# 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

## Acknowledgements

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

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