{"status": "success", "data": {"description_md": "**POTD March 25, 2024**\n\nA bag contains $3$ apples and $9$ oranges. A second bag contains $6$ apples and $X$ oranges. One fruit is taken from each bag. The probability that both fruits are the same is $\\frac{9}{16}$. Compute $X$.", "description_html": "<p><strong>POTD March 25, 2024</strong></p>&#10;<p>A bag contains <span class=\"katex--inline\">3</span> apples and <span class=\"katex--inline\">9</span> oranges. A second bag contains <span class=\"katex--inline\">6</span> apples and <span class=\"katex--inline\">X</span> oranges. One fruit is taken from each bag. The probability that both fruits are the same is <span class=\"katex--inline\">\\frac{9}{16}</span>. Compute <span class=\"katex--inline\">X</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Problem of the Day #107", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}