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Omni-MATH / Two 4×4 squares are randomly placed on an 8×8 chessboard so that their sides lie along the grid lines of the board. What is the probability that the two squares overlap?

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problem

Two 4×44 \times 4 squares are randomly placed on an 8×88 \times 8 chessboard so that their sides lie along the grid lines of the board. What is the probability that the two squares overlap?
Plain-text mathematical notation (without MathML)
Two 4×4 squares are randomly placed on an 8×8 chessboard so that their sides lie along the grid lines of the board. What is the probability that the two squares overlap?
Original LaTeX notation
Two $4 \times 4$ squares are randomly placed on an $8 \times 8$ chessboard so that their sides lie along the grid lines of the board. What is the probability that the two squares overlap?

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