take a chance vs run a risk

take a chance and run a risk both are verbs.

Word	Noun	Adjective	Verb	Adverb
take a chance	No	No	Yes	No
run a risk	No	No	Yes	No

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

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

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

take a chance (verb)	run a risk (verb)
take a risk in the hope of a favorable outcome	take a risk in the hope of a favorable outcome