MathDB
2006 SMT Team Round #7 - Greater Than or Equal to 2500?

Source:

August 22, 2011
probability

Problem Statement

Let SS be the set of all 3-tuples (a,b,c)(a,b,c) that satisfy a+b+c=3000a+b+c=3000 and a,b,c>0a,b,c>0. If one of these 3-tuples is chosen at random, what's the probability that a,ba,b or cc is greater than or equal to 2,500?
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