Double Draw Poker
Introduction
Double Draw Poker is a video poker variation by Bally. I noticed it at the Suncoast on November 7, 2006. The game plays like conventional video poker, with the following exception: if the player gets a three of a kind or a full house on the deal, he gets TWO draws.
With a three of a kind or full house on the deal, the player should always keep the three of a kind only. This includes sacrificing any full house. On the second draw, if the player gets a four of a kind he should obviously keep it. If the player gets a full house on the first draw, he should keep that too; however, if the full house contains three aces, he should discard the pair. If the player has a three of a kind after the first draw, he should always discard the two singletons.
In 7/5 Double Bonus, three of a kind and full house draws contribute 14.325% of the game's return. In 7/5 Double Draw Poker (the game at the Suncoast), three of a kind and full house double draws contribute 19.450% to the return. So the second draw adds 5.125% to the return.
The following two tables show the return of all hands, broken down by whether it was obtained normally or as the result of a three of a kind or full house on the deal. Comparing 7/5 Double Draw to 10/7 Double Bonus , the former will generate 43.4% more four of a kinds. The Suncoast features the 7/5 pay table.
"6/5" Double Draw PokerExpand
Hand
Payoff
Single
Draw
Combinations
Double
Draw
Combinations
Total
Combinations
Probability
Return
Royal Flush
800
3001849488
0
3001849488
0.000025
0.020079
Straight Flush
50
12991323672
0
12991323672
0.000109
0.005431
Four A
160
17788263048
17670977280
35459240328
0.000296
0.047437
Four 2-4
80
38204132256
51321029760
89525162016
0.000749
0.059883
Four 5-K
50
120893159088
153963089280
274856248368
0.002298
0.114907
Full House
6
981094949784
300467914560
1281562864344
0.010715
0.064293
Flush
5
1304164271160
0
1304164271160
0.010904
0.054522
Straight
4
1569996955512
0
1569996955512
0.013127
0.052509
Three of a kind
3
6682645102680
2175818768640
8858463871320
0.074068
0.222203
Two pair
1
14672503914840
0
14672503914840
0.12268
0.12268
Pair
1
25815621160728
0
25815621160728
0.215851
0.215851
Nonpaying hand
0
65681236241424
0
65681236241424
0.549177
0
Total
116900141323680
2699241779520
119599383103200
1
0.979796
"7/5" Double Draw PokerExpand
Hand
Payoff
Single
Draw
Combinations
Double
Draw
Combinations
Total
Combinations
Probability
Return
Royal Flush
800
2989174464
0
2989174464
0.000025
0.019995
Straight Flush
50
12960258408
0
12960258408
0.000108
0.005418
Four A
160
17956635912
17670977280
35627613192
0.000298
0.047663
Four 2-4
80
38215184976
51321029760
89536214736
0.000749
0.059891
Four 5-K
50
120923196480
153963089280
274886285760
0.002298
0.11492
Full House
7
981767475288
300467914560
1282235389848
0.010721
0.075048
Flush
5
1305867219768
0
1305867219768
0.010919
0.054593
Straight
4
1566886317624
0
1566886317624
0.013101
0.052404
Three of a kind
3
6690119992200
2175818768640
8865938760840
0.07413
0.222391
Two pair
1
14681104026984
0
14681104026984
0.122752
0.122752
Pair
1
25766618360040
0
25766618360040
0.215441
0.215441
Nonpaying hand
0
65714733481536
0
65714733481536
0.549457
0
Total
116900141323680
2699241779520
119599383103200
1
0.990516
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Written by:
Michael Shackleford