On this page
One-Eyed Jacks
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).