game of chance vs gaming

game of chance and gaming both are nouns.

Word	Noun	Adjective	Verb	Adverb
game of chance	Yes	No	No	No
gaming	Yes	No	No	No

As nouns, gaming is a hypernym of game of chance; that is, gaming is a word with a broader meaning than game of chance:

game of chance: a game that involves gambling
gaming: the act of playing for stakes in the hope of winning (including the payment of a price for a chance to win a prize)

Other hypernyms of game of chance include gambling, play, game.

game of chance (noun)	gaming (noun)
a game that involves gambling	the act of playing for stakes in the hope of winning (including the payment of a price for a chance to win a prize)