2015 Cayley Problem 5

The bar graph shows the number of provinces and territories that joined Canadian Confederation during each of four 40 year time periods.

If one of the 13 provinces or territories is chosen at random, what is the probability that it joined Canadian Confederation between 1890 and 1969?

\textbf{(A)}\ \frac{12}{13}\quad \textbf{(B)}\ \frac{4}{13}\quad \textbf{(C)}\ \frac{5}{13}\quad \textbf{(D)}\ \frac{3}{13}\quad \textbf{(E)}\ \frac{2}{13}

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 Cayley contests here.