Last Updated: February 12, 2019

# 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

## Acknowledgements

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

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