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A stick is broken at two points, at random.  If the length of the stick is 6, then what is the probability that all three resulting pieces are shorter than 3 units?

 Dec 14, 2022
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The probability that all three resulting pieces are shorter than 3 units is 1/8. This is because the two points of breakage can be anywhere along the 6-unit length of the stick, and there are 8 possible combinations of breakage points that would result in all three pieces being shorter than 3 units.

 Dec 14, 2022

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