{"status": "success", "data": {"description_md": "If Munch has a fair die with numbers $1,2,3,5,8,13$ and Alex has a fair die with numbers $1,3,4,7,11,18$, the probability that the product of the numbers on Alex and Munch's dice is even can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Compute $m+n$.", "description_html": "<p>If Munch has a fair die with numbers <span class=\"katex--inline\">1,2,3,5,8,13</span> and Alex has a fair die with numbers <span class=\"katex--inline\">1,3,4,7,11,18</span>, the probability that the product of the numbers on Alex and Munch&#8217;s dice is even can be expressed as <span class=\"katex--inline\">\\frac{m}{n}</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers. Compute <span class=\"katex--inline\">m+n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Christmas Contest - Guts Round - Set 2 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}