The term 'dependent on chance' can be described by the crossword solutions aleatory (8 letters), RELIANT (7 letters), and RELY (4 letters). Aleatory is an adjective meaning 'dependent on chance or randomness'. RELIANT is an adjective meaning 'depending on or needing something else for support'. RELY is a verb meaning 'to depend on with full trust or confidence'. All three words describe the concept of being dependent on chance, as they all refer to the idea of relying on something that is unpredictable or uncertain.