Every player takes a turn drawing a card from either the draw or discard pile, followed by the discarding of a card from their hand. Until one player runs out or forms alrummyeastl of their cards into sets, or until the draw pile runs out and no player can leave the game, it goes on. The value of the cards that are still in the losing player's hand determines how many points are awarded at that point. Ability & Plan. Gin Rummy is a popular game for players of all ages because it requires skill, strategy, and luck.