run a risk vs hazard

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

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

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

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

run a risk (noun)	hazard (noun)
	an obstacle on a golf course
	an unknown and unpredictable phenomenon that causes an event to result one way rather than another
	a source of danger; a possibility of incurring loss or misfortune

run a risk (verb)	hazard (verb)
take a risk in the hope of a favorable outcome	put forward, of a guess, in spite of possible refutation
	take a risk in the hope of a favorable outcome
	put at risk