Suppose there is a coin toss game where quarters are thrown onto a checkerboard. Management keeps all of the quarters; however, if a quarter lands entirely within one square of the checkerboard the management pays a dollar. Assume that the edge of each square is twice the diameter of the quarter, and that outcomes are described by coordinates chosen at random.
I am having a hard time starting this problem. I understand the area of the quarter and the area of the square but am not sure what to do with these. Is the probability the difference in the area of the square and the circle?