Collocations for random - adj.

be, seem

completely, entirely, purely, quite, totally
almost
fairly, pretty, somewhat
truly
essentially
apparently, seemingly
a seemingly random sequence of numbers

Random is used with these nouns:
act, allocation, chance, check, collection, direction, distribution, encounter, error, fashion, fluctuation, killing, luck, movement, murder, mutation, nature, number, occurrence, order, pattern, sample, search, selection, sequence, shape, shot, thought, variation, violence