14. (1994 American High School Mathematics Examination) A bag of popping corn, of which $\frac{2}{3}$ are white kernels and $\frac{1}{3}$ are yellow kernels. It is known that $\frac{1}{2}$ of the white kernels will pop, and $\frac{2}{3}$ of the yellow kernels will pop. If a kernel is randomly selected from the bag and placed in the pan and it pops, what is the probability that it is a white kernel?
A. $\frac{1}{2}$
B. $\frac{5}{9}$
C. $\frac{4}{7}$
D. $\frac{3}{5}$
E. $\frac{2}{3}$