MathForces: Math Olympiads
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Random numbers

Author: mathforces
Problem has been solved: 14 times

Русский язык | English Language



The numbers $ a $, $ b $ and $ c $ are randomly selected on the segment $ [0,1] $. Let the irreducible fraction $ \frac{m}{n} $ be the probability that $ | a-b | <\frac{1}{2} $ and $ | a-c | <\frac{1}{2} $. What is the value of $m^2+n^2+m^2n^2$?





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