randomly vs willy-nilly

randomly and willy-nilly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
randomly	No	No	No	Yes
willy-nilly	No	No	No	Yes

As adverbs, randomly and willy-nilly are synonyms defined as:

Other synonyms of randomly include arbitrarily, at random, every which way, haphazardly, indiscriminately.

randomly (adverb)	willy-nilly (adverb)
in a random manner	in a random manner
	without having a choice