{"status": "success", "data": {"description_md": "Each of $2023$ balls is randomly placed into one of $3$ bins. Which of the following is closest to the probability that each of the bins will contain an odd number of balls?\n\n$\\textbf{(A) } \\frac{2}{3} \\qquad \\textbf{(B) } \\frac{3}{10} \\qquad \\textbf{(C) } \\frac{1}{2} \\qquad \\textbf{(D) } \\frac{1}{3} \\qquad \\textbf{(E) } \\frac{1}{4}$", "description_html": "<p>Each of  <span class=\"katex--inline\">2023</span>  balls is randomly placed into one of  <span class=\"katex--inline\">3</span>  bins. Which of the following is closest to the probability that each of the bins will contain an odd number of balls?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{2}{3} \\qquad \\textbf{(B) } \\frac{3}{10} \\qquad \\textbf{(C) } \\frac{1}{2} \\qquad \\textbf{(D) } \\frac{1}{3} \\qquad \\textbf{(E) } \\frac{1}{4}</span> </p>\n<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": 4, "problem_name": "2023 AMC 10B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p22", "prev": "/problem/23_amc10B_p20"}}