misfortune vs bad luck

misfortune and bad luck both are nouns.

Word	Noun	Adjective	Verb	Adverb
misfortune	Yes	No	No	No
bad luck	Yes	No	No	No

As nouns, misfortune and bad luck are synonyms defined as:

misfortune and bad luck: unnecessary and unforeseen trouble resulting from an unfortunate event

As nouns, misfortune and bad luck are synonyms defined as:

misfortune and bad luck: an unfortunate state resulting from unfavorable outcomes

Other synonyms of misfortune include ill luck, tough luck.

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