{"status": "success", "data": {"description_md": "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 $\\frac{n}{11}$ is also a palindrome?\n\n$\\textbf{(A)} \\ \\frac{8}{25} \\qquad \\textbf{(B)} \\ \\frac{33}{100} \\qquad \\textbf{(C)} \\ \\frac{7}{20} \\qquad \\textbf{(D)} \\ \\frac{9}{25} \\qquad \\textbf{(E)} \\ \\frac{11}{30}$\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 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  <span class=\"katex--inline\">n</span>  is chosen uniformly at random. What is the probability that  <span class=\"katex--inline\">\\frac{n}{11}</span>  is also a palindrome?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ \\frac{8}{25} \\qquad \\textbf{(B)} \\ \\frac{33}{100} \\qquad \\textbf{(C)} \\ \\frac{7}{20} \\qquad \\textbf{(D)} \\ \\frac{9}{25} \\qquad \\textbf{(E)} \\ \\frac{11}{30}</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": 5, "problem_name": "2013 AMC 12A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p23", "prev": "/problem/13_amc12A_p21"}}