chance vs risk

chance and risk both are nouns.

Word	Noun	Adjective	Verb	Adverb
chance	Yes	Yes	Yes	No
risk	Yes	No	Yes	No

As nouns, risk is a hypernym of chance; that is, risk is a word with a broader meaning than chance:

Other hypernyms of chance include danger, peril.

As nouns, risk is a hyponym of chance; that is, risk is a word with a more specific, narrower meaning than chance:

chance: a measure of how likely it is that some event will occur; a number expressing the ratio of favorable cases to the whole number of cases possible
risk: the probability of being exposed to an infectious agent

As verbs, chance and risk are synonyms defined as:

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

chance (noun)	risk (noun)
a risk involving danger	a venture undertaken without regard to possible loss or injury
a measure of how likely it is that some event will occur; a number expressing the ratio of favorable cases to the whole number of cases possible	the probability of being exposed to an infectious agent
an unknown and unpredictable phenomenon that causes an event to result one way rather than another	the probability of becoming infected given that exposure to an infectious agent has occurred
a possibility due to a favorable combination of circumstances	a source of danger; a possibility of incurring loss or misfortune
the possibility of future success

chance (adjective)	risk (adjective)
occurring or appearing or singled out by chance

chance (verb)	risk (verb)
come upon, as if by accident; meet with	expose to a chance of loss or damage
take a risk in the hope of a favorable outcome	take a risk in the hope of a favorable outcome
be the case by chance