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Consider a square sheet of tin, 20 inches wide that contains 10 rows and 10 columns of circular holes, each I inch in diameter, with centers evenly spaced at a distance 2 inches apart. (i) What is the probability that a particle of sand (considered as a point) blown against the tin sheet will fall upon I of the holes and thus pass through? (ii) What is the probability that a ball of diameter t inch thrown upon the sheet will pass through I of the holes without touching the tin sheet? Assume an appropriate uniform probability law.

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