A palindrome is a nonnegative integer number that reads the same forwards and backwards when written in base 10 with no leading zeros. A 6 -digit palindrome n is chosen uniformly at random. What is the probability that \dfrac{n}{11} is also a palindrome?
Answer Choices
A. \dfrac{8}{25}
B. \dfrac{33}{100}
C. \dfrac{7}{20}
D. \dfrac{9}{25}
E. \dfrac{11}{30}