{"status": "success", "data": {"description_md": "A point $(x,y)$ is randomly picked from inside the rectangle with  vertices $(0,0)$, $(4,0)$, $(4,1)$, and $(0,1)$. What is the probability that $x<y$? \n\n$\\mathrm{(A) \\ } \\frac{1}{8}\\qquad \\mathrm{(B) \\ } \\frac{1}{4}\\qquad \\mathrm{(C) \\ } \\frac{3}{8}\\qquad \\mathrm{(D) \\ } \\frac{1}{2}\\qquad \\mathrm{(E) \\ } \\frac{3}{4}$", "description_html": "<p>A point  <span class=\"katex--inline\">(x,y)</span>  is randomly picked from inside the rectangle with  vertices  <span class=\"katex--inline\">(0,0)</span> ,  <span class=\"katex--inline\">(4,0)</span> ,  <span class=\"katex--inline\">(4,1)</span> , and  <span class=\"katex--inline\">(0,1)</span> . What is the probability that  <span class=\"katex--inline\">x&lt;y</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{1}{8}\\qquad \\mathrm{(B) \\ } \\frac{1}{4}\\qquad \\mathrm{(C) \\ } \\frac{3}{8}\\qquad \\mathrm{(D) \\ } \\frac{1}{2}\\qquad \\mathrm{(E) \\ } \\frac{3}{4}</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": "2003 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10A_p13", "prev": "/problem/03_amc10A_p11"}}