{"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$\\mathrm{(A)} \\frac{1}{4} \\qquad \\mathrm{(B)} \\frac{2}{5} \\qquad \\mathrm{(C)} \\frac{3}{7} \\qquad \\mathrm{(D)} \\frac{1}{2} \\qquad \\mathrm{(E)} \\frac{2}{3}$", "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>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} \\frac{1}{4} \\qquad \\mathrm{(B)} \\frac{2}{5} \\qquad \\mathrm{(C)} \\frac{3}{7} \\qquad \\mathrm{(D)} \\frac{1}{2} \\qquad \\mathrm{(E)} \\frac{2}{3}</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": "2005 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p16", "prev": "/problem/05_amc10B_p14"}}