Buffon's Coin Experiment

Description

Buffon's coin experiment is a random experiment in which a coin is tossed on a floor with square tiles. Random variables \(X\) and \(Y\) are the coordinates of the center of the coin relative to the center of the square. Random variable \(I\) indicates the event that the coin crosses a crack. This event is the complement of the square outlined in blue in the scatterplot. When the experiment runs, the points \((X, Y)\) are shown as red dots in the scatterplot, and \(X\), \(Y\), and \(I\) are recorded in the data table. The distribution of \(I\) is described in the distribution graph and table. The parameter of the process is the radius \(r\) of the coin, which can be varied with the scrollbar.