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GRE
GRE Quantitative Reasoning Section

Probability of Drawing Cards

Hard Data Analysis Probability

A standard deck of 52 playing cards is laid out face down. Two players each draw one card, and both are replaced before the next round. The game continues until one player draws a heart, while the other does not.

Let $P(H)$ be the probability that the first player draws a heart on their turn and $P(NH)$ be the probability that the second player draws a non-heart card. What is the relationship between $P(H)$ and $P(NH)$?

Hint

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