2024 Mock AMC 10 - Problem 11

Two distinct tiles are chosen on an empty chessboard (an 8 \times 8 grid). If two identical rooks are placed on these tiles, find the probability that they attack each other. (Two rooks attack each other if and only if they are in the same row or same column).

\textbf{(A) }\frac{3}{7}\qquad\textbf{(B) }\frac{7}{9}\qquad\textbf{(C) }\frac{2}{9}\qquad\textbf{(D) }\frac{16}{63}\qquad\textbf{(E) }\frac{7}{32}