One method for playing a poker game is provided. The poker game comprises dealing an initial hand from a deck of playing cards. A player is allowed to discard and replace as few as none, and as many as all, of the cards from the initial hand. The resulting hand is evaluated to determine whether the player has a three-of-a-kind, and if so, a second draw is triggered. The second draw provides the player with another opportunity to obtain a four-of-a-kind without the need for an additional wager, by allowing the player to discard at least one card and draw a replacement card for each card discarded.