For the coin to fall within a white square, it (its centre) must fall into a smaller area inside a white square. This smaller area will also be a square with its length 2cm shorter than the 10cm white square. (If the coin falls at the very edge of the white square, its centre will be on the edge of this smaller white square the border of this square will be 1cm away from the border of the larger square) So it must land within this area = 64squared cm.
The area of a white square is 100 square cm = .64 but only every 2nd square is white, so answer = .32
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