Double Draw Poker is a variation of video poker designed by Bally, which I first encountered at the Suncoast on November 7, 2006. This game is similar to traditional video poker but includes a unique element: players who are dealt three of a kind or a full house receive two opportunities to draw new cards.
When dealt a three of a kind or a full house, the optimal strategy is to preserve the three of a kind, even if it means letting go of a full house. After the second draw, if a four of a kind is achieved, it should be retained. If the first draw results in a full house, it's wise to keep that as well; however, if it involves three aces, the pair should be discarded. Following the first draw, a player should always discard any two unmatched cards if they still hold a three of a kind.
In the 7/5 Double Bonus variant, three of a kind and full house draws account for 14.325% of the game's overall return. Conversely, in 7/5 Double Draw Poker (the version offered at the Suncoast), these draws contribute 19.450% to the return. Thus, the second draw enhances the return by an additional 5.125%.
The subsequent two tables illustrate the returns of various hands, categorized by whether they were achieved through standard play or as a result of being dealt a three of a kind or full house. When contrasting 7/5 Double Draw with 10/7, it's notable that the former yields 43.4% more four of a kinds. The pay table at the Suncoast supports the 7/5 configuration. Double Bonus Analyzing the standard deviation for n-play video poker.