A region S in the complex plane is defined by
S=\{x+i y:-1 \leq x \leq 1,-1 \leq y \leq 1\}
A complex number z=x+i y is chosen uniformly at random from S. What is the probability that \left(\dfrac{3}{4}+\dfrac{3}{4} i\right) z is also in S ?
Answer Choices
A. \dfrac{1}{2}
B. \dfrac{2}{3}
C. \dfrac{3}{4}
D. \dfrac{7}{9}
E. \dfrac{7}{8}