'randomly-associated' originates from the combination of 'randomly' and 'associated'. 'Randomly' comes from 'random', which has roots in Old French 'randir', meaning 'to gallop', and 'associated' comes from Latin 'associatus', the past participle of 'associare', meaning 'to unite or join'.

'randomly' evolved from Middle English 'randoun', meaning 'impetuous headlong rush', and 'associated' evolved from Latin 'associatus'.

Initially, 'randomly' meant 'impetuous or headlong', but over time it evolved to mean 'without a specific pattern or order'. 'Associated' has largely retained its meaning of 'connected or linked'.