deal vs distribute

deal is a noun but distribute is not a noun.

Word	Noun	Adjective	Verb	Adverb
deal	Yes	No	Yes	No
distribute	No	No	Yes	No

As verbs, deal and distribute are synonyms defined as:

Other synonyms of deal include administer, allot, deal out, dish out, dispense, dole out, lot, mete out, parcel out, shell out.

As verbs, distribute is a hypernym of deal; that is, distribute is a word with a broader meaning than deal:

As verbs, distribute is a hypernym of deal; that is, distribute is a word with a broader meaning than deal:

Other hypernyms of deal include give out, hand out, pass out.

deal (noun)	distribute (noun)
the act of distributing playing cards
the act of apportioning or distributing something
a particular instance of buying or selling
an agreement between parties (usually arrived at after discussion) fixing obligations of each
the type of treatment received (especially as the result of an agreement)
the cards held in a card game by a given player at any given time
(often followed by `of') a large number or amount or extent
a plank of softwood (fir or pine board)
wood that is easy to saw (from conifers such as pine or fir)

deal (verb)	distribute (verb)
take into consideration for exemplifying purposes	cause to become widely known
act on verbally or in some form of artistic expression	to arrange in a systematic order
do business; offer for sale as for one's livelihood	distribute or disperse widely
administer or bestow, as in small portions	cause to be distributed
distribute cards to the players in a game	administer or bestow, as in small portions
give (a specific card) to a player	give to several people
give out as one's portion or share	release
sell (especially of illegal material)	be mathematically distributive
succeed in doing, achieving, or producing (something) with the limited or inadequate means available	be distributed or spread, as in statistical analyses
direct the course of; manage or control	spread throughout a given area
behave in a certain way towards others
take action with respect to (someone or something)
be in charge of, act on, or dispose of