{"status": "success", "data": {"description_md": "Kayla rolls four fair $6$-sided dice. What is the probability that at least one of the numbers Kayla rolls is greater than $4$ and at least two of the numbers she rolls are greater than $2$?\n\n$\\textbf{(A) }\\frac{2}{3} \\qquad \\textbf{(B) }\\frac{19}{27} \\qquad \\textbf{(C) }\\frac{59}{81} \\qquad \\textbf{(D) }\\frac{61}{81} \\qquad \\textbf{(E) }\\frac{7}{9}$\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>Kayla rolls four fair  <span class=\"katex--inline\">6</span> -sided dice. What is the probability that at least one of the numbers Kayla rolls is greater than  <span class=\"katex--inline\">4</span>  and at least two of the numbers she rolls are greater than  <span class=\"katex--inline\">2</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{2}{3} \\qquad \\textbf{(B) }\\frac{19}{27} \\qquad \\textbf{(C) }\\frac{59}{81} \\qquad \\textbf{(D) }\\frac{61}{81} \\qquad \\textbf{(E) }\\frac{7}{9}</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": 3, "problem_name": "2022 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12B_p13", "prev": "/problem/22_amc12B_p11"}}