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AMC 12 2015a Problem 9

  • Paper

A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color?

\textbf{(A)}\ \frac{1}{10} \textbf{(B)}\ \frac16 \textbf{(C)}\ \frac15 \textbf{(D)}\ \frac13 \textbf{(E)}\ \frac12

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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