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Last Updated: February 21, 2015

9/6 Double Double Bonus for Quick Quads

Introduction

The following strategy is for 9/6 Double Double Bonus Quick Quads. The following return table shows that with optimal strategy the return is 99.65%.

Quick Quads — "9/6" Double Double Bonus

Event Pays Combinations Probability Return
Royal flush 800 486113376 0.000024 0.016258
Straight flush 50 2171742012 0.000109 0.00454
Four aces + 2-4 400 1217551560 0.000061 0.02036
Four 2-4 + A-4 200 3382460892 0.00017 0.028282
Four aces + 5-K 200 3424913856 0.000172 0.028637
Four 2-4 80 5247744888 0.000263 0.017551
Four 5-K 52 27729577872 0.001391 0.060282
Quick quads (2-4) 80 15750559188 0.00079 0.052678
Quick quads (5-10) 52 68496456516 0.003436 0.148906
Full house 9 195909802092 0.009828 0.073712
Flush 6 227172819372 0.011397 0.056983
Straight 4 230626659828 0.01157 0.038567
Three of a kind 3 1372369204164 0.068848 0.172121
Two pair 1 2438560361052 0.122336 0.101947
Jacks or better 1 4203105439356 0.210859 0.175716
Nothing 0 11137579111176 0.558744 0
Total 19933230517200 1 0.996539

The strategy below is more than 99.9980% accurate; meaning the cost due to errors is 0.0020%. 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 pair of queens, 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 high cards is not listed (because three to a royal is always better), and thus should never be played. Between three to a royal and pair of queens, the three to a royal is listed first, and thus is the better play.

  1. Royal flush
  2. Four of a kind with a kicker - A,2,3,4 with any A,2,3,4
  3. Four of a kind (regular or Quick Quads)
  4. Straight flush
  5. 4 to a royal flush
  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
  7. Three of a kind - Aces to 4's
  8. Full house
  9. Three of a kind with a kicker:
    • 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
  10. Three of a kind (except Aces to 4's)
  11. Flush
  12. Two pair - AA22, 2244, 3366, 4488, 55TT
  13. Straight
  14. 4 to a straight flush, no gap (2345 to 9TJQ)
  15. One pair with two kickers - 3's with A2 or 4's with A3
  16. 4 to a straight flush, 1 gap, 1 or more high cards (A234 to 9JQK)
  17. One pair with two kickers:
    • 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
  18. 4 to a straight flush, 1 gap, no high cards
  19. One pair - Aces
  20. Two pair
  21. 3 to a royal flush - JQK
  22. One pair - JJ, QQ, KK
  23. 3 to a royal flush - TJQ, TJK, TQK, JQA, JKA, QKA
  24. 4 to a flush with 2 high cards
  25. 3 to a royal flush - TJA, TQA, TKA
  26. One pair with a kicker - 3's with any A,2; or 4's with any A,3
  27. 4 to a flush with 0 or 1 high cards
  28. One pair with a kicker - 2's with an Ace
  29. One pair - 2's through 10's
  30. Unsuited 89TJ, 9TJQ, TJQK
  31. Suited A23, A34, 9TJ, 9JQ
  32. Unsuited 2345, 3456, 4567, 5678, 6789, 789T
  33. Suited A45, 235
  34. Suited 8JQ, 9JK, 9QK
  35. Suited 89J, 8TJ, 9TQ
  36. Suited 345, 456, 567, 678, 789, 89T
  37. Unsuited JQKA
  38. Suited JQ
  39. Suited JK, QK
  40. 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
  41. Suited JA, QA, KA
  42. Suited 246, 347
  43. Unsuited 9JQK, TJQA, TJKA, TQKA
  44. Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
  45. Ace
  46. Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
  47. Unsuited JQK
  48. Unsuited 89JQ, 8TJQ, 9TJK, 9TQK
  49. Unsuited JQ
  50. Suited TJ
  51. 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
  52. Unsuited JK, QK
  53. Suited TQ, TK
  54. Jack, Queen or King
  55. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
  56. Suited 34
  57. 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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