The difference between At random and Haphazardly
At random is also phrase with the meaning: randomly, haphazardly.
Haphazardly is also adverb with the meaning: in a haphazard manner.
check bellow for the other definitions of At random and Haphazardly
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Haphazardly as an adverb:
In a haphazard manner; in a random, chaotic, and incomplete manner.