MathForces: Math Olympiads
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MathForces Store

Author: mathforces
Problem has been solved: 16 times

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The MathForces store sells 50 blue, 50 red, and 30 green pens. Lin randomly bought 65 pens and it turned out that he bought 5 blue pens less than red ones. Let the irreducible fraction $ \frac{n}{m} $ be the probability that the next (randomly) purchased pen will turn out to be red. What is $ n^2m^2 $?

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