{"status": "success", "data": {"description_md": "An envelope contains eight bills: $2$ ones, $2$ fives, $2$ tens, and $2$ twenties.  Two bills are drawn at random without replacement.  What is the probability that their sum is &#36;$20$ or more?\n\n$\\mathrm{(A)}\\ {{{\\frac{1}{4}}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{2}{7}}}} \\qquad \\mathrm{(C)}\\ {{{\\frac{3}{7}}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{1}{2}}}} \\qquad \\mathrm{(E)}\\ {{{\\frac{2}{3}}}}$\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 envelope contains eight bills:  <span class=\"katex--inline\">2</span>  ones,  <span class=\"katex--inline\">2</span>  fives,  <span class=\"katex--inline\">2</span>  tens, and  <span class=\"katex--inline\">2</span>  twenties.  Two bills are drawn at random without replacement.  What is the probability that their sum is $ <span class=\"katex--inline\">20</span>  or more?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ {{{\\frac{1}{4}}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{2}{7}}}} \\qquad \\mathrm{(C)}\\ {{{\\frac{3}{7}}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{1}{2}}}} \\qquad \\mathrm{(E)}\\ {{{\\frac{2}{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": 3, "problem_name": "2005 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p12", "prev": "/problem/05_amc12B_p10"}}