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Find the number of ways 2 squares can be...

Find the number of ways 2 squares can be chosen out of `8 xx 8` chess board such that they have only one corner in common.

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(i)If four squares are chosen at random on a chess board, find the probability that they lie on diagonal line. (ii) If two squares are chosen at random on a chess board, what is the Probability that they have exactly on corner in common? (iii) If nine squares are chosen at random on a chess board, what is the probability that they form a square of size 3x3?

(i)If fuor squares are chosen at random on a chess board, find the proability that they lie on diagonal line. (ii) If two squares are chosen at random on a chess board, what is the Probability that they have exactly on corner in common? (ii) If nine squares are chosen at random on a chess board, what is the probability that they form a square of size 3x3?

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Two unit squares are chosen at random on a chess board. Find the probability that they have a side in common.