{"status": "success", "data": {"description_md": "Two real numbers are selected independently and at random from the interval $[-20,10]$.  What is the probability that the product of those numbers is greater than zero?\n\n$\\textbf{(A)}\\ \\frac{1}{9} \\qquad \\textbf{(B)}\\ \\frac{1}{3} \\qquad \\textbf{(C)}\\ \\frac{4}{9} \\qquad \\textbf{(D)}\\ \\frac{5}{9} \\qquad \\textbf{(E)}\\ \\frac{2}{3}$\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>Two real numbers are selected independently and at random from the interval  <span class=\"katex--inline\">[-20,10]</span> .  What is the probability that the product of those numbers is greater than zero?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{1}{9} \\qquad \\textbf{(B)}\\ \\frac{1}{3} \\qquad \\textbf{(C)}\\ \\frac{4}{9} \\qquad \\textbf{(D)}\\ \\frac{5}{9} \\qquad \\textbf{(E)}\\ \\frac{2}{3}</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": 2, "problem_name": "2011 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p10", "prev": "/problem/11_amc12B_p08"}}