run a risk vs adventure

run a risk is not a noun while adventure is a noun.

Word	Noun	Adjective	Verb	Adverb
run a risk	No	No	Yes	No
adventure	Yes	No	Yes	No

As verbs, run a risk and adventure are synonyms defined as:

run a risk and adventure: take a risk in the hope of a favorable outcome

Other synonyms of run a risk include chance, gamble, hazard, risk, take a chance, take chances.

run a risk (noun)	adventure (noun)
	a wild and exciting undertaking (not necessarily lawful)

run a risk (verb)	adventure (verb)
take a risk in the hope of a favorable outcome	put at risk
	take a risk in the hope of a favorable outcome