Game is a sports and gambling is a kind of game. You know we always use word play the gambling, its mean gambling is a game, we never say do the gambling. Because it is not a job or business, gambling is pure game, and nothing else. But in gambling we use money that's why we all are greedy with this game of gambling.
I'm not sure if the game is a sport. But I strongly agree if gambling is one type of game. Because gambling is a game. But if only the game, we do not need money to play, and for gambling we need money to play. And I also agree that gambling was not a job or business. Because gambling is just like what you say, gambling is pure game.
I think sports and game are different. I tried to search google and it gives this definition.
Sports
Physical activity that is governed by a set of rules or customs and often engaged in competitively.
A particular form of this activity.
An activity involving physical exertion and skill that is governed by a set of rules or customs and often undertaken competitively.
An active pastime; recreation.
Game
An activity providing entertainment or amusement; a pastime: party games; word games.
A competitive activity or sport in which players contend with each other according to a set of rules: the game of basketball;
the game of gin rummy.
A single instance of such an activity: We lost the first game.
GAMES: An organized athletic program or contest: track-and-field games; took part in the winter games. [like the Olympics]
A period of competition or challenge: It was too late in the game to change the schedule of the project.
The total number of points required to win a game: One hundred points is game in bridge.
The score accumulated at any given time in a game: The game is now 14 to 12.
The equipment needed for playing certain games: packed the children's games in the car.
A particular style or manner of playing a game: improved my tennis game with practice.
from:
http://english.stackexchange.com/questions/139670/difference-between-game-and-sportIn short sports is some kind of physical activity that was govern by set of rule while game is another kind of activity that provides entertainment.
So basically this three activity , sports, game, gambling are different from each other but were tied by some factor like amusement, wager and competition.
