hard cheese vs bad luck

hard cheese and bad luck both are nouns.

Word	Noun	Adjective	Verb	Adverb
hard cheese	Yes	No	No	No
bad luck	Yes	No	No	No

As nouns, bad luck is a hypernym of hard cheese; that is, bad luck is a word with a broader meaning than hard cheese:

Other hypernyms of hard cheese include ill luck, misfortune, tough luck.

hard cheese (noun)	bad luck (noun)
bad luck	unnecessary and unforeseen trouble resulting from an unfortunate event
	an unpredictable outcome that is unfortunate
	an unfortunate state resulting from unfavorable outcomes