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In: Advanced Math

Assume that you are breaking a stick into 3 pieces by uniformly and independently selecting two...

Assume that you are breaking a stick into 3 pieces by uniformly and independently selecting two break points ? and ?. If we denote the event that these pieces form a triangle by T and lengths of the three pieces by ?, ? and ?, calculate: a. ?(? ∩ (? < ? < ?)), b. The probability that the pieces form an equilateral triangle.

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