bagatelle vs table game

bagatelle and table game both are nouns.

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

As nouns, table game is a hypernym of bagatelle; that is, table game is a word with a broader meaning than bagatelle:

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: a game that is played on a table

bagatelle (noun)	table game (noun)
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	a game that is played on a table
something of little value or significance
a light piece of music for piano