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One-Eyed Jacks

Last Update: Sep 07, 2004

Introduction

One-Eyed Jacks is a video poker variation in which, you guessed it, one-eyed jacks (in hearts and spades) are wild. An exception is that a natural royal flush in hearts or spades counts, in other words the one-eyed jack is not forced to be wild.

Return

75-50 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	517357408	0.000026	0.020764
Wild Royal Flush	200	5389058980	0.00027	0.054071
Five of a kind	75	9264247202	0.000465	0.034857
Straight Flush	50	40238004250	0.002019	0.100932
Four of a kind	15	402672195348	0.020201	0.303016
Full House	5	385743244800	0.019352	0.096759
Flush	3	351977034740	0.017658	0.052973
Straight	2	597327460550	0.029966	0.059933
Three of a kind	1	3688210843150	0.185028	0.185028
Two pair	1	1883259382770	0.094478	0.094478
Nonpaying hand	0	12568631688002	0.630537	0
Total		19933230517200	1	1.002811

80-50 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	513965766	0.000026	0.020627
Wild Royal Flush	180	5298275364	0.000266	0.047844
Five of a kind	80	9267845694	0.000465	0.037196
Straight Flush	50	40384893940	0.002026	0.1013
Four of a kind	15	402731777210	0.020204	0.303061
Full House	5	385817595960	0.019355	0.096777
Flush	3	351926707766	0.017655	0.052966
Straight	2	602973269682	0.03025	0.060499
Three of a kind	1	3687272139870	0.184981	0.184981
Two pair	1	1884221825082	0.094527	0.094527
Nonpaying hand	0	12562822220866	0.630245	0
Total		19933230517200	1	0.999779

75-45 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	519410406	0.000026	0.020846
Wild Royal Flush	200	5448315596	0.000273	0.054666
Five of a kind	75	9299546704	0.000467	0.03499
Straight Flush	45	39050705070	0.001959	0.088158
Four of a kind	15	404633593424	0.020299	0.304492
Full House	5	386766114210	0.019403	0.097015
Flush	3	349839099492	0.017551	0.052652
Straight	2	594391657846	0.029819	0.059638
Three of a kind	1	3703131704080	0.185777	0.185777
Two pair	1	1886760249222	0.094654	0.094654
Non-paying hand	0	12553390121150	0.629772	0
Total		19933230517200	1	0.992888

75-50 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	505681268	0.000025	0.020295
Wild Royal Flush	150	5183731554	0.00026	0.039008
Five of a kind	75	9264459196	0.000465	0.034858
Straight Flush	50	40624300588	0.002038	0.101901
Four of a kind	15	402596706420	0.020197	0.302959
Full House	5	385895841162	0.019359	0.096797
Flush	3	351974241246	0.017658	0.052973
Straight	2	610971665120	0.030651	0.061302
Three of a kind	1	3685952524350	0.184915	0.184915
Two pair	1	1884765467190	0.094554	0.094554
Non-paying hand	0	12555495899106	0.629878	0
Total		19933230517200	1	0.989562

75-45-15 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	508886194	0.000026	0.020424
Wild Royal Flush	150	5227969762	0.000262	0.039341
Five of a kind	75	9298239632	0.000466	0.034985
Straight Flush	45	39509893244	0.001982	0.089195
Four of a kind	15	404465659466	0.020291	0.304365
Full House	5	386848774332	0.019407	0.097036
Flush	3	350062001952	0.017562	0.052685
Straight	2	609840773972	0.030594	0.061188
Three of a kind	1	3699607396442	0.1856	0.1856
Two pair	1	1887943844064	0.094713	0.094713
Non-paying hand	0	12539917078140	0.629096	0
Total		19933230517200	1	0.979533

75-40-15 One-Eyed Jacks
Hand	Pays	Combinations	Probability	Return
Nat. Royal Flush	800	512466912	0.000026	0.020567
Wild Royal Flush	150	5270391894	0.000264	0.03966
Five of a kind	75	9323709972	0.000468	0.035081
Straight Flush	40	38815598626	0.001947	0.077891
Four of a kind	15	405683180324	0.020352	0.305282
Full House	5	386978190204	0.019414	0.097069
Flush	3	345061035094	0.017311	0.051933
Straight	2	617328690676	0.03097	0.06194
Three of a kind	1	3702984527850	0.185769	0.185769
Two pair	1	1883911002996	0.094511	0.094511
Non-paying hand	0	12537361722652	0.628968	0
Total		19933230517200	1	0.969703

Strategy

Sorry, I don't have a strategy for this game. My computer figures out the optimal strategy by brute force. All I can give you is the following table, which shows the frequency of each number of discards for the 100.28% game.

One-Eyed Jacks Number of Discards
Discards	Combinations	Probability
0	34774	1.34%
1	299746	11.53%
2	465710	17.92%
3	1406832	54.13%
4	124722	4.80%
5	267176	10.28%
Total	2598960	100.00%

Other information:Bob Dancer addresses lists the returns for this game and many others in A Player's Guide to Good Video Poker Games (Strictly Slots, Nov. 2003).

My Video Poker Offerings
Basic Video Poker Info My main Video Poker page Return tables: Probability of Ruin for single-play video poker Random simulations of multi-play video poker The standard deviation of n-play video poker Practice / Play Video Poker for Free Play my free video poker game/trainer Video Poker Calculator Analyze the return for almost any video poker paytable Other Stuff Jacks or Better quiz Probability distribution for each hand by number of cards held in Full-Pay Deuces Wild Video poker programming tips San Diego County video poker survey	Strategies Full-Pay Jacks or Better: Simple Strategy (return of 99.46%) Intermediate Strategy (return of 99.52%) Optimal Strategy (return of 99.54%) Full-Pay Deuces Wild: Simple Strategy (return of 100.71%) Optimal Strategy (return of 100.76%) 3 to a wild royal (ace-high) vs. Deuce only 2 to a royal (king-high) with a straight penalty 2 to a royal (king-high) with no penalty Quick Quads: 9/6 Jacks or Better 8/5 Bonus Poker 9/7 Double Bonus 9/6 Double Double Bonus 8/5 Triple Bonus Other Strategies: "Not So Ugly Ducks" 8/5 Bonus Poker 10/7 Double Bonus 9/6 Double Double Bonus

One-Eyed Jacks

Introduction

Return

Strategy

Basic Video Poker Info

Practice / Play Video Poker for Free

Video Poker Calculator

Other Stuff

Strategies

Full-Pay Jacks or Better:

Full-Pay Deuces Wild:

Quick Quads:

Other Strategies: