2002 AMC 8 Problem 12

A board game spinner is divided into three regions labeled A, B and C. The probability of the arrow stopping on region A is \frac{1}{3} and on region B is \frac{1}{2}. The probability of the arrow stopping on region C is

\text{(A)}\ \frac{1}{12} \qquad \text{(B)}\ \frac{1}{6} \qquad \text{(C)}\ \frac{1}{5} \qquad \text{(D)}\ \frac{1}{3} \qquad \text{(E)}\ \frac{2}{5}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.