2008 Gauss 8 Problem 10

The numbers 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 are written on separate cards and placed face down on a table. A card is chosen at random and flipped over. What is the probability that the number on this card is a prime number?

\textbf{(A)}\ \frac{2}{11}\quad \textbf{(B)}\ \frac{4}{11}\quad \textbf{(C)}\ \frac{6}{11}\quad \textbf{(D)}\ \frac{3}{11}\quad \textbf{(E)}\ \frac{5}{11}

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 Gauss contests here.