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HMMT November 2013 E4

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A 50 -card deck consists of 4 cards labeled " ii " for i=1,2,…,12i=1,2, \ldots, 12 and 2 cards labeled " 13 ". If Bob randomly chooses 2 cards from the deck without replacement, what is the probability that his 2 cards have the same label?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{73}{1225}

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