{"status": "success", "data": {"description_md": "Janet rolls a standard $6$-sided die $4$ times and keeps a running total of the numbers she rolls. What is the probability that at some point, her running total will equal $3?$\n\n$\\textbf{(A) }\\frac{2}{9}\\qquad\\textbf{(B) }\\frac{49}{216}\\qquad\\textbf{(C) }\\frac{25}{108}\\qquad\\textbf{(D) }\\frac{17}{72}\\qquad\\textbf{(E) }\\frac{13}{54}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Janet rolls a standard  <span class=\"katex--inline\">6</span> -sided die  <span class=\"katex--inline\">4</span>  times and keeps a running total of the numbers she rolls. What is the probability that at some point, her running total will equal  <span class=\"katex--inline\">3?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{2}{9}\\qquad\\textbf{(B) }\\frac{49}{216}\\qquad\\textbf{(C) }\\frac{25}{108}\\qquad\\textbf{(D) }\\frac{17}{72}\\qquad\\textbf{(E) }\\frac{13}{54}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2023 AMC 12A Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc12A_p06", "prev": "/problem/23_amc12A_p04"}}