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HMMT November 2021 H2

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Let nn be the answer to this problem. An urn contains white and black balls. There are nn white balls and at least two balls of each color in the urn. Two balls are randomly drawn from the urn without replacement. Find the probability, in percent, that the first ball drawn is white and the second is black.

Dataset text NuminaMath olympiads. Quoted with source.

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