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).
Gambling Guide
