deal out vs lot

deal out is not a noun while lot is a noun.

Word	Noun	Adjective	Verb	Adverb
deal out	No	No	Yes	No
lot	Yes	No	Yes	No

As verbs, deal out and lot are synonyms defined as:

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

deal out (noun)	lot (noun)
	anything (straws or pebbles etc.) taken or chosen at random
	an unofficial association of people or groups
	any collection in its entirety
	a parcel of land having fixed boundaries
	(often followed by `of') a large number or amount or extent
	your overall circumstances or condition in life (including everything that happens to you)

deal out (verb)	lot (verb)
administer or bestow, as in small portions	administer or bestow, as in small portions
	divide into lots, as of land, for example