unlikely vs far-fetched

unlikely and far-fetched both are adjectives.

Word	Noun	Adjective	Verb	Adverb
unlikely	No	Yes	No	No
far-fetched	No	Yes	No	No

unlikely (adjective)	far-fetched (adjective)
has little chance of being the case or coming about	(of an idea or story) so exaggerated or ludicrous as to be improbable
not likely to be true or to occur or to have occurred	(of a theory or explanation) highly imaginative but unlikely and unconvincing
having a probability too low to inspire belief