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Last Updated: February 12, 2019

8/5 Bonus Poker for Quick Quads

Introduction

The following strategy is for 8/5 Bonus Poker Quick Quads. The following return table shows that with optimal strategy the return is 99.55%.

Quick Quads — "8/5" Bonus Poker

Event Pays Combinations Probability Return
Royal flush 800 499479060 0.000025 0.016705
Straight flush 50 2050898292 0.000103 0.004287
Four aces 100 4198382916 0.000211 0.017552
Four 2-4 60 8547691188 0.000429 0.021441
Four 5-K 46 28035965772 0.001406 0.053916
Quick quads (2-4) 60 15712580868 0.000788 0.039413
Quick quads (5-10) 46 67124966712 0.003367 0.129087
Full house 8 215327009640 0.010802 0.072016
Flush 5 196543103748 0.00986 0.041084
Straight 4 218788333320 0.010976 0.036587
Three of a kind 3 1370336618856 0.068746 0.171866
Two pair 2 2593167713280 0.130093 0.216821
Jacks or better 1 4179309331284 0.209665 0.174721
Nothing 0 11033588442264 0.553527 0
Total 19933230517200 1 0.995495

The strategy below is more than 99.9985% accurate; meaning the cost due to errors is 0.0015%. 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. Four of a kind (regular or Quick Quads)
  3. Straight flush
  4. 4 to a royal flush
  5. Three of a kind with kicker - 3's with any A,2 or 4's with any A,3
  6. Full house
  7. Three of a kind with 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
  8. Three of a kind with kicker - 2's with an Ace or 4's with a 2
  9. Three of a kind
  10. Flush
  11. Two pair - AA22, 2244, 3366, 4488, 55TT
  12. Straight
  13. 4 to a straight flush, no gap
  14. One pair with two kickers - 3's with A2 or 4's with A3
  15. Two pair
  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 (2346 to 689T)
  19. One pair - JJ, QQ, KK, AA
  20. 3 to a royal flush
  21. One pair - 77, 88, 99, TT
  22. One pair with a kicker - 3's with any A,2; or 4's with any A,3
  23. 4 to a flush with 2 high cards
  24. One pair - 33, 44, 55, 66
  25. 4 to a flush with 1 high card
  26. One pair with a kicker - 2's with an Ace
  27. One pair - 2's
  28. 4 to a flush with no high cards
  29. Unsuited 89TJ, 9TJQ, TJQK
  30. Suited 9TJ, 9JQ
  31. Unsuited 2345, 3456, 4567, 5678, 6789, 789T
  32. Suited A23, A34, A45
  33. Unsuited JQKA
  34. Suited 8JQ, 9JK, 9QK
  35. Suited JQ
  36. Suited 235
  37. Suited JK, QK
  38. Suited 89J, 8TJ, 9TQ
  39. Suited 345, 456, 567, 678, 789, 89T
  40. Suited JA, QA, KA
  41. Unsuited 9JQK, TJQA, TJKA, TQKA
  42. 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
  43. Unsuited JQK
  44. Suited 246, 347
  45. Unsuited JQ
  46. Ace
  47. Suited A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
  48. Unsuited JK, QK
  49. Suited TJ
  50. Suited A24, A25, 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
  51. Suited TQ
  52. Jack, Queen or King
  53. 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
  54. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
  55. 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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