Do you want to create random walks? All you have to do is throw a coin, assign each side to either left or right and draw a line as shown below. Draw a line that goes up for heads and down for tails. Before you know it, there is your Random Walk!
Want to make it 2-D? Throw a dice instead of a coin, and assign 1,2,34 to left,right, up or down (5 and 6 won't be used). Take a chessboard and move a pawn around as commanded by the dice! There you have it! A 2-dimensional random walk!
Example of 2D random walk
Now we have a feeling about random walks. But what is more fun that dice and chessboards? Math of course!