{"status": "success", "data": {"description_md": "A palindrome between $1000$ and $10,000$ is chosen at random. What is the probability that it is divisible by $7$?\n\n$\\textbf{(A)}\\ \\dfrac{1}{10} \\qquad \\textbf{(B)}\\ \\dfrac{1}{9} \\qquad \\textbf{(C)}\\ \\dfrac{1}{7} \\qquad \\textbf{(D)}\\ \\dfrac{1}{6} \\qquad \\textbf{(E)}\\ \\dfrac{1}{5}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A palindrome between  <span class=\"katex--inline\">1000</span>  and  <span class=\"katex--inline\">10,000</span>  is chosen at random. What is the probability that it is divisible by  <span class=\"katex--inline\">7</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\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}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2010 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p12", "prev": "/problem/10_amc12B_p10"}}