bad luck vs fortune

bad luck and fortune both are nouns.

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

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

bad luck: an unpredictable outcome that is unfortunate
fortune: an unknown and unpredictable phenomenon that causes an event to result one way rather than another

Other hypernyms of bad luck include chance, hazard, luck.

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

bad luck: an unfortunate state resulting from unfavorable outcomes
fortune: your overall circumstances or condition in life (including everything that happens to you)

Other hypernyms of bad luck include circumstances, destiny, fate, lot, luck, portion.

bad luck (noun)	fortune (noun)
unnecessary and unforeseen trouble resulting from an unfortunate event	an unknown and unpredictable phenomenon that causes an event to result one way rather than another
an unpredictable outcome that is unfortunate	an unknown and unpredictable phenomenon that leads to a favorable outcome
an unfortunate state resulting from unfavorable outcomes	a large amount of wealth or prosperity
	your overall circumstances or condition in life (including everything that happens to you)