A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probability that all three resulting pieces are shorter than 2 units?
If all three resulting pieces are shorter than 2 units, then the sum of the 3 pieces would be less than six, the length of our big stick. Therefore, there are no ways to make 3 pieces shorter than 2 units, so the probability is 0.
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