If two squares are chosen at random on a chessboard, what is the probability that they have a side in common?
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1/18
6 possibilities for 1st square
Corners, leftmost column, rightmost column, topmost row, bottomost row, others
Corners have 2 cells that can share a side
Other 4 have 3 cells that share a side
Others = 4cells
Answer (4*2 + 24*3+36*4)/(64*63)
=1/18
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