{"status": "success", "data": {"description_md": "Jerrily was playing a game of tetr.io against Alvin and Richard. Normally, each player has a $\\frac{1}{3}$ chance of winning.\n\nSometimes Jerrily gets very triggered when Alvin Pan says *\"grr\"* to him. This causes him to become egotistical and attempt stick spin openers and t-spins.\n\nBy doing this, Jerrily decreases his probability of winning by $50\\%$ (that is, his probability is multiplied by $\\frac{1}{2}$). Alvin has a $\\frac{3}{4}$ chance to aggravate Jerrily.\n\nIf the expected chance of Jerrily winning is denoted by $\\frac{m}{n}$, where $m$ and $n$ are positive co-prime integers, compute $m + n$.", "description_html": "<p>Jerrily was playing a game of <a href=\"http://tetr.io\">tetr.io</a> against Alvin and Richard. Normally, each player has a <span class=\"katex--inline\">\\frac{1}{3}</span> chance of winning.</p>&#10;<p>Sometimes Jerrily gets very triggered when Alvin Pan says <em>&#8220;grr&#8221;</em> to him. This causes him to become egotistical and attempt stick spin openers and t-spins.</p>&#10;<p>By doing this, Jerrily decreases his probability of winning by <span class=\"katex--inline\">50\\%</span> (that is, his probability is multiplied by <span class=\"katex--inline\">\\frac{1}{2}</span>). Alvin has a <span class=\"katex--inline\">\\frac{3}{4}</span> chance to aggravate Jerrily.</p>&#10;<p>If the expected chance of Jerrily winning is denoted by <span class=\"katex--inline\">\\frac{m}{n}</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are positive co-prime 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 - Individual Round - Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_individual-p06", "prev": "/problem/christmas1_individual-p04"}}