gambling house vs gaming house

gambling house and gaming house both are nouns.

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

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

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

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

gambling house (noun)	gaming 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)