A point P is randomly selected from the rectangular region with vertices (0,0),(2,0), (2,1),(0,1). What is the probability that P is closer to the origin than it is to the point (3,1) ?
Answer Choices
A. \dfrac{1}{2}
B. \dfrac{2}{3}
C. \dfrac{3}{4}
D. \dfrac{4}{5}
E. 1