{"status": "success", "data": {"description_md": "A pair of six-sided dice are labeled so that one die has only even numbers (two each of $2$, $4$, and $6$), and the other die has only odd numbers (two each of $1$, $3$, and $5$). The pair of dice is rolled. What is the probability that the sum of the numbers on the tops of the two dice is $7$?\n\n$\\textbf{(A)}\\ \\frac{1}{6}\\qquad\\textbf{(B)}\\ \\frac{1}{5}\\qquad\\textbf{(C)}\\ \\frac{1}{4}\\qquad\\textbf{(D)}\\ \\frac{1}{3}\\qquad\\textbf{(E)}\\ \\frac{1}{2}$", "description_html": "<p>A pair of six-sided dice are labeled so that one die has only even numbers (two each of  <span class=\"katex--inline\">2</span> ,  <span class=\"katex--inline\">4</span> , and  <span class=\"katex--inline\">6</span> ), and the other die has only odd numbers (two each of  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">3</span> , and  <span class=\"katex--inline\">5</span> ). The pair of dice is rolled. What is the probability that the sum of the numbers on the tops of the two dice is  <span class=\"katex--inline\">7</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{1}{6}\\qquad\\textbf{(B)}\\ \\frac{1}{5}\\qquad\\textbf{(C)}\\ \\frac{1}{4}\\qquad\\textbf{(D)}\\ \\frac{1}{3}\\qquad\\textbf{(E)}\\ \\frac{1}{2}</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": 1, "problem_name": "2012 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p10", "prev": "/problem/12_amc10A_p08"}}