Strategy & Scoring System. In Rummy, it's also essential to comprehend the scoring system. Typically, a player's hand at the end of a round determines hrummy earningow many points they receive. For example, face cards—such as kings, queens, and jacks—frequently have higher point values than cards with numbers. Players earn points in the game over the course of several rounds, or until a predefined score is reached or a predetermined number of rounds are finished.