An ordered list of four numbers is called a quadruple.
A quadruple (p,q,r,s) of integers with p,q,r,s\ge0 is chosen at random such
2 p+q+r+s=4
What is the probability that $p+q+r+s=3$?
Answer Choices
A. \frac{3}{22}
B. \frac{3}{11}
C. \frac{3}{19}
D. \frac{6}{19}
E. \frac27