MathDB
2017 PUMaC Team 4

Source:

September 20, 2019
inequalities

Problem Statement

Ayase chooses three numbers a,b,ca, b, c independently and uniformly from the interval [−1,1][-1, 1]. The probability that 0<a+b<a<a+b+c0 < a + b < a < a + b + c can be expressed in the form pq\frac{p}{q}, where pp and qq are relatively prime positive integers. What is p+qp + q?
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