'randomly-applied' originates from the combination of 'randomly' and 'applied', where 'randomly' comes from 'random', meaning 'without definite aim, direction, rule, or method', and 'applied' is the past participle of 'apply', meaning 'to put to use'.

'Randomly' evolved from the Middle English 'randoun', meaning 'impetuous headlong rush', and 'applied' from the Latin 'applicare', meaning 'to attach'.

Initially, 'randomly' meant 'impetuous rush', but over time it evolved to mean 'without a specific pattern', and 'applied' has retained its meaning of 'put to use'.