The Rules of Rummy Playing. Each player is dealt a hand of cards at the start of the game, and the draw pile is formed by the remaining cards being arranged face down in the middle of the table. Every playerlucky vegas slots takes a turn drawing cards from either the draw or discard pile, followed by the discarding of a card from their hand. In this way, the game goes on until one player wins by declaring "Rummy" after they have formed sets and run with all of their cards. Calculating & Securing Victory. The number of cards left in each player's hand determines how many points they score, with a higher score going to the winner.