{"status": "success", "data": {"description_md": "The wheel shown is spun twice, and the randomly determined numbers opposite the pointer are recorded. The first number is divided by $4,$ and the second number is divided by $5.$ The first remainder designates a column, and the second remainder designates a row on the checkerboard shown. What is the probability that the pair of numbers designates a shaded square?\n$$\n
\n\n
$$\n\n$\\textbf{(A) } \\frac{1}{3} \\qquad\\textbf{(B) } \\frac{4}{9} \\qquad\\textbf{(C) } \\frac{1}{2} \\qquad\\textbf{(D) } \\frac{5}{9} \\qquad\\textbf{(E) } \\frac{2}{3}$", "description_html": "

The wheel shown is spun twice, and the randomly determined numbers opposite the pointer are recorded. The first number is divided by 4, and the second number is divided by 5. The first remainder designates a column, and the second remainder designates a row on the checkerboard shown. What is the probability that the pair of numbers designates a shaded square?
\n$$

\n
\n\n
$$\n

\\textbf{(A) } \\frac{1}{3} \\qquad\\textbf{(B) } \\frac{4}{9} \\qquad\\textbf{(C) } \\frac{1}{2} \\qquad\\textbf{(D) } \\frac{5}{9} \\qquad\\textbf{(E) } \\frac{2}{3}

\n

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2007 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p20", "prev": "/problem/07_amc10B_p18"}}