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Double Bonus Strategy
Last update: Dec. 8, 2009
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.
"10/7" Double Bonus
Hand
Pays
Combinations
Probability
Return
Royal flush
800
414860472
0.000021
0.016650
Straight flush
50
2254539360
0.000113
0.005655
4 aces
160
3962537892
0.000199
0.031806
4 2-4
80
10446264684
0.000524
0.041925
4 5-K
50
32045992176
0.001608
0.080383
Full house
10
223050658608
0.011190
0.111899
Flush
7
298068519408
0.014953
0.104673
Straight
5
299385345432
0.015019
0.075097
3 of a kind
3
1439168246364
0.072199
0.216598
Two pair
1
2484844034580
0.124658
0.124658
Jacks or better
1
3834735881328
0.192379
0.192379
Nothing
0
11304853636896
0.567136
0.000000
Total
19933230517200
1.000000
1.001725
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.
K Q J T 9 — Straight flush or 4 to a royal flush: Keep the straight flush
A K Q J T — 4 to a royal flush or Straight: Keep 4 to a royal flush
A K J T 9 — 4 to a royal flush or Flush: Keep 4 to a royal flush
A A A 2 2 — Three Aces or Full House: Keep the three aces
4 4 4 5 5 — Full House or Three of a Kind (other than aces): Keep the Full House
5 6 7 8 J — Flush or 4 to a straight flush: Keep the flush
3 4 5 6 7 — Straight or 4 to a straight flush: Keep the straight
A K Q J T — Straight or 3 to a royal flush: Keep the straight
K Q J 9 4 — 4 to a straight flush or 3 to a royal flush: Keep 4 to a straight flush
A A K K Q — Two pair or 3 to a royal flush: Keep the two pair
J J 4 7 9 — High pair or 4 to a flush: Keep High pair
Q Q J K 2 — High pair or 3 to a royal flush: Keep High pair
8 J Q K 9 — 4 to a flush or 3 to a royal flush: Keep the 4 to a flush
2 5 7 9 7 — 4 to a flush or Low pair: Keep 4 to a flush
T J Q K 5 — 3 to a royal flush or 4 to an outside straight: Keep 3 to a royal flush
T Q A T 8 — 3 to a royal flush or Low pair: Keep 3 to a royal flush
7 7 8 9 T — 4 to an outside straight or Low pair: Keep 4 to an outside straight
7 8 9 T 4 — 4 to an outside straight or 3 to a straight flush (type 1): Keep 4 to an outside straight
7 7 8 9 3 — Low pair or 3 to a straight flush (type 1): Keep the low pair
K Q J 9 9 — Low pair or 4 to an inside straight with 3 high cards: Keep the low pair
A K Q J 8 — AKQJ unsuited or 3 to a straight flush (type 1): Keep AKQJ unsuited
A K Q J 9 — AKQJ unsuited or 4 to an inside straight with 3 high cards: Keep AKQJ unsuited
A K Q J 2 — AKQJ unsuited or QJ suited: Keep AKQJ unsuited
2 Q J 9 8 — 3 to a straight flush (type 1) or 4 to an inside straight with 2 high cards: Keep 3 to a straight flush (type 1)
8 T J 3 5 — 3 to a straight flush (type 1) or JT suited: Keep 3 to a straight flush (type 1)
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
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
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
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
Q J 7 5 4 — QJ suited or 3 to a flush with 2 high cards: Keep QJ suited
8 9 J Q 2 — QJ suited or 4 to an inside straight with 2 high cards: Keep QJ suited
Q J 2 3 4 — QJ suited or 3 to a straight flush (type 2 or 3): Keep QJ suited
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
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
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
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
A J 2 3 5 — 2 suited high cards (except QJ) or 3 to a straight flush (type 2 or 3): Keep 2 suited high cards
8 9 J Q 4 — 4 to an inside straight with 2 high cards or 3 to a straight flush (type 2 or 3): Keep 4 to an inside straight with 2 high cards
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
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)
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
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
A 2 4 5 7 — 4 to an inside straight with 1 high card or 3 to a straight flush (type 3): Keep 4 to an inside straight with 1 high card
Q J T 2 4 — JT suited or QJ unsuited: Keep JT suited
J T 6 7 2 — JT suited or 3 to a flush with 1 high card: Keep JT suited
J T 2 4 6 — JT suited or 3 to a straight flush (type 3): Keep JT suited
J T K 3 7 — JT suited or KQ, KJ unsuited: Keep JT suited
J T A 4 6 — JT suited or Ace: Keep JT suited
6 7 8 T J — JT suited or 4 to an inside straight with no high cards: Keep JT suited
J T 2 5 7 — JT suited or 3 to a flush with no high cards: Keep JT suited
Q J 9 4 2 — QJ unsuited or 3 to a flush with 1 high card: Keep QJ unsuited
Q J T 3 5 — QJ unsuited or QT suited: Keep QJ unsuited
Q J 5 6 9 — QJ unsuited or 3 to a straight flush (type 3): Keep QJ unsuited
A Q J 4 7 — QJ unsuited or Ace: Keep QJ unsuited
Q J 2 5 7 — QJ unsuited or 3 to a flush with no high cards: Keep QJ unsuited
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
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
A 5 9 8 6 — 3 to a flush with 1 high card or Ace: Keep 3 to a flush with 1 high card
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
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
Q T 2 4 6 — QT suited or 3 to a straight flush (type 3): Keep QT suited
K Q T 4 5 — QT suited or KQ unsuited: Keep QT suited
A Q T 6 9 — QT suited or Jack/King/Ace: Keep QT suited
Q T 8 7 6 — QT suited or 4 to an inside straight with no high cards: Keep QT suited
Q T 3 7 8 — QT suited or 3 to a flush with no high cards: Keep QT suited
5 6 9 K Q — 3 to a straight flush (type 3) or KQ, KJ unsuited: Keep 3 to a straight flush (type 3)
3 5 7 J 8 — 3 to a straight flush (type 3) or Jack/Queen/King/Ace: Keep 3 to a straight flush (type 3)
2 3 6 T K — 3 to a straight flush (type 3) or KT suited: Keep 3 to a straight flush (type 3)
2 3 5 6 9 — 3 to a straight flush (type 3) or 4 to an inside straight with no high cards: Keep 3 to a straight flush (type 3)
A K J 7 4 — KQ, KJ unsuited or Ace: Keep KQ, KJ unsuited
K Q T 4 6 — KQ, KJ unsuited or KT suited: Keep KQ, KJ unsuited
K J 3 8 9 — KQ, KJ unsuited or 3 to a flush with no high cards: Keep KQ, KJ unsuited
A K T 4 5 — Ace or KT suited: Keep Ace
A J 5 8 9 — Ace or Jack, Queen, King: Keep Ace
A 5 6 7 9 — Ace or 4 to an inside straight with no high cards: Keep Ace
A 2 5 9 6 — Ace or 3 to a flush with no high cards: Keep Ace
K 6 7 9 T — KT suited or 4 to an inside straight with no high cards: Keep KT suited
K T 3 5 8 — KT suited or 3 to a flush with no high cards: Keep KT suited
J 2 3 4 6 — Jack/Queen/King or 4 to an inside straight with no high cards: Keep Jack/Queen/King
Q 2 5 7 9 — Jack/Queen/King or 3 to a flush with no high cards: Keep Jack/Queen/King
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.
Double Bonus Strategy
Q
K
J
A