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Last Updated: March 11, 2009

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
  50. Discard everything

Other Quick Quads Pages

Acknowledgements

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

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Written by: Michael Shackleford

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