A roving motion; course without definite direction; lack of rule or method; chance.
(obsolete) Speed, full speed; impetuosity, force.
1548, Edward Hall, “The triumphant reigne of Kyng Henry the VIII”, in The Union of the two noble and Illustre Famelies of Lancastre and Yorke (Hall’s Chronicle), page 82v
1548, Edward Hall, “The triumphant reigne of Kyng Henry the VIII”, in The Union of the two noble and Illustre Famelies of Lancastre and Yorke (Hall’s Chronicle), page 82v: […] for coragiouſly the two kynges newely foughte with great randon and force, they ſhewed their vigors and ſtrengthes and did ſo nobly that their coũter parties had none aduaũtage.
(obsolete) The full range of a bullet or other projectile; hence, the angle at which a weapon is tilted to allow the greatest range.
(colloquial) An undefined, unknown or unimportant person; a person of no consequence.
The direction of a rake-vein.
A frame for composing type.

Occurring for no particular reason; haphazard, unpredictable.
Involving an outcome which is impossible to predict, but which may be represented by a probability distribution; in the ideal case, involving outcomes which are equally likely.
Pseudorandom; mimicking the result of random selection.
(informal) Selected for no particular reason; arbitrary; unspecified.
(informal) Being (part of) a varied, unrelated, and apparently arbitrary collection of things; diverse, heterogeneous.
(informal) Apropos of nothing; lacking context, relevance, or any connection to the previous situation; unexpected.
(informal) Of a person: characterized by or often saying random things; habitually using non sequiturs.
(slang) Being out of the ordinary; unusual or unexpected; odd, strange, bizarre.