A random walk in two dimensions is the following game played on the xy coordinate system. Starting at the origin (0, 0), each iteration consists of a random step either 1 unit left, up, right, or down. The walk terminates when the walker returns to the origin. (The probability of this happening is 1 in two dimensions but less than 1 in three dimensions.) Write a program that performs 100 independent random walks and computes the average number of steps taken in each direction.

Draw using JavaFX the results of one random walk on the screen with a counter for the number of steps and a button to move to the next walk. The final screen should display the final statistics. The number of walks should be read from the user.