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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.
- Royal flush
- Four of a kind with a kicker - A,2,3,4 with any A,2,3,4
- Four of a kind (regular or Quick Quads)
- Straight flush
- 4 to a royal flush
- 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
- Three of a kind - Aces to 4's
- Full house
- 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
- Three of a kind (except Aces to 4's)
- Flush
- Two pair - AA22, 2244, 3366, 4488, 55TT
- Straight
- 4 to a straight flush, no gap (2345 to 9TJQ)
- One pair with two kickers - 3's with A2 or 4's with A3
- 4 to a straight flush, 1 gap, 1 or more high cards (A234 to 9JQK)
- 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
- 4 to a straight flush, 1 gap, no high cards
- One pair - Aces
- Two pair
- 3 to a royal flush - JQK
- One pair - JJ, QQ, KK
- 3 to a royal flush - TJQ, TJK, TQK, JQA, JKA, QKA
- 4 to a flush with 2 high cards
- 3 to a royal flush - TJA, TQA, TKA
- One pair with a kicker - 3's with any A,2; or 4's with any A,3
- 4 to a flush with 0 or 1 high cards
- One pair with a kicker - 2's with an Ace
- One pair - 2's through 10's
- Unsuited 89TJ, 9TJQ, TJQK
- Suited A23, A34, 9TJ, 9JQ
- Unsuited 2345, 3456, 4567, 5678, 6789, 789T
- Suited A45, 235
- Suited 8JQ, 9JK, 9QK
- Suited 89J, 8TJ, 9TQ
- Suited 345, 456, 567, 678, 789, 89T
- Unsuited JQKA
- Suited JQ
- Suited JK, QK
- 3 to a flush with 1 high card, Quick Quads possible - suited A56, A67, A78, A89, A9T
- Suited JA, QA, KA
- Suited 246, 347
- Unsuited 9JQK, TJQA, TJKA, TQKA
- Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
- Ace
- Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
- Unsuited JQK
- Unsuited 89JQ, 8TJQ, 9TJK, 9TQK
- Unsuited JQ
- Suited TJ
- 3 to a flush with no high cards, Quick Quads possible - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T
- Unsuited JK, QK
- Suited TQ, TK
- Jack, Queen or King
- Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
- Suited 34
- Discard everything
Other Quick Quads Pages
- Main Quick Quads page
- Strategy for 8/5 Bonus Poker Quick Quads
- Strategy for 9/7 Double Bonus Quick Quads
- Strategy for 9/6 Jacks or Better Quick Quads
- Strategy for 8/5 Triple Bonus Quick Quads
Acknowledgements
All credit for this strategy belongs to "JB," who I thank for his outstanding work.