Every player takes a turn drawing cards from either the draw or discard pile, followed by the discarding of a card from their hand. Untifairplay registrationl one player forms all of their cards into sets and runs, the game goes on. At that point, that player declares "Rummy" & wins. Taking the Game. The player who successfully forms all of their cards into sets and runs declares "Rummy" to win, marking the end of the game.