Final answer:
The question lacks context to accurately determine which game is not played by patients. Additional information regarding the setting and purpose of the games is required to provide a definitive answer.
Step-by-step explanation:
The question appears to be incomplete as it's lacking context. To determine which game patients do not play (Yahtzee, Monopoly, Backgammon, Cards), further information would be necessary. In a healthcare setting, the games patients play can depend on various factors, including the facility's resources, the patients' abilities, and the therapeutic goals of certain activities. Without additional details, it is impossible to answer decisively which game is not played. When games are used in a health context, they're often part of a recreational therapy program designed to improve patients' mental and physical well-being. Recreational therapists would choose games that meet the needs and capabilities of their patients, and accordingly, might exclude games that are not suitable for therapeutic purposes or the current patient population.