The wheel shown is spun twice, and the randomly determined numbers opposite the pointer are recorded. The first number is divided by 4 , and the second number is divided by 5 . The first remainder designates a column, and the second remainder designates a row on the checkerboard shown. What is the probability that the pair of numbers designates a shaded square?

**Answer Choices**

A. \dfrac{1}{3}

B. \dfrac{4}{9}

C. \dfrac{1}{2}

D. \dfrac{5}{9}

E. \dfrac{2}{3}