gaming house vs gambling house

gaming house and gambling house both are nouns.

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

As nouns, gaming house and gambling house are synonyms defined as:

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

Other synonyms of gaming house include gambling den, gambling hell.

gaming house (noun)	gambling house (noun)
a public building in which a variety of games of chance can be played (operated as a business)	a public building in which a variety of games of chance can be played (operated as a business)