at random vs haphazardly

at random and haphazardly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
at random	No	No	No	Yes
haphazardly	No	No	No	Yes

As adverbs, at random and haphazardly are synonyms defined as:

Other synonyms of at random include arbitrarily, every which way, indiscriminately, randomly, willy-nilly.

at random (adverb)	haphazardly (adverb)
in a random manner	in a random manner
	without care; in a slapdash manner