Two small squares on a chessboard are chosen at random Find the probability that they have no common...........

Quantitative Aptitude (CDS) Probability

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Two small squares on a chessboard are chosen at random. Find the probability that they have no common side?

1/18

17/18

1/17

1/19

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Explanation:

The common side could be horizontal or vertical.
The number of ways that they have a common side
= 8×7 + 8×7
Total number of ways of choosing two squares
= 64C2
= 64× 63 /2
Thus , P ( they have a common side) = 2×8×7×2/64×63 = 1/18
Therefore , P ( they have no common side ) = 1 – 1/18 = 17/18