ballgame vs state of affairs

ballgame and state of affairs both are nouns.

Word	Noun	Adjective	Verb	Adverb
ballgame	Yes	No	No	No
state of affairs	Yes	No	No	No

As nouns, state of affairs is a hypernym of ballgame; that is, state of affairs is a word with a broader meaning than ballgame:

ballgame: a particular situation that is radically different from the preceding situation
state of affairs: the general state of things; the combination of circumstances at a given time

Other hypernyms of ballgame include situation.

ballgame (noun)	state of affairs (noun)
a field game played with a ball (especially baseball)	the general state of things; the combination of circumstances at a given time
a particular situation that is radically different from the preceding situation