Romanian word aleatoriu comes from Latin alea, and later Latin aleator (Gambler, gamester.)

Detailed word origin of aleatoriu

Dictionary entry	Language	Definition
alea	Latin (lat)	(gambling) the game of chance. (games) a die. (games) any game involving dice.
aleator	Latin (lat)	Gambler, gamester.
aleatorius	Latin (lat)	Of or pertaining to a gamester.
aleatoriu	Romanian (ron)	Aleatory, random.