Solved: Three legs are positioned uniformly and independently on, Basic Statistics

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Three legs are positioned uniformly and independently on

Question: (a) A stick is broken into three pieces by picking two points independently and uniformly along the stick, and breaking the stick at those two points. What is the probability that the three pieces can be assembled into a triangle?

(b) Three legs are positioned uniformly and independently on the perimeter of a round table. What is the probability that the table will stand?

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Basic Statistics: Three legs are positioned uniformly and independently on

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