{"status": "success", "data": {"description_md": "A poll shows that $70\\%$ of all voters approve of the mayor's work. On three separate occasions a pollster selects a voter at random. What is the probability that on exactly one of these three occasions the voter approves of the mayor's work?\n\n$\\mathrm{(A)}\\ {{{0.063}}} \\qquad \\mathrm{(B)}\\ {{{0.189}}} \\qquad \\mathrm{(C)}\\ {{{0.233}}} \\qquad \\mathrm{(D)}\\ {{{0.333}}} \\qquad \\mathrm{(E)}\\ {{{0.441}}}$", "description_html": "<p>A poll shows that  <span class=\"katex--inline\">70\\%</span>  of all voters approve of the mayor&#8217;s work. On three separate occasions a pollster selects a voter at random. What is the probability that on exactly one of these three occasions the voter approves of the mayor&#8217;s work?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ {{{0.063}}} \\qquad \\mathrm{(B)}\\ {{{0.189}}} \\qquad \\mathrm{(C)}\\ {{{0.233}}} \\qquad \\mathrm{(D)}\\ {{{0.333}}} \\qquad \\mathrm{(E)}\\ {{{0.441}}}</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": "2008 AMC 10B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p18", "prev": "/problem/08_amc10B_p16"}}