gaming house vs casino

gaming house and casino both are nouns.

Word	Noun	Adjective	Verb	Adverb
gaming house	Yes	No	No	No
casino	Yes	No	No	No

As nouns, casino is a hyponym of gaming house; that is, casino is a word with a more specific, narrower meaning than gaming house:

gaming house: a public building in which a variety of games of chance can be played (operated as a business)
casino: a public building for gambling and entertainment

Other hyponyms of gaming house include gambling casino.

gaming house (noun)	casino (noun)
a public building in which a variety of games of chance can be played (operated as a business)	a card game in which cards face up on the table are taken with eligible cards in the hand
	a public building for gambling and entertainment