Many people mistake familiarity for a vulgar style, and suppose that to write without affectation is to write at random speed.
Explanation:
'To write at random' is more concise than 'to write at a random speed' and conveys the meaning perfectly. ‘writing without affectation’ in no sense means writing ‘fast’ or ‘with speed’. We choose (a) over (b) because of the parallel construction with ‘write without affectation’.
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