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A stick has a length of  units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than  unit?

 Aug 8, 2020
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For the first break, the probability that you get a piece that is 1 or longer is 4/5.  Then for the second break, the probability that you get a piece that is 1 or longer is 3/5.  Therefore, the probability is 4/5*3/5 = 12/25.

 Aug 15, 2020

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