{"status": "success", "data": {"description_md": "On a standard die one of the dots is removed at random with each dot equally likely to be chosen. The die is then rolled. What is the probability that the top face has an odd number of dots?\n\n$(\\mathrm {A}) \\ \\frac{5}{11} \\qquad (\\mathrm {B}) \\ \\frac{10}{21} \\qquad (\\mathrm {C})\\ \\frac{1}{2} \\qquad (\\mathrm {D}) \\ \\frac{11}{21} \\qquad (\\mathrm {E})\\ \\frac{6}{11}$\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>On a standard die one of the dots is removed at random with each dot equally likely to be chosen. The die is then rolled. What is the probability that the top face has an odd number of dots?</p>&#10;<p> <span class=\"katex--inline\">(\\mathrm {A}) \\ \\frac{5}{11} \\qquad (\\mathrm {B}) \\ \\frac{10}{21} \\qquad (\\mathrm {C})\\ \\frac{1}{2} \\qquad (\\mathrm {D}) \\ \\frac{11}{21} \\qquad (\\mathrm {E})\\ \\frac{6}{11}</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": "2005 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12A_p15", "prev": "/problem/05_amc12A_p13"}}