{"status": "success", "data": {"description_md": "Among the positive integers less than $100$, each of whose digits is a prime number, one is selected at random. What is the probability that the selected number is prime?\n\n$\\textbf{(A) } \\dfrac{8}{99} \\qquad\\textbf{(B) } \\dfrac{2}{5} \\qquad\\textbf{(C) } \\dfrac{9}{20} \\qquad\\textbf{(D) } \\dfrac{1}{2} \\qquad\\textbf{(E) } \\dfrac{9}{16}$", "description_html": "<p>Among the positive integers less than  <span class=\"katex--inline\">100</span> , each of whose digits is a prime number, one is selected at random. What is the probability that the selected number is prime?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\dfrac{8}{99} \\qquad\\textbf{(B) } \\dfrac{2}{5} \\qquad\\textbf{(C) } \\dfrac{9}{20} \\qquad\\textbf{(D) } \\dfrac{1}{2} \\qquad\\textbf{(E) } \\dfrac{9}{16}</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": 3, "problem_name": "2015 AMC 10B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p12", "prev": "/problem/15_amc10B_p10"}}