Question: Coin in a can. A coin of diameter 1 inch is tossed in the air and caught in an empty soup can of bottom radius 3 inches. The coin lies flat on the bottom.
a) What is the chance that the coin covers the center point of the bottom of the can? Suppose that instead of the soup can, the coin is dropped into a box whose bottom is a square with sides of length 5 inches.
b) What is the chance that the coin covers the center point of the bottom of the box?
c) Consider one of the main diagonals of the bottom of the box. What is the probability that part of the coin crosses that diagonal line?