luck out vs win

luck out is not a noun while win is a noun.

Word	Noun	Adjective	Verb	Adverb
luck out	No	No	Yes	No
win	Yes	No	Yes	No

As verbs, win is a hypernym of luck out; that is, win is a word with a broader meaning than luck out:

Other hypernyms of luck out include bring home the bacon, come through, deliver the goods, succeed.

luck out (noun)	win (noun)
	a victory (as in a race or other competition)
	something won (especially money)

luck out (verb)	win (verb)
succeed by luck	be the winner in a contest or competition; be victorious
	obtain advantages, such as points, etc.
	win something through one's efforts
	acquire or deserve by one's efforts or actions
	attain success or reach a desired goal