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Two squares of 1xx1 are chosen at random...

Two squares of `1xx1` are chosen at random on a chestboard. What is the probability that they have a side 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 four 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?

(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?