two squares are chosen at random on a chess board findthe probability that they have common side?

ans:i got the ans as 38/3451..........is this correct ? if not how to do?

Dear anesh krishna,

 64 no of squares and we can choose first square by 64 ways

and second by 63ways.

There are a total of 64 * 63 = 4032

corners have only 2 adjacent squares. we have 4 corners.

total we can choose using corner square are=4*2

another 24 squares along the boundaries they have 3 adjacent squares.

total no= 24*3

the remaing squares are 34 they have 4 adjacent sides.

total= 36*4

number of combinations = (4 * 2) + (24 * 3) + (36 * 4) = 224

 = .

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