{"status": "success", "data": {"description_md": "A number $m$ is randomly selected from the set $\\{11,13,15,17,19\\}$, and a number $n$ is randomly selected from $\\{1999,2000,2001,\\ldots,2018\\}$. What is the probability that $m^n$ has a units digit of $1$?\n\n$\\textbf{(A) }   \\frac{1}{5}   \\qquad        \\textbf{(B) }   \\frac{1}{4}   \\qquad    \\textbf{(C) }   \\frac{3}{10}   \\qquad   \\textbf{(D) } \\frac{7}{20} \\qquad  \\textbf{(E) }   \\frac{2}{5}$", "description_html": "<p>A number  <span class=\"katex--inline\">m</span>  is randomly selected from the set  <span class=\"katex--inline\">\\{11,13,15,17,19\\}</span> , and a number  <span class=\"katex--inline\">n</span>  is randomly selected from  <span class=\"katex--inline\">\\{1999,2000,2001,\\ldots,2018\\}</span> . What is the probability that  <span class=\"katex--inline\">m^n</span>  has a units digit of  <span class=\"katex--inline\">1</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }   \\frac{1}{5}   \\qquad        \\textbf{(B) }   \\frac{1}{4}   \\qquad    \\textbf{(C) }   \\frac{3}{10}   \\qquad   \\textbf{(D) } \\frac{7}{20} \\qquad  \\textbf{(E) }   \\frac{2}{5}</span> </p>\n<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": "2018 AMC 10A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p20", "prev": "/problem/18_amc10A_p18"}}