Difference between revisions of "2020 AMC 12B Problems/Problem 16"

Latest revision as of 21:17, 12 February 2020

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-==Problem==
+#REDIRECT [[2020 AMC 10B Problems/Problem 18]]
-An urn contains one red ball and one blue ball. A box of extra red and blue balls lie nearby. George performs the following operation four times: he draws a ball from the urn at random and then takes a ball of the same color from the box and returns those two matching balls to the urn.
-After the four iterations the urn contains six balls. What is the probability that the urn contains three balls of each color?
-<math>\textbf{(A)}\ \frac{1}{6} \qquad\textbf{(B)}\ \frac{1}{5} \qquad\textbf{(C)}\ \frac{1}{4} \qquad\textbf{(D)}\ \frac{1}{3} \qquad\textbf{(E)}\ \frac{1}{2}</math>