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2015 AMC 12A Question 9

AMC12 · 2015 AMC 12A

Question 9

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?
  1. $\dfrac{1}{10}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{5}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{1}{2}$