Quick Quads

Last update: Sep. 17, 2008

Quick Quads is a video poker game I 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, as I did in the picture below, 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.

According to this Bob Dancer article, the player should keep a singleton A-9 with a three of a kind on the deal. If the player has a hand like 88845, he should keep 8885, because there are more threes left in the decks than fours, to complete the Quick Quad.

The following return tables show the pay tables available at the Red Rock at the $1 denomination, in order of highest to lowest return. The return column is the product of the win, probability, and 5/6.

Quick Quads — "8/5" Triple Bonus
Event	Pays	Combinations	Probability	Return
Royal flush	800	504017940	0.000025	0.016857
Straight flush	100	2365418856	0.000119	0.009889
Four aces	240	4524385524	0.000227	0.045395
Four 2-4	120	8634092292	0.000433	0.043315
Four 5-K	50	27974079828	0.001403	0.058475
Quick quads (2-4)	120	17702690184	0.000888	0.08881
Quick quads (5-10)	50	68964537480	0.00346	0.144157
Full house	8	185443611660	0.009303	0.062022
Flush	5	205240266984	0.010296	0.042902
Straight	4	235581271812	0.011819	0.039395
Three of a kind	3	1376903008512	0.069076	0.172689
Two pair	1	2440209901752	0.122419	0.102016
Jacks or better	1	4133837770020	0.207384	0.17282
Nothing	0	11225345464356	0.563147	0
Total		19933230517200	1	0.998742

Quick Quads — "9/6" Double Double Bonus
Event	Pays	Combinations	Probability	Return
Royal flush	800	486113376	0.000024	0.016258
Straight flush	50	2171742012	0.000109	0.00454
Four aces + 2-4	400	1217551560	0.000061	0.02036
Four 2-4 + A-4	200	3382460892	0.00017	0.028282
Four aces + 5-K	200	3424913856	0.000172	0.028637
Four 2-4	80	5247744888	0.000263	0.017551
Four 5-K	52	27729577872	0.001391	0.060282
Quick quads (2-4)	80	15750559188	0.00079	0.052678
Quick quads (5-10)	52	68496456516	0.003436	0.148906
Full house	9	195909802092	0.009828	0.073712
Flush	6	227172819372	0.011397	0.056983
Straight	4	230626659828	0.01157	0.038567
Three of a kind	3	1372369204164	0.068848	0.172121
Two pair	1	2438560361052	0.122336	0.101947
Jacks or better	1	4203105439356	0.210859	0.175716
Nothing	0	11137579111176	0.558744	0
Total		19933230517200	1	0.996539

Quick Quads — "9/7" Double Bonus
Event	Pays	Combinations	Probability	Return
Royal flush	800	416770032	0.000021	0.013939
Straight flush	50	2221012980	0.000111	0.004643
Four aces	160	4557688164	0.000229	0.030486
Four 2-4	80	8457128028	0.000424	0.028285
Four 5-K	55	27257338284	0.001367	0.062674
Quick quads (2-4)	80	15558988488	0.000781	0.052037
Quick quads (5-10)	55	68806629204	0.003452	0.15821
Full house	9	196153989828	0.009841	0.073804
Flush	7	279463319628	0.01402	0.081783
Straight	5	279008719644	0.013997	0.058322
Three of a kind	3	1336541350020	0.067051	0.167627
Two pair	1	2379363959088	0.119367	0.099472
Jacks or better	1	3928927420656	0.197104	0.164254
Nothing	0	11406496203156	0.572235	0
		19933230517200	1	0.995536

Quick Quads — "8/5" Bonus Poker
Event	Pays	Combinations	Probability	Return
Royal flush	800	499479060	0.000025	0.016705
Straight flush	50	2050898292	0.000103	0.004287
Four aces	100	4198382916	0.000211	0.017552
Four 2-4	60	8547691188	0.000429	0.021441
Four 5-K	46	28035965772	0.001406	0.053916
Quick quads (2-4)	60	15712580868	0.000788	0.039413
Quick quads (5-10)	46	67124966712	0.003367	0.129087
Full house	8	215327009640	0.010802	0.072016
Flush	5	196543103748	0.00986	0.041084
Straight	4	218788333320	0.010976	0.036587
Three of a kind	3	1370336618856	0.068746	0.171866
Two pair	2	2593167713280	0.130093	0.216821
Jacks or better	1	4179309331284	0.209665	0.174721
Nothing	0	11033588442264	0.553527	0
Total		19933230517200	1	0.995495

Links

Play for free at videopoker.com.

Bob Dancer article, A Quick Primer on Quick Quads.

The Wizard's other sites: Wizard of Macau, Sweat the Money, Math Problems