MathForces: Math Olympiads
MathForces - Math Olympiadsβeta
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Problem has been solved: 162 times

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There are 2020 balls in the box numbered with consecutive natural numbers from 1 to 2020. Almas takes two balls out of the box and if the sum of the numbers on them is even, then he wins. The probability of his victory can be represented as an irreducible fraction $ \frac {m} {n} $, where $ m $ and $ n $ are natural numbers. What is $ m + n $ equal to?

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