casino vs gaming house

casino and gaming house both are nouns.

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

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

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

Other hypernyms of casino include gambling den, gambling hell, gambling house.

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