2025 Gauss 8 Problem 10

An integer from 3 to 20, inclusive, is randomly selected. What is the probability that the integer selected is a perfect square?

\textbf{(A)}\ \frac{3}{20}\quad \textbf{(B)}\ \frac{1}{9}\quad \textbf{(C)}\ \frac{1}{6}\quad \textbf{(D)}\ \frac{1}{10}\quad \textbf{(E)}\ \frac{2}{9}

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.