{"status": "success", "data": {"description_md": "Michael randomly chooses two integers $x, y$ in the range $0$ to $5$ inclusive. What is the probability that the area of the rectangle with bottom left corner at $(0, 0)$ and top right corner at $(x, y)$ is larger than or equal to $12$?\n\n$(\\textbf{A})\\;\\dfrac{2}{9}\\quad(\\textbf{B})\\;\\dfrac{8}{25}\\quad(\\textbf{C})\\;\\dfrac{1}{3}\\quad(\\textbf{D})\\;\\dfrac{13}{25}\\quad(\\textbf{E})\\;\\dfrac{12}{25}$", "description_html": "<p>Michael randomly chooses two integers <span class=\"katex--inline\">x, y</span> in the range <span class=\"katex--inline\">0</span> to <span class=\"katex--inline\">5</span> inclusive. What is the probability that the area of the rectangle with bottom left corner at <span class=\"katex--inline\">(0, 0)</span> and top right corner at <span class=\"katex--inline\">(x, y)</span> is larger than or equal to <span class=\"katex--inline\">12</span>?</p>&#10;<p><span class=\"katex--inline\">(\\textbf{A})\\;\\dfrac{2}{9}\\quad(\\textbf{B})\\;\\dfrac{8}{25}\\quad(\\textbf{C})\\;\\dfrac{1}{3}\\quad(\\textbf{D})\\;\\dfrac{13}{25}\\quad(\\textbf{E})\\;\\dfrac{12}{25}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Mock AMC 8 #1 - Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p20", "prev": "/problem/amc8mock1-p18"}}