{"status": "success", "data": {"description_md": "A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color?\n\n$\\textbf{(A)}\\ \\frac{1}{10} \\qquad\\textbf{(B)}\\ \\frac16 \\qquad\\textbf{(C)}\\ \\frac15 \\qquad\\textbf{(D)}\\ \\frac13 \\qquad\\textbf{(E)}\\ \\frac12$\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>A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{1}{10} \\qquad\\textbf{(B)}\\ \\frac16 \\qquad\\textbf{(C)}\\ \\frac15 \\qquad\\textbf{(D)}\\ \\frac13 \\qquad\\textbf{(E)}\\ \\frac12</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": "2015 AMC 12A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12A_p10", "prev": "/problem/15_amc12A_p08"}}