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Sample Question 21:
A palindrome between \(1000\) and \(10,000\) is chosen at random. What is the probability that it is divisible by \(7\)?
\(\textbf{(A)}\ \dfrac{1}{10} \qquad \textbf{(B)}\ \dfrac{1}{9} \qquad \textbf{(C)}\ \dfrac{1}{7} \qquad \textbf{(D)}\ \dfrac{1}{6} \qquad \textbf{(E)}\ \dfrac{1}{5}\)