{"status": "success", "data": {"description_md": "An integer $x$, with $10\\leq x\\leq 99$, is to be chosen. If all choices are equally likely, what is the probability that at least one digit of $x$ is a 7?\n\n$(\\mathrm {A}) \\dfrac{1}{9} \\qquad (\\mathrm {B}) \\dfrac{1}{5} \\qquad (\\mathrm {C}) \\dfrac{19}{90} \\qquad (\\mathrm {D}) \\dfrac{2}{9} \\qquad (\\mathrm {E}) \\dfrac{1}{3}$\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>An integer  <span class=\"katex--inline\">x</span> , with  <span class=\"katex--inline\">10\\leq x\\leq 99</span> , is to be chosen. If all choices are equally likely, what is the probability that at least one digit of  <span class=\"katex--inline\">x</span>  is a 7?</p>&#10;<p> <span class=\"katex--inline\">(\\mathrm {A}) \\dfrac{1}{9} \\qquad (\\mathrm {B}) \\dfrac{1}{5} \\qquad (\\mathrm {C}) \\dfrac{19}{90} \\qquad (\\mathrm {D}) \\dfrac{2}{9} \\qquad (\\mathrm {E}) \\dfrac{1}{3}</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": "2004 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc12B_p05", "prev": "/problem/04_amc12B_p03"}}