dexterity vs facility

dexterity and facility both are nouns.

Word	Noun	Adjective	Verb	Adverb
dexterity	Yes	No	No	No
facility	Yes	No	No	No

As nouns, facility is a hypernym of dexterity; that is, facility is a word with a broader meaning than dexterity:

Other hypernyms of dexterity include adeptness, adroitness, deftness, quickness.

dexterity (noun)	facility (noun)
adroitness in using the hands	a service that an organization or a piece of equipment offers you
	something designed and created to serve a particular function and to afford a particular convenience or service
	a building or place that provides a particular service or is used for a particular industry
	a natural effortlessness
	skillful performance or ability without difficulty