2017 Pascal Problem 16

A circular spinner is divided into six regions, as shown. Four regions each have a central angle of x^\circ. The remaining regions have central angles of 20^\circ and 140^\circ. An arrow is attached to the centre of the circle. The arrow is spun once. What is the probability that the arrow stops on a shaded region?

\textbf{(A)}\ \frac{2}{3}\quad \textbf{(B)}\ \frac{7}{8}\quad \textbf{(C)}\ \frac{1}{2}\quad \textbf{(D)}\ \frac{5}{12}\quad \textbf{(E)}\ \frac{7}{12}

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.