# 9/7 Double Bonus for Quick Quads

## Introduction

The following strategy is for 9/7 Double Bonus Quick Quads. The following return table shows that with optimal strategy the return is 99.55%.

### Quick Quads — "9/7" Double Bonus

Event Pays Combinations Probability Return
Royal flush 800 416770032 0.000021 0.013939
Straight flush 50 2221012980 0.000111 0.004643
Four aces 160 4557688164 0.000229 0.030486
Four 2-4 80 8457128028 0.000424 0.028285
Four 5-K 55 27257338284 0.001367 0.062674
Quick quads (2-4) 80 15558988488 0.000781 0.052037
Quick quads (5-10) 55 68806629204 0.003452 0.15821
Full house 9 196153989828 0.009841 0.073804
Flush 7 279463319628 0.01402 0.081783
Straight 5 279008719644 0.013997 0.058322
Three of a kind 3 1336541350020 0.067051 0.167627
Two pair 1 2379363959088 0.119367 0.099472
Jacks or better 1 3928927420656 0.197104 0.164254
Nothing 0 11406496203156 0.572235 0
19933230517200 1 0.995536

The strategy below is more than 99.9935% accurate; meaning the cost due to errors is 0.0065%. 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: a high pair (of jacks), three to a royal (JQA), and four to a flush (with three high cards). The highest listed is "4 to a flush with 3 high cards," which is thus the best play.

1. Royal flush
2. Four of a kind (regular or Quick Quads)
3. Straight flush
4. 4 to a royal flush
5. Three aces
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. Full house
8. 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
9. Three of a kind - 2's through K's
10. Flush
11. Straight
12. 4 to a straight flush, no gap (2345 to 9TJQ)
13. Two pair - AA22, 2244, 3366, 4488, 55TT
14. One pair with two kickers - 33+A2 or 44+A3
15. 4 to a straight flush, one gap (including A234)
16. 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
17. One pair - aces
18. Two pair
19. 3 to a royal flush - TJQ, JQK
20. 4 to a flush with 3 high cards
21. One pair - JJ, QQ, KK
22. 4 to a flush with 2 high cards
23. 3 to a royal flush - TJK, TQK, JQA, JKA, QKA
24. 4 to a flush with 1 high card
25. 3 to a royal flush - TJA, TQA, TKA
26. 4 to a flush with no high cards
27. One pair with a kicker - 3's with any A,2; or 4's with any A,3
28. One pair - 88, 99, TT
29. Unsuited 89TJ, 9TJQ, TJQK
30. One pair with a kicker - 2's with an Ace
31. One pair - 22, 33, 44, 55, 66, 77
32. Unsuited 2345, 3456, 4567, 5678, 6789, 789T
33. Suited 9TJ
34. Suited A23, A34
35. Suited 9JQ
36. Suited 235
37. Suited A45
38. Unsuited JQKA
39. Suited 345, 456, 567, 678, 789, 89T, 89J, 8TJ, 8JQ, 9TQ, 9JK, 9QK
40. Unsuited 9JQK, TJQA, TJKA, TQKA
41. Suited 246, 347
42. 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
43. Suited JQ
44. 3 to a flush with 2 high cards
45. Suited JK, QK
46. Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
47. Unsuited 89JQ, 8TJQ, 9TJK, 9TQK
48. Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
49. Suited JA, QA, KA
50. Unsuited JQK
51. 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
52. Unsuited TJQ
53. Unsuited A234, A235, A245, A345, 789J, 78TJ, 79TJ, 89TQ
54. Ace
55. Suited TJ
56. Unsuited JQ
57. Suited TQ
58. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
59. 3 to a flush with 1 high card (high card must be J/Q/K)
60. Unsuited JK, QK
61. Suited TK
62. Jack, Queen or King
63. Unsuited 2346, 2356, 2456, 3457, 3467, 3567, 4568, 4578, 4678, 5679, 5689, 5789, 678T, 679T, 689T
64. Unsuited 235
65. 3 to a flush with no high cards
66. Suited 34
67. Suited 45
68. Suited 56, 67, 78, 89, 9T

## Acknowledgements

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

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