{"status": "success", "data": {"description_md": "Two fair coins are to be tossed once. For each head that results, one fair die is to be rolled. What is the probability that the sum of the die rolls is odd? (Note that if no die is rolled, the sum is $0$.)\n\n$\\mathrm{(A)}\\ {{{\\frac{3} {8}}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{1} {2}}}} \\qquad \\mathrm{(C)}\\ {{{\\frac{43} {72}}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{5} {8}}}} \\qquad \\mathrm{(E)}\\ {{{\\frac{2} {3}}}}$", "description_html": "<p>Two fair coins are to be tossed once. For each head that results, one fair die is to be rolled. What is the probability that the sum of the die rolls is odd? (Note that if no die is rolled, the sum is  <span class=\"katex--inline\">0</span> .)</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ {{{\\frac{3} {8}}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{1} {2}}}} \\qquad \\mathrm{(C)}\\ {{{\\frac{43} {72}}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{5} {8}}}} \\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": "2008 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p17", "prev": "/problem/08_amc10B_p15"}}