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plz show me the full process with clear hand writing thx P9.2 A unit length, thin rod breaks in two places, each break independently uniformly

plz show me the full process with clear hand writing thx

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P9.2 A unit length, thin rod breaks in two places, each break independently uniformly distributed on [0, 1). Let a be a small number. Show that the probability that one of the three pieces into which the rod breaks has length less than a is approximately ka as a -> 0 where k is a constant you should determine

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