FCPP 5: Coin in Square
This is the solution to problem 5 from Fifty Challenging Problems in Probability by Frederick Mosteller (1987). The problem is paraphrased below; for reference, it is inspired by the original book. We’re playing a game at a carneval. There is table with horizontal and vertical lines that create a grid of squares. The side of each square is one inch long. We throw a penny onto the table. If the penny doesn’t cross any line, we win a prize! The diameter of a penny is \(3/4\) inches. ...