'arbitrarily-chosen' originates from the combination of 'arbitrary' and 'chosen', where 'arbitrary' comes from Latin 'arbitrarius', meaning 'dependent on the will or judgment of another'.

'arbitrarius' transformed into the Old French word 'arbitraire', and eventually became the modern English word 'arbitrary'.

Initially, 'arbitrary' meant 'dependent on judgment', but over time it evolved into its current meaning of 'random or capricious'.