'randomly-separated' originates from the combination of 'randomly' and 'separated'. 'Randomly' comes from 'random', which originates from Old French 'randir', meaning 'to gallop', and 'separated' comes from Latin 'separatus', the past participle of 'separare', meaning 'to divide'.

'Randomly-separated' evolved from the combination of 'randomly' and 'separated', which were used independently in Middle English and later combined in modern English to describe a state of being divided without order.

Initially, 'randomly' meant 'without definite aim or direction', and 'separated' meant 'set apart'. Together, they evolved to describe a state of being divided without a specific pattern.