table game vs bagatelle

table game and bagatelle both are nouns.

Word	Noun	Adjective	Verb	Adverb
table game	Yes	No	No	No
bagatelle	Yes	No	No	No

As nouns, bagatelle is a hyponym of table game; that is, bagatelle is a word with a more specific, narrower meaning than table game:

table game: a game that is played on a table
bagatelle: a table game in which short cues are used to knock balls into holes that are guarded by wooden pegs; penalties are incurred if the pegs are knocked over

table game (noun)	bagatelle (noun)
a game that is played on a table	a table game in which short cues are used to knock balls into holes that are guarded by wooden pegs; penalties are incurred if the pegs are knocked over
	something of little value or significance
	a light piece of music for piano