For our discussion on Wednesday, it really would be helpful to have some acquaintance with the concept known as a random walk. The underlying question is - if you see the consequences of a random walk, do you nonetheless detect a pattern in what you observe? If you do, you are rationalizing randomness.
This other link is entirely unrelated to any substance in our course. It is pure fun. Here I will only say, the puzzle is do-able. But if you try it, it might not seem that way.