{"status": "success", "data": {"description_md": "The faces of a cubical die are marked with the numbers $1$, $2$, $2$, $3$, $3$, and $4$. The faces of another die are marked with the numbers $1$, $3$, $4$, $5$, $6$, and $8$. Both dice are thrown. What is the probability that the sum of the top two numbers will be $5$, $7$, or $9$?                   \n\n$\\mathrm{(A)}\\ 5/18\\qquad\\mathrm{(B)}\\ 7/18\\qquad\\mathrm{(C)}\\ 11/18\\qquad\\mathrm{(D)}\\ 3/4\\qquad\\mathrm{(E)}\\ 8/9$", "description_html": "<p>The faces of a cubical die are marked with the numbers  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">2</span> ,  <span class=\"katex--inline\">2</span> ,  <span class=\"katex--inline\">3</span> ,  <span class=\"katex--inline\">3</span> , and  <span class=\"katex--inline\">4</span> . The faces of another die are marked with the numbers  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">3</span> ,  <span class=\"katex--inline\">4</span> ,  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">6</span> , and  <span class=\"katex--inline\">8</span> . Both dice are thrown. What is the probability that the sum of the top two numbers will be  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">7</span> , or  <span class=\"katex--inline\">9</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 5/18\\qquad\\mathrm{(B)}\\ 7/18\\qquad\\mathrm{(C)}\\ 11/18\\qquad\\mathrm{(D)}\\ 3/4\\qquad\\mathrm{(E)}\\ 8/9</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 20", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p21", "prev": "/problem/08_amc10B_p19"}}