What is the difference between sports and games?

A sport is a physical activity carried out under an agreed set of rules, with a recreational purpose: for competition or self-enjoyment or a combination of these.

A game is a recreational activity involving one or more players, defined by a goal that the players try to reach, and some set of rules to play it. Games are played primarily for entertainment or enjoyment. The difference of purpose differentiates sport from game, combined with the notion of individual (or team) skill or prowess.