{"status": "success", "data": {"description_md": "One fair die has faces $1$, $1$, $2$, $2$, $3$, $3$ and another has faces $4$, $4$, $5$, $5$, $6$, $6$. The dice are rolled and the numbers on the top faces are added. What is the probability that the sum will be odd?\n\n$\\mathrm{(A)} \\frac{1}{3} \\qquad \\mathrm{(B)} \\frac{4}{9} \\qquad \\mathrm{(C)} \\frac{1}{2} \\qquad \\mathrm{(D)} \\frac{5}{9} \\qquad \\mathrm{(E)} \\frac{2}{3}$", "description_html": "<p>One fair die has faces  <span class=\"katex--inline\">1</span> ,  <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 another has faces  <span class=\"katex--inline\">4</span> ,  <span class=\"katex--inline\">4</span> ,  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">6</span> ,  <span class=\"katex--inline\">6</span> . The dice are rolled and the numbers on the top faces are added. What is the probability that the sum will be odd?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} \\frac{1}{3} \\qquad \\mathrm{(B)} \\frac{4}{9} \\qquad \\mathrm{(C)} \\frac{1}{2} \\qquad \\mathrm{(D)} \\frac{5}{9} \\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": 1, "problem_name": "2005 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p10", "prev": "/problem/05_amc10B_p08"}}