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.g    One-Eyed Jacks

Last Update: September 7, 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

One-Eyed Jacks Video Poker Return Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005173574080.0000260.020764
Wild Royal Flush 20053890589800.000270.054071
Five of a kind 7592642472020.0004650.034857
Straight Flush 50402380042500.0020190.100932
Four of a kind 154026721953480.0202010.303016
Full House 53857432448000.0193520.096759
Flush 33519770347400.0176580.052973
Straight 25973274605500.0299660.059933
Three of a kind 136882108431500.1850280.185028
Two pair 118832593827700.0944780.094478
Nonpaying hand 0125686316880020.6305370
Total1993323051720011.002811

One-Eyed Jacks Video Poker Return Table - "Chicago" Pay Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005139657660.0000260.020627
Wild Royal Flush 18052982753640.0002660.047844
Five of a kind 8092678456940.0004650.037196
Straight Flush 50403848939400.0020260.1013
Four of a kind 154027317772100.0202040.303061
Full House 53858175959600.0193550.096777
Flush 33519267077660.0176550.052966
Straight 26029732696820.030250.060499
Three of a kind 136872721398700.1849810.184981
Two pair 118842218250820.0945270.094527
Nonpaying hand 0125628222208660.6302450
Total1993323051720010.999779

>

One-Eyed Jacks Video Poker Return Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005194104060.0000260.020846
Wild Royal Flush 20054483155960.0002730.054666
Five of a kind 7592995467040.0004670.03499
Straight Flush 45390507050700.0019590.088158
Four of a kind 154046335934240.0202990.304492
Full House 53867661142100.0194030.097015
Flush 33498390994920.0175510.052652
Straight 25943916578460.0298190.059638
Three of a kind 137031317040800.1857770.185777
Two pair 118867602492220.0946540.094654
Non-paying hand0125533901211500.6297720
Total1993323051720010.992888

One-Eyed Jacks Video Poker Return Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005056812680.0000250.020295
Wild Royal Flush 15051837315540.000260.039008
Five of a kind 7592644591960.0004650.034858
Straight Flush 50406243005880.0020380.101901
Four of a kind 154025967064200.0201970.302959
Full House 53858958411620.0193590.096797
Flush 33519742412460.0176580.052973
Straight 26109716651200.0306510.061302
Three of a kind 136859525243500.1849150.184915
Two pair 118847654671900.0945540.094554
Non-paying hand0125554958991060.6298780
Total1993323051720010.989562

One-Eyed Jacks Video Poker Return Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005088861940.0000260.020424
Wild Royal Flush 15052279697620.0002620.039341
Five of a kind 7592982396320.0004660.034985
Straight Flush 45395098932440.0019820.089195
Four of a kind 154044656594660.0202910.304365
Full House 53868487743320.0194070.097036
Flush 33500620019520.0175620.052685
Straight 26098407739720.0305940.061188
Three of a kind 136996073964420.18560.1856
Two pair 118879438440640.0947130.094713
Non-paying hand0125399170781400.6290960
Total1993323051720010.979533

One-Eyed Jacks Video Poker Return Table

Hand

Pays

Combinations

Probability

Return

Nat. Royal Flush 8005124669120.0000260.020567
Wild Royal Flush 15052703918940.0002640.03966
Five of a kind 7593237099720.0004680.035081
Straight Flush 40388155986260.0019470.077891
Four of a kind 154056831803240.0203520.305282
Full House 53869781902040.0194140.097069
Flush 33450610350940.0173110.051933
Straight 26173286906760.030970.06194
Three of a kind 137029845278500.1857690.185769
Two pair 118839110029960.0945110.094511
Non-paying hand0125373617226520.6289680
Total1993323051720010.969703

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

0347741.34%
129974611.53%
246571017.92%
3140683254.13%
41247224.80%
526717610.28%
Total2598960100.00%

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).

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