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# 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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## Basic Video Poker Info

• My main Video Poker page
• Return tables:
• Probability of Ruin for single-play video poker
• Random simulations of multi-play video poker
• The standard deviation of n-play video poker

## Video Poker Calculator

• Analyze the return for almost any video poker paytable

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