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# 9/6 Jacks or Better for Quick Quads

## Introduction

The following strategy is for 9/6 Jacks or Better Quick Quads. The following return table shows that with optimal strategy the return is 99.61%.

### Quick Quads — "9/6" Jacks or Better

Event Pays Combinations Probability Return
Royal Flush 800 504987360 0.000025 0.016889
Straight Flush 50 2198649216 0.00011 0.004596
Four of a Kind 47.2 122334156636 0.006137 0.241396
Full House 9 215235163704 0.010798 0.080984
Flush 6 219460508964 0.011010 0.055049
Straight 4 221046761088 0.011089 0.036965
Three of a Kind 3 1357437205548 0.068099 0.170248
Two Pair 2 2577228780816 0.129293 0.215488
Jacks or Better 1 4172612655420 0.209329 0.174441
Nothing 0 11045171648448 0.554108 0
Totals   19933230517200 1 0.996056

The strategy below is more than 99.9966% accurate; meaning the cost due to errors is 0.0034%. To use the strategy, look up all viable ways to play the hand, and go with the one listed first. If a play is not listed, that means there is always a better alternative, and it should never be played. For example, if the player has 2 J Q Q A there are three viable plays: the high pair, three to a royal, or four to a flush. Playing a four to a flush depends on the number of high cards. A four to a flush with three cards is not listed (because three to a royal is always better), and thus should never be played. Between three to a royal and a high pair, the high pair is listed first, and thus is the better play.

1. Royal flush
2. Straight flush
3. Four of a kind (regular or Quick Quads)
4. 4 to a royal flush
5. Full house
6. Three of a kind with a kicker:
• 2's with an Ace
• 3's with any A,2
• 4's with any A,2,3
• 5's with any A,2,3,4
• 6's with any A,2,3,4,5
• 7's with any A,2,3,4,5,6
• 8's with any A,2,3,5,6,7
• 9's with any A,2,3,4,5,6,7,8
• 10's with any A,2,3,4,6,7,8,9
7. Three of a kind
8. Flush
9. Two pair - AA22, 2244, 3366, 4488, 55TT
10. Straight
11. 4 to a straight flush
12. Two pair
13. One pair with a kicker:
• 3's with A2
• 4's with A3
• 5's with A4/23
• 6's with A5/24
• 7's with A6/25/34
• 8's with A7/26/35
• 9's with A8/27/36/45
• 10's with A9/28/37/46
14. One pair - JJ, QQ, KK, AA
15. 3 to a royal flush
16. 4 to a flush with 2 high cards
17. One pair - TT
18. 4 to a flush with 1 high card
19. One pair - 99
20. 4 to a flush with no high cards
21. One pair - 55, 66, 77, 88
22. One pair with a kicker - 2's with any Ace; 3's with any A,2; 4's with any A,3
23. One pair - 22, 33, 44
24. Unsuited 89TJ, 9TJQ, TJQK
25. Suited 9TJ, 9JQ
26. Unsuited 2345, 3456, 4567, 5678, 6789, 789T
27. Suited A23, A34, A45
28. Suited 235
29. Suited 8JQ, 9JK, 9QK
30. Suited 89J, 8TJ, 9TQ
31. Suited 345, 456, 567, 678, 789, 89T
32. Suited JQ
33. Unsuited JQKA
34. Suited JK, QK
35. Suited JA, QA, KA
36. 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
37. Suited 246, 347
38. Unsuited 9JQK, TJQA, TJKA, TQKA
39. Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
40. Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
41. Unsuited JQK
42. Unsuited JQ
43. Suited TJ
44. Unsuited JK, QK
45. Ace
46. Suited TQ, TK
47. Jack, Queen or King
48. 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
49. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T

## Acknowledgements

All credit for this strategy belongs to "JB," who I thank for his outstanding work.

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