luck through vs risk

luck through is not a noun while risk is a noun.

Word	Noun	Adjective	Verb	Adverb
luck through	No	No	Yes	No
risk	Yes	No	Yes	No

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

Other hypernyms of luck through include adventure, chance, gamble, hazard, run a risk, take a chance, take chances.

luck through (noun)	risk (noun)
	a venture undertaken without regard to possible loss or injury
	the probability of being exposed to an infectious agent
	the probability of becoming infected given that exposure to an infectious agent has occurred
	a source of danger; a possibility of incurring loss or misfortune

luck through (verb)	risk (verb)
act by relying on one's luck	expose to a chance of loss or damage
	take a risk in the hope of a favorable outcome