033,588,442,264
0.553527
0.000000
Total
19,933,230,517,200
1.000000
0.995495
Quick Quads — Bonus Poker — 45-7-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
41,694,807
0.000025
0.016734
Straight flush
50
172,022,966
0.000104
0.004315
Four aces
100
357,482,134
0.000215
0.017934
Four 2-4
60
2,019,889,874
0.001216
0.060800
Four 5-K
45
8,002,493,319
0.004818
0.180659
Full house
7
17,057,139,521
0.010269
0.059900
Flush
5
16,618,651,777
0.010005
0.041686
Straight
4
18,252,801,375
0.010988
0.036628
Three of a kind
3
114,849,320,697
0.069140
0.172851
Two pair
2
215,903,401,155
0.129976
0.216627
Jacks or better
1
348,104,262,948
0.209562
0.174635
Nothing
0
919,723,382,527
0.553682
0.000000
Total
1,661,102,543,100
1.000000
0.982768
Double Bonus
Quick Quads — Double Bonus — 55-9-7
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
416,770,032
0.000021
0.013939
Straight flush
50
2,221,012,980
0.000111
0.004643
Four aces
160
4,557,688,164
0.000229
0.030486
Four 2-4
80
24,016,116,516
0.001205
0.080322
Four 5-K
55
96,063,967,488
0.004819
0.220884
Full house
9
196,153,989,828
0.009841
0.073804
Flush
7
279,463,319,628
0.014020
0.081783
Straight
5
279,008,719,644
0.013997
0.058322
Three of a kind
3
1,336,541,350,020
0.067051
0.167627
Two pair
1
2,379,363,959,088
0.119367
0.099472
Jacks or better
1
3,928,927,420,656
0.197104
0.164254
Nothing
0
11,406,496,203,156
0.572235
0.000000
Total
19,933,230,517,200
1.000000
0.995536
Quick Quads — Double Bonus — 55-9-6
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
40,357,891
0.000024
0.016197
Straight flush
50
178,513,587
0.000107
0.004478
Four aces
160
381,354,831
0.000230
0.030611
Four 2-4
80
2,002,218,941
0.001205
0.080357
Four 5-K
55
8,022,239,314
0.004829
0.221351
Full house
9
16,479,221,444
0.009921
0.074405
Flush
6
18,720,076,672
0.011270
0.056348
Straight
5
24,206,488,762
0.014573
0.060719
Three of a kind
3
112,527,088,498
0.067742
0.169356
Two pair
1
200,337,843,864
0.120605
0.100504
Jacks or better
1
340,149,265,941
0.204773
0.170644
Nothing
0
938,057,875,355
0.564720
0.000000
Total
1,661,102,545,100
1.000000
0.984970
Triple Bonus
Quick Quads — Triple Bonus — 8-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
504,017,940
0.000025
0.016857
Straight flush
100
2,365,418,856
0.000119
0.009889
Four aces
240
4,524,385,524
0.000227
0.045395
Four 2-4
120
26,336,782,476
0.001321
0.132125
Four 5-K
50
96,938,617,308
0.004863
0.202632
Full house
8
185,443,611,660
0.009303
0.062022
Flush
5
205,240,266,984
0.010296
0.042902
Straight
4
235,581,271,812
0.011819
0.039395
Three of a kind
3
1,376,903,008,512
0.069076
0.172689
Two pair
1
2,440,209,901,752
0.122419
0.102016
Jacks or better
1
4,133,837,770,020
0.207384
0.172820
Nothing
0
11,225,345,464,356
0.563147
0.000000
Total
19,933,230,517,200
1.000000
0.998742
Double Double Bonus
Quick Quads — Double Double Bonus — 9-6
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
40,509,448
0.000024
0.016258
Straight flush
50
180,325,761
0.000109
0.004523
Four aces + 2-4
400
101,462,630
0.000061
0.020360
Four 2-4 + A-4
200
281,871,741
0.000170
0.028282
Four aces + 5-K
200
285,409,488
0.000172
0.028637
Four 2-4
80
1,749,858,673
0.001053
0.070229
Four 5-K
52
8,020,141,679
0.004828
0.209222
Full house
9
16,325,816,841
0.009828
0.073712
Flush
6
18,925,846,361
0.011394
0.056968
Straight
4
19,216,930,099
0.011569
0.038563
Three of a kind
3
114,364,100,347
0.068848
0.172121
Two pair
1
203,217,279,861
0.122339
0.101949
Jacks or better
1
350,258,786,613
0.210859
0.175716
Nothing
0
928,134,203,558
0.558746
0.000000
Total
1,661,102,543,100
1.000000
0.996539
Quick Quads — Double Double Bonus — 9-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
