# Probability of drawing without replacement at least one identical pair from two urns with k balls of k colors

by gnebehay   Last Updated September 11, 2019 17:19 PM

Given two urns with an identical set of $$n$$ balls of $$n$$ different colors, where $$n$$ is even. After drawing without replacement $$n/2$$ pairs from the first urn, what is the probability of drawing (again without replacement) at least one identical pair from the second urn?

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