{"status": "success", "data": {"description_md": "Two eight-sided dice each have faces numbered $1$ through $8$. When the dice are rolled, each face has an equal probability of appearing on the top. What is the probability that the product of the two top numbers is greater than their sum?\n\n$\\mathrm{(A) \\ } \\frac{1}{2} \\qquad \\mathrm{(B) \\ } \\frac{47}{64} \\qquad \\mathrm{(C) \\ } \\frac{3}{4} \\qquad \\mathrm{(D) \\ } \\frac{55}{64} \\qquad \\mathrm{(E) \\ } \\frac{7}{8}$", "description_html": "<p>Two eight-sided dice each have faces numbered  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">8</span> . When the dice are rolled, each face has an equal probability of appearing on the top. What is the probability that the product of the two top numbers is greater than their sum?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{1}{2} \\qquad \\mathrm{(B) \\ } \\frac{47}{64} \\qquad \\mathrm{(C) \\ } \\frac{3}{4} \\qquad \\mathrm{(D) \\ } \\frac{55}{64} \\qquad \\mathrm{(E) \\ } \\frac{7}{8}</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": "2004 AMC 10B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc10B_p12", "prev": "/problem/04_amc10B_p10"}}