41,586,173
0.000025
0.016690
Straight flush
50
171,933,885
0.000104
0.004313
Four aces + 2-4
400
101,766,868
0.000061
0.020422
Four 2-4 + A-4
200
283,655,097
0.000171
0.028461
Four aces + 5-K
200
286,395,723
0.000172
0.028736
Four 2-4
80
1,761,480,341
0.001060
0.070695
Four 5-K
50
8,037,627,304
0.004839
0.201614
Full house
9
16,400,617,734
0.009873
0.074050
Flush
5
17,124,450,082
0.010309
0.042955
Straight
4
19,227,910,746
0.011575
0.038585
Three of a kind
3
115,198,938,646
0.069351
0.173377
Two pair
1
204,430,736,883
0.123069
0.102558
Jacks or better
1
352,893,636,516
0.212445
0.177038
Nothing
0
925,141,807,102
0.556944
0.000000
Total
1,661,102,543,100
1.000000
0.979491
Triple Double Bonus
Quick Quads — Triple Double Bonus — 9-6
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
42,159,127
0.000025
0.016920
Straight flush
50
180,016,893
0.000108
0.004515
Four aces + 2-4
800
115,726,392
0.000070
0.046446
Four 2-4 + A-4
400
300,805,456
0.000181
0.060363
Four aces + 5-K
200
243,528,116
0.000147
0.024434
Four 2-4
80
1,722,493,674
0.001037
0.069131
Four 5-K
50
8,080,238,209
0.004864
0.202683
Full house
9
15,904,028,437
0.009574
0.071808
Flush
6
20,279,348,255
0.012208
0.061042
Straight
4
21,310,786,712
0.012829
0.042764
Three of a kind
2
110,985,272,031
0.066814
0.111357
Two pair
1
201,564,082,461
0.121344
0.101120
Jacks or better
1
339,962,222,985
0.204661
0.170550
Nothing
0
940,411,834,352
0.566137
0.000000
Total
1,661,102,543,100
1.000000
0.983133
Quick Quads — Triple Double Bonus — 9-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
42,571,737
0.000026
0.017086
Straight flush
50
174,151,436
0.000105
0.004368
Four aces + 2-4
800
116,033,699
0.000070
0.046569
Four 2-4 + A-4
400
302,494,565
0.000182
0.060702
Four aces + 5-K
200
244,677,649
0.000147
0.024550
Four 2-4
80
1,733,027,255
0.001043
0.069553
Four 5-K
50
8,087,120,649
0.004869
0.202855
Full house
9
16,021,094,571
0.009645
0.072336
Flush
5
17,408,300,707
0.010480
0.043667
Straight
4
21,530,051,487
0.012961
0.043204
Three of a kind
2
112,174,352,941
0.067530
0.112550
Two pair
1
203,445,322,095
0.122476
0.102063
Jacks or better
1
347,709,655,908
0.209325
0.174437
Nothing
0
932,113,688,401
0.561142
0.000000
Total
1,661,102,543,100
1.000000
0.973941
Triple Bonus Poker Plus
Quick Quads &mdashTriple Bonus Poker Plus — 8-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
42,001,495
0.000025
0.016857
Straight flush
100
197,118,238
0.000119
0.009889
Four aces
240
377,032,127
0.000227
0.045395
Four 2-4
120
2,194,731,873
0.001321
0.132125
Four 5-K
50
8,078,218,109
0.004863
0.202632
Full house
8
15,453,634,305
0.009303
0.062022
Flush
5
17,103,355,582
0.010296
0.042902
Straight
4
19,631,772,651
0.011819
0.039395
Three of a kind
3
114,741,917,376
0.069076
0.172689
Two pair
1
203,350,825,146
0.122419
0.102016
Jacks or better
1
344,486,480,835
0.207384
0.172820
Nothing
0
935,445,455,363
0.563147
0.000000
Total
1,661,102,543,100
1.000000
0.998742
Quick Quads &mdashTriple Bonus Poker Plus — 7-5
EVENT
PAYS
COMBINATIONS
PROBABILITY
RETURN
Royal flush
800
42,190,772
0.000025
0.016933
Straight flush
100
197,439,598
0.000119
0.009905
Four aces
240
377,034,879
0.000227
0.045396
Four 2-4
120
2,192,800,284
0.001320
0.132009
Four 5-K
50
8,091,875,947
0.004871
0.202975
Full house
7
15,283,668,468
0.009201
0.053672
Flush
5
17,226,161,655
0.010370
0.043210
Straight
4
19,639,115,446
0.011823
0.039410
Three of a kind
3
114,799,360,449
0.069110
0.172776
Two pair
1
203,189,250,297
0.122322
0.101935
Jacks or better
1
344,464,937,451
0.207371
0.172809
Nothing
0
935,598,707,852
0.563240
0.000000
Total
1,661,102,543,098
1.000000
0.991029
Strategy
I have strategies available for the following games:
