Double Bonus Strategy

Last update: August 3, 2008

Introduction

This page shows my strategy for 10/7 Double Bonus Poker. With optimal strategy, the expected return of 10/7 Double Bonus is 100.17%. 10/7 Double Bonus is hard to find, especially at high denominations, but is out there at some Vegas casinos. Following is the return table, showing the probability and contribution to the total return for each hand, assuming optimal strategy.

Conflict Hands

The following list shows all the difficult hands, and how to correctly play them.

Definitions:

• High Card = Jack, Queen, King or Ace
• Straight Flush draw (type 1) = Open ended straight flush draw, in which the number of high cards equals or exceeds number of gaps.
• Straight Flush draw (type 2) = Open ended straight flush draw, with one gap, or two gaps with one high card, any ace-low, or 234 suited.
• Straight Flush draw (type 3) = Straight flush draw with two gaps and no high cards.

1. K Q J T 9 — Straight flush or 4 to a royal flush: Keep the straight flush
2. A K Q J T — 4 to a royal flush or Straight: Keep 4 to a royal flush
3. A K J T 9 — 4 to a royal flush or Flush: Keep 4 to a royal flush
4. A A A 2 2 — Three Aces or Full House: Keep the three aces
5. 4 4 4 5 5 — Full House or Three of a Kind (other than aces): Keep the Full House
6. 5 6 7 8 J — Flush or 4 to a straight flush: Keep the flush
7. 3 4 5 6 7 — Straight or 4 to a straight flush: Keep the straight
8. A K Q J T — Straight or 3 to a royal flush: Keep the straight
9. K Q J 9 4 — 4 to a straight flush or 3 to a royal flush: Keep 4 to a straight flush
10. A A K K Q — Two pair or 3 to a royal flush: Keep the two pair
11. J J 4 7 9 — High pair or 4 to a flush: Keep High pair
12. Q Q J K 2 — High pair or 3 to a royal flush: Keep High pair
13. 8 J Q K 9 — 4 to a flush or 3 to a royal flush: Keep the 4 to a flush
14. 2 5 7 9 7 — 4 to a flush or Low pair: Keep 4 to a flush
15. T J Q K 5 — 3 to a royal flush or 4 to an outside straight: Keep 3 to a royal flush
16. T Q A T 8 — 3 to a royal flush or Low pair: Keep 3 to a royal flush
17. 7 7 8 9 T — 4 to an outside straight or Low pair: Keep 4 to an outside straight
18. 7 8 9 T 4 — 4 to an outside straight or 3 to a straight flush (type 3): Keep 4 to an outside straight
19. 7 7 8 9 3 — Low pair or 3 to a straight flush (type 3): Keep the low pair
20. K Q J 9 9 — Low pair or 4 to an inside straight with 3 high cards: Keep the low pair
21. A K Q J 8 — AKQJ unsuited or 3 to a straight flush (type 3): Keep AKQJ unsuited
22. A K Q J 9 — AKQJ unsuited or 4 to an inside straight with 3 high cards: Keep AKQJ unsuited
23. A K Q J 2 — AKQJ unsuited or QJ suited: Keep AKQJ unsuited
24. 2 Q J 9 8 — 3 to a straight flush (type 3) or 4 to an inside straight with 2 high cards: Keep 3 to a straight flush (type 3)
25. 8 T J 3 5 — 3 to a straight flush (type 3) or JT suited: Keep 3 to a straight flush (type 3)
26. K Q J 9 7 — 4 to an inside straight with 3 high cards or QJ suited: Keep 4 to an inside straight with 3 high cards
27. A K Q T 6 — 4 to an inside straight with 3 high cards or 3 to a flush with 2 high cards: Keep 4 to an inside straight with 3 high cards
28. K Q J 9 3 — 4 to an inside straight with 3 high cards or 2 suited high cards: Keep 4 to an inside straight with 3 high cards
29. K Q J 9 8 — 4 to an inside straight with 3 high cards or 3 to a straight flush (type 2): Keep 4 to an inside straight with 3 high cards
30. Q J 7 5 4 — QJ suited or 3 to a flush with 2 high cards: Keep QJ suited
31. 8 9 J Q 2 — QJ suited or 4 to an inside straight with 2 high cards: Keep QJ suited
32. Q J 2 3 4 — QJ suited or 3 to a straight flush (type 1 or 2): Keep QJ suited
33. K J 3 5 6 — 3 to a flush with 2 high cards or 2 suited high cards (except QJ): Keep 3 to a flush with 2 high cards
34. 8 9 J Q 4 — 3 to a flush with 2 high cards or 4 to an inside straight with 2 high cards: Keep 3 to a flush with 2 high cards
35. 2 3 5 J A — 3 to a flush with 2 high cards or 4 to an inside straight with 1 high card: Keep 3 to a flush with 2 high cards
36. K J T 9 6 — 2 suited high cards (except QJ) or 4 to an inside straight with 2 high cards: Keep 2 suited high cards
37. A J 2 3 5 — 2 suited high cards (except QJ) or 3 to a straight flush (type 1 or 2): Keep 2 suited high cards
38. 8 9 J Q 4 — 4 to an inside straight with 2 high cards or 3 to a straight flush (type 1 or 2): Keep 4 to an inside straight with 2 high cards
39. 8 9 J Q 3 — 4 to an inside straight with 2 high cards or 3 to a flush with 1 high card: Keep 4 to an inside straight with 2 high cards
40. 8 9 T Q 2 — 3 to a straight flush (type 2) or 4 to an inside straight with 1 high card: Keep 3 to a straight flush (type 2)
41. 7 8 T J 4 — 4 to an inside straight with 1 high card or JT suited: Keep 4 to an inside straight with 1 high card
42. 7 8 9 J 2 — 4 to an inside straight with 1 high card or 3 to a flush with 1 high card: Keep 4 to an inside straight with 1 high card
43. A 2 4 5 7 — 4 to an inside straight with 1 high card or 3 to a straight flush (type 1): Keep 4 to an inside straight with 1 high card
44. Q J T 2 4 — JT suited or QJ unsuited: Keep JT suited
45. J T 6 7 2 — JT suited or 3 to a flush with 1 high card: Keep JT suited
46. J T 2 4 6 — JT suited or 3 to a straight flush (type 1): Keep JT suited
47. J T K 3 7 — JT suited or KQ, KJ unsuited: Keep JT suited
48. J T A 4 6 — JT suited or Ace: Keep JT suited
49. 6 7 8 T J — JT suited or 4 to an inside straight with no high cards: Keep JT suited
50. J T 2 5 7 — JT suited or 3 to a flush with no high cards: Keep JT suited
51. Q J 9 4 2 — QJ unsuited or 3 to a flush with 1 high card: Keep QJ unsuited
52. Q J T 3 5 — QJ unsuited or QT suited: Keep QJ unsuited
53. Q J 5 6 9 — QJ unsuited or 3 to a straight flush (type 1): Keep QJ unsuited
54. A Q J 4 7 — QJ unsuited or Ace: Keep QJ unsuited
55. Q J 2 5 7 — QJ unsuited or 3 to a flush with no high cards: Keep QJ unsuited
56. 7 T Q 3 2 — 3 to a flush with 1 high card or QT suited: Keep 3 to a flush with 1 high card
57. K Q 8 5 2 — 3 to a flush with 1 high card or KQ, KJ unsuited: Keep 3 to a flush with 1 high card
58. A 5 9 8 6 — 3 to a flush with 1 high card or Ace: Keep 3 to a flush with 1 high card
59. 7 T K 3 2 — 3 to a flush with 1 high card or KT suited: Keep 3 to a flush with 1 high card
60. 6 7 9 T K — 3 to a flush with 1 high card or 4 to an inside straight with no high cards: Keep 3 to a flush with 1 high card
61. Q T 2 4 6 — QT suited or 3 to a straight flush (type 1): Keep QT suited
62. K Q T 4 5 — QT suited or KQ unsuited: Keep QT suited
63. A Q T 6 9 — QT suited or Jack/King/Ace: Keep QT suited
64. Q T 8 7 6 — QT suited or 4 to an inside straight with no high cards: Keep QT suited
65. Q T 3 7 8 — QT suited or 3 to a flush with no high cards: Keep QT suited
66. 5 6 9 K Q — 3 to a straight flush (type 1) or KQ, KJ unsuited: Keep 3 to a straight flush (type 1)
67. 3 5 7 J 8 — 3 to a straight flush (type 1) or Jack/Queen/King/Ace: Keep 3 to a straight flush (type 1)
68. 2 3 6 T K — 3 to a straight flush (type 1) or KT suited: Keep 3 to a straight flush (type 1)
69. 2 3 5 6 9 — 3 to a straight flush (type 1) or 4 to an inside straight with no high cards: Keep 3 to a straight flush (type 1)
70. A K J 7 4 — KQ, KJ unsuited or Ace: Keep KQ, KJ unsuited
71. K Q T 4 6 — KQ, KJ unsuited or KT suited: Keep KQ, KJ unsuited
72. K J 3 8 9 — KQ, KJ unsuited or 3 to a flush with no high cards: Keep KQ, KJ unsuited
73. A K T 4 5 — Ace or KT suited: Keep Ace
74. A J 5 8 9 — Ace or Jack, Queen, King: Keep Ace
75. A 5 6 7 9 — Ace or 4 to an inside straight with no high cards: Keep Ace
76. A 2 5 9 6 — Ace or 3 to a flush with no high cards: Keep Ace
77. K 6 7 9 T — KT suited or 4 to an inside straight with no high cards: Keep KT suited
78. K T 3 5 8 — KT suited or 3 to a flush with no high cards: Keep KT suited
79. J 2 3 4 6 — Jack/Queen/King or 4 to an inside straight with no high cards: Keep Jack/Queen/King
80. Q 2 5 7 9 — Jack/Queen/King or 3 to a flush with no high cards: Keep Jack/Queen/King
81. 2 3 5 6 T — 4 to an inside straight with no high cards or 3 to a flush with no high cards: Keep 4 to an inside straight with no high cards

Traditional Strategy Table

The following list shows the value of each type of hand on the deal, in order from best to worst. To play a difficult hand, look up all viable ways to play it on the list, and play the highest one.

1. Straight flush, four of a kind, royal flush
2. 4 to a royal flush
3. Three aces
4. Straight, flush, full house
5. Three of a kind (except aces)
6. 4 to a straight flush
7. Two pair
8. High pair
9. 4 to a flush
10. 3 to a royal flush
11. 4 to an outside straight
12. Low pair
13. AKQJ unsuited
14. 3 to a straight flush (type 1)
15. 4 to an inside straight with 3 high cards
16. QJ suited
17. 3 to a flush with 2 high cards
18. 2 suited high cards
19. 4 to an inside straight with 2 high cards
20. 3 to a straight flush (type 2)
21. 4 to an inside straight with 1 high card
22. JT suited
23. QJ unsuited
24. 3 to a flush with 1 high card
25. QT suited
26. 3 to a straight flush (type 3)
27. KQ, KJ unsuited
28. Ace
29. KT suited
30. Jack, Queen or King
31. 4 to an inside straight with no high cards
32. 3 to a flush with no high cards
33. Discard everything

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