{"status": "success", "data": {"description_md": "Integers $a, b, c,$ and $d$, not necessarily distinct, are chosen independently and at random from $0$ to $2007$, inclusive. What is the probability that $ad-bc$ is even?\n\n$\\mathrm{(A)}\\ \\frac 38\\qquad \\mathrm{(B)}\\ \\frac 7{16}\\qquad \\mathrm{(C)}\\ \\frac 12\\qquad \\mathrm{(D)}\\ \\frac 9{16}\\qquad \\mathrm{(E)}\\ \\frac 58$", "description_html": "<p>Integers <span class=\"katex--inline\">a, b, c,</span> and <span class=\"katex--inline\">d</span>, not necessarily distinct, are chosen independently and at random from <span class=\"katex--inline\">0</span> to <span class=\"katex--inline\">2007</span>, inclusive. What is the probability that <span class=\"katex--inline\">ad-bc</span> is even?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac 38\\qquad \\mathrm{(B)}\\ \\frac 7{16}\\qquad \\mathrm{(C)}\\ \\frac 12\\qquad \\mathrm{(D)}\\ \\frac 9{16}\\qquad \\mathrm{(E)}\\ \\frac 58</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2007 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p17", "prev": "/problem/07_amc10A_p15"}}