# Problem #1551

 1551 A palindrome between $1000$ and $10,000$ is chosen at random. What is the probability that it is divisible by $7$? $\textbf{(A)}\ \dfrac{1}{10} \qquad \textbf{(B)}\ \dfrac{1}{9} \qquad \textbf{(C)}\ \dfrac{1}{7} \qquad \textbf{(D)}\ \dfrac{1}{6} \qquad \textbf{(E)}\ \dfrac{1}{5}$ This problem is copyrighted by the American Mathematics Competitions.
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