{"status": "success", "data": {"description_md": "The faces of each of $7$ standard dice are labeled with the integers from $1$ to $6$. Let $p$ be the probability that when all $7$ dice are rolled, the sum of the numbers on the top faces is $10$. What other sum occurs with the same probability $p$?\n\n$\\textbf{(A) }13 \\qquad\n\\textbf{(B) }26 \\qquad\n\\textbf{(C) }32 \\qquad\n\\textbf{(D) }39 \\qquad\n\\textbf{(E) }42 \\qquad$", "description_html": "<p>The faces of each of  <span class=\"katex--inline\">7</span>  standard dice are labeled with the integers from  <span class=\"katex--inline\">1</span>  to  <span class=\"katex--inline\">6</span> . Let  <span class=\"katex--inline\">p</span>  be the probability that when all  <span class=\"katex--inline\">7</span>  dice are rolled, the sum of the numbers on the top faces is  <span class=\"katex--inline\">10</span> . What other sum occurs with the same probability  <span class=\"katex--inline\">p</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }13 \\qquad\n\\textbf{(B) }26 \\qquad\n\\textbf{(C) }32 \\qquad\n\\textbf{(D) }39 \\qquad\n\\textbf{(E) }42 \\qquad</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": "2018 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p10", "prev": "/problem/18_amc10B_p08"}}