{"status": "success", "data": {"description_md": "**POTD March 11, 2024**\n\nStarting with an empty string, we create a string by repeatedly appending one of the letters A, B, C with probabilities $\\frac{1}{4}, \\frac{1}{2}, \\frac{1}{4}$, respectively, until the letter B appears twice consecutively. What is the expected value of the length of the resulting string?", "description_html": "<p><strong>POTD March 11, 2024</strong></p>&#10;<p>Starting with an empty string, we create a string by repeatedly appending one of the letters A, B, C with probabilities <span class=\"katex--inline\">\\frac{1}{4}, \\frac{1}{2}, \\frac{1}{4}</span>, respectively, until the letter B appears twice consecutively. What is the expected value of the length of the resulting string?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #93", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}