Consider a square sheet of tin , 20 inches wide, that contains 10 rows and 10 columns of circular holes , each 1 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 1 of the holes and thus pass through ? ( ii ) What is the probability that a ball of diameter 1/2 inch thrown upon the sheet will pass through 1 of the holes without touching the tin sheet ? Assume an appropriate uniform probability law.