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

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Advance Math

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

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