{"status": "success", "data": {"description_md": "Each face of a cube is given a single narrow stripe painted from the center of one edge to the center of its opposite edge.  The choice of the edge pairing is made at random and independently for each face.  What is the probability that there is a continuous stripe encircling the cube?\n\n$\\textbf{(A)}\\ \\frac {1}{8}\\qquad \\textbf{(B)}\\ \\frac {3}{16}\\qquad \\textbf{(C)}\\ \\frac {1}{4} \\qquad \\textbf{(D)}\\ \\frac {3}{8}\\qquad \\textbf{(E)}\\ \\frac {1}{2}$\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>Each face of a cube is given a single narrow stripe painted from the center of one edge to the center of its opposite edge.  The choice of the edge pairing is made at random and independently for each face.  What is the probability that there is a continuous stripe encircling the cube?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac {1}{8}\\qquad \\textbf{(B)}\\ \\frac {3}{16}\\qquad \\textbf{(C)}\\ \\frac {1}{4} \\qquad \\textbf{(D)}\\ \\frac {3}{8}\\qquad \\textbf{(E)}\\ \\frac {1}{2}</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": 3, "problem_name": "2009 AMC 12B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p18", "prev": "/problem/09_amc12B_p16"}}