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Last Updated: March 11, 2009

8/5 Triple Bonus for Quick Quads

Introduction

The following strategy is for 8/5 Triple Bonus Quick Quads. The following return table shows that with optimal strategy the return is 99.87%.

Quick Quads — "8/5" Triple Bonus

Event Pays Combinations Probability Return
Royal flush 800 504017940 0.000025 0.016857
Straight flush 100 2365418856 0.000119 0.009889
Four aces 240 4524385524 0.000227 0.045395
Four 2-4 120 8634092292 0.000433 0.043315
Four 5-K 50 27974079828 0.001403 0.058475
Quick quads (2-4) 120 17702690184 0.000888 0.08881
Quick quads (5-10) 50 68964537480 0.00346 0.144157
Full house 8 185443611660 0.009303 0.062022
Flush 5 205240266984 0.010296 0.042902
Straight 4 235581271812 0.011819 0.039395
Three of a kind 3 1376903008512 0.069076 0.172689
Two pair 1 2440209901752 0.122419 0.102016
Jacks or better 1 4133837770020 0.207384 0.17282
Nothing 0 11225345464356 0.563147 0
Total 19933230517200 1 0.998742

The strategy below is more than 99.9979% accurate; meaning the cost due to errors is 0.0021%. 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 jacks, 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 pair of queens, the best play depends on the which cards are in the three to a royal. In this case, a JQA three to a royal is listed below a pair of jacks, thus the better play is holding the jacks.

  1. Royal flush
  2. Four of a kind (regular or Quick Quads)
  3. Straight flush
  4. 4 to a royal flush
  5. 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
  6. Three of a kind - Aces, 2's, 3's, 4's, 9's, 10's
  7. Full house
  8. Three of a kind - 5's through 8's, J's, Q's, K's
  9. Two pair - AA22, 2244, 3366, 4488, 55TT
  10. 4 to a straight flush, no gap (2345 to 9TJQ)
  11. One pair with two kickers - 3's with A2; or 4's with A3
  12. Flush
  13. Straight
  14. 4 to a straight flush, 1 gap (includes A234)
  15. 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
  16. One pair - aces
  17. Two pair
  18. 3 to a royal flush - TJQ, JQK
  19. One pair with a kicker - 3's with any A,2; or 4's with any A,3
  20. One pair - JJ, QQ, KK
  21. 3 to a royal flush - TJK, TJA, TQK, TQA, TKA, JQA, JKA, QKA
  22. One pair with a kicker - 2's with an Ace; or 4's with a 2
  23. One pair - 33, 44
  24. 4 to a flush with 2 high cards
  25. One pair - 22, 99, TT
  26. 4 to a flush with 1 high card
  27. One pair - 77, 88
  28. 4 to a flush with no high cards
  29. One pair - 55, 66
  30. Unsuited TJQK
  31. Suited A23, A34
  32. Unsuited 9TJQ
  33. Suited 9TJ, 9JQ
  34. Unsuited 2345, 3456, 4567, 5678, 6789, 789T, 89TJ
  35. Suited A45, 235, 345, 456, 567, 678, 789, 89T, 89J, 8TJ, 8JQ, 9TQ, 9JK, 9QK
  36. Unsuited JQKA
  37. Suited JQ
  38. Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
  39. Unsuited A23, A34
  40. Suited JK, QK
  41. Suited 246, 347
  42. Unsuited 9JQK, TJQA, TJKA, TQKA
  43. Suited JA, QA, KA
  44. Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
  45. 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
  46. Ace
  47. Unsuited JQK
  48. Unsuited 89JQ, 8TJQ, 9TJK, 9TQK
  49. Unsuited JQ
  50. Suited TJ
  51. Unsuited JK, QK
  52. Suited TQ, TK
  53. Jack, Queen or King
  54. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
  55. 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
  56. Suited 34
  57. Suited 23
  58. 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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