{"status": "success", "data": {"description_md": "If a fair coin is flipped seven times, the probability that it lands heads **exactly** three times can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime, positive integers. Compute $m + n$.", "description_html": "<p>If a fair coin is flipped seven times, the probability that it lands heads <strong>exactly</strong> three times 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": "Holiday Contest 2025 - Team Round - Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}