{"status": "success", "data": {"description_md": "What is the probability that an integer in the set $\\{1,2,3,...,100\\}$ is divisible by $2$ and not divisible by $3$? \n\n$\\mathrm{(A) \\ } \\frac{1}{6}\\qquad \\mathrm{(B) \\ }  \\frac{33}{100}\\qquad \\mathrm{(C) \\ }  \\frac{17}{50}\\qquad \\mathrm{(D) \\ }  \\frac{1}{2}\\qquad \\mathrm{(E) \\ }  \\frac{18}{25}$", "description_html": "<p>What is the probability that an integer in the set  <span class=\"katex--inline\">\\{1,2,3,...,100\\}</span>  is divisible by  <span class=\"katex--inline\">2</span>  and not divisible by  <span class=\"katex--inline\">3</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{1}{6}\\qquad \\mathrm{(B) \\ }  \\frac{33}{100}\\qquad \\mathrm{(C) \\ }  \\frac{17}{50}\\qquad \\mathrm{(D) \\ }  \\frac{1}{2}\\qquad \\mathrm{(E) \\ }  \\frac{18}{25}</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": "2003 AMC 10A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10A_p16", "prev": "/problem/03_amc10A_p14"}}