base hit vs baseball game

base hit and baseball game both are nouns.

Word	Noun	Adjective	Verb	Adverb
base hit	Yes	No	No	No
baseball game	Yes	No	No	No

base hit (noun)	baseball game (noun)
(baseball) the successful act of striking a baseball in such a way that the batter reaches base safely	a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs