Last Updated: March 18, 2006

# Double Down Stud

## Introduction

Double Down Stud is unique in that it is played roughly equally as a table game and an electronic game. That creates a problem in whether to address the pay tables on a "to one" (table games) or "for one" (electronic) basis in this section. So I have decided to do it both ways. As always, wins or losses are relative to the initial wager.

## Return Tables

### Double Down Stud - Jacks or Better

Hand Double Pays (to one) Pays (for one) Combinations Probability Return
Royal flush No 3999 4000 0 0 0
Straight flush No 199 200 0 0 0
Four of a kind No 49 50 0 0 0
Full house No 11 12 0 0 0
Flush No 8 9 0 0 0
Straight No 5 6 31248 0.002405 0.012023
Three of a kind No 3 4 50688 0.003901 0.011702
Two pair No 2 3 152064 0.011702 0.023404
Pair: J-A No 1 2 657720 0.050614 0.050614
Pair: 6-10 No 0 1 816480 0.062831 0
Loser No -1 0 8035992 0.618401 -0.618401
Royal flush Yes 7998 7999 20 0.000002 0.01231
Straight flush Yes 398 399 180 0.000014 0.005513
Four of a kind Yes 98 99 3120 0.00024 0.023529
Full house Yes 22 23 18720 0.001441 0.031693
Flush Yes 16 17 25540 0.001965 0.031446
Straight Yes 10 11 19752 0.00152 0.0152
Three of a kind Yes 6 7 223872 0.017228 0.103367
Two pair Yes 4 5 465696 0.035837 0.143348
Pair: J-A Yes 2 3 1031880 0.079407 0.158814
Pair: 6-10 Yes 0 1 1295520 0.099695 0
Loser Yes -2 -1 166308 0.012798 -0.025596
Total       12994800 1 -0.021033

### Double Down Stud - Jacks or Better

Hand Double Pays (to one) Pays (for one) Combinations Probability Return
Royal flush No 999 1000 0 0 0
Straight flush No 199 200 0 0 0
Four of a kind No 49 50 0 0 0
Full house No 11 12 0 0 0
Flush No 8 9 0 0 0
Straight No 5 6 31248 0.002405 0.012023
Three of a kind No 3 4 50688 0.003901 0.011702
Two pair No 2 3 152064 0.011702 0.023404
Pair: J-A No 1 2 657720 0.050614 0.050614
Pair: 6-10 No 0 1 816480 0.062831 0
Loser No -1 0 8035992 0.618401 -0.618401
Royal flush Yes 1998 1999 20 0.000002 0.003075
Straight flush Yes 398 399 180 0.000014 0.005513
Four of a kind Yes 98 99 3120 0.00024 0.023529
Full house Yes 22 23 18720 0.001441 0.031693
Flush Yes 16 17 25540 0.001965 0.031446
Straight Yes 10 11 19752 0.00152 0.0152
Three of a kind Yes 6 7 223872 0.017228 0.103367
Two pair Yes 4 5 465696 0.035837 0.143348
Pair: J-A Yes 2 3 1031880 0.079407 0.158814
Pair: 6-10 Yes 0 1 1295520 0.099695 0
Loser Yes -2 -1 166308 0.012798 -0.025596
Total       12994800 1 -0.030267

### Double Down Stud - Jacks or Better

Hand Double Pays (to one) Pays (for one) Combinations Probability Return
Royal flush No 999 1000 0 0 0
Straight flush No 399 400 0 0 0
Four of a kind No 99 100 0 0 0
Full house No 14 15 0 0 0
Flush No 9 10 0 0 0
Straight No 5 6 31248 0.002405 0.012023
Three of a kind No 3 4 63360 0.004876 0.014627
Two pair No 2 3 190080 0.014627 0.029255
Pair: J-A No 1 2 657720 0.050614 0.050614
Pair: 7-10 No 0 1 653184 0.050265 0
Loser No -1 0 8452728 0.65047 -0.65047
Royal flush Yes 1998 1999 20 0.000002 0.003075
Straight flush Yes 798 799 180 0.000014 0.011054
Four of a kind Yes 198 199 3120 0.00024 0.047539
Full house Yes 28 29 18720 0.001441 0.040336
Flush Yes 18 19 25540 0.001965 0.035377
Straight Yes 10 11 19752 0.00152 0.0152
Three of a kind Yes 6 7 211200 0.016253 0.097516
Two pair Yes 4 5 427680 0.032912 0.131647
Pair: J-A Yes 2 3 1031880 0.079407 0.158814
Pair: 7-10 Yes 0 1 1036416 0.079756 0
Loser Yes -2 -1 171972 0.013234 -0.026468
Total       12994800 1 -0.029861

### Double Down Stud - Bonus Deuces

Hand Double Pays (to one) Pays (for one) Combinations Probability Return
Natural royal flush No 999 1000 0 0 0
Four deuces plus ace No 799 800 0 0 0
Four deuces No 399 400 0 0 0
Wild royal flush No 79 80 0 0 0
Five aces No 199 200 0 0 0
Five 3-5 No 79 80 0 0 0
Five 6-K No 39 40 0 0 0
Straight flush No 11 12 0 0 0
Four of a kind No 5 6 0 0 0
Full house No 4 5 0 0 0
Flush No 3 4 0 0 0
Straight No 2 3 74592 0.00574 0.01148
Three of a kind No 1 2 547200 0.042109 0.042109
Two pair No 0 1 316800 0.024379 0
Kings or better No 0 1 681288 0.052428 0
Nothing No -1 0 7823640 0.602059 -0.602059
Natural royal flush Yes 1998 1999 20 0.000002 0.003075
Four deuces plus ace Yes 1598 1599 20 0.000002 0.002459
Four deuces Yes 798 799 220 0.000017 0.01351
Wild royal flush Yes 158 159 2400 0.000185 0.029181
Five aces Yes 398 399 260 0.00002 0.007963
Five 3-5 Yes 158 159 780 0.00006 0.009484
Five 6-K Yes 78 79 2080 0.00016 0.012485
Straight flush Yes 22 23 10340 0.000796 0.017505
Four of a kind Yes 10 11 157760 0.01214 0.121402
Full house Yes 8 9 63360 0.004876 0.039006
Flush Yes 6 7 72360 0.005568 0.03341
Straight Yes 4 5 236568 0.018205 0.072819
Three of a kind Yes 2 3 1228200 0.094515 0.189029
Two pair Yes 0 1 158400 0.012189 0
Kings or better Yes 0 1 1343352 0.103376 0
Nothing Yes -2 -1 275160 0.021175 -0.042349
Total       12994800 1 -0.039488

## Strategy

Here are the hands the player should raise on under the most liberal with the 2.10% house advantage.

Michael Shackleford, ASA

1. Players make an initial wager.
2. The dealer gives each player one card face up and deals four community cards, three up and one down. Each hand is dealt from a freshly shuffled single deck.
3. Each player has the option to double their bet or not.
4. The dealer turns over the down card.
5. Winning hands pay according to the payoff table.
• Any pat hand of a pair of 6's or greater
• Four to a flush, straight flush, or royal flush
• Four to any outside straight
• Unsuited JQKA (zero house edge)

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