{"status": "success", "data": {"description_md": "**POTD February 16, 2024**\n\nSally has a bag with $6$ dice in it numbered $(1,2,3)$ $(2,3,4)$ $(3,4,5)$ $(4,5,6)$ $(5,6,7)$ $(6,7,8)$. If she draws outs $2$ dice and rolls them, the probability that the sum of the $2$ dice is equal to $8$ can be expressed as $\\frac{a}{b}$. Compute $a+b$.", "description_html": "<p><strong>POTD February 16, 2024</strong></p>&#10;<p>Sally has a bag with <span class=\"katex--inline\">6</span> dice in it numbered <span class=\"katex--inline\">(1,2,3)</span> <span class=\"katex--inline\">(2,3,4)</span> <span class=\"katex--inline\">(3,4,5)</span> <span class=\"katex--inline\">(4,5,6)</span> <span class=\"katex--inline\">(5,6,7)</span> <span class=\"katex--inline\">(6,7,8)</span>. If she draws outs <span class=\"katex--inline\">2</span> dice and rolls them, the probability that the sum of the <span class=\"katex--inline\">2</span> dice is equal to <span class=\"katex--inline\">8</span> can be expressed as <span class=\"katex--inline\">\\frac{a}{b}</span>. Compute <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #71", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}