2001 Pascal Problem 14

Twenty tickets are numbered from one to twenty. One ticket is drawn at random with each ticket having an equal chance of selection. What is the probability that the ticket shows a number that is a multiple of 3 or 5?

\textbf{(A)}\ \frac{3}{10}\quad \textbf{(B)}\ \frac{11}{20}\quad \textbf{(C)}\ \frac{2}{5}\quad \textbf{(D)}\ \frac{9}{20}\quad \textbf{(E)}\ \frac{1}{2}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.