olymmath

HMMT November 2017 U17

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A standard deck of 54 playing cards (with four cards of each of thirteen ranks, as well as two Jokers) is shuffled randomly. Cards are drawn one at a time until the first queen is reached. What is the probability that the next card is also a queen?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2}{27}

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