prospect vs belief

prospect and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
prospect	Yes	No	Yes	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of prospect; that is, belief is a word with a broader meaning than prospect:

prospect (noun)	belief (noun)
a prediction of the course of a disease	any cognitive content held as true
the visual percept of a region	a vague idea in which some confidence is placed
belief about (or mental picture of) the future
someone who is considered for something (for an office or prize or honor etc.)
the possibility of future success

prospect (verb)	belief (verb)
explore for useful or valuable things or substances, such as minerals
search for something desirable