Pi is an infinite number of decimals, but if you move it one digit at a time in a different direction, it looks like a random walk. You can move up to 10000 digits. (0 = 0deg., 1=36deg. 2=72deg....9=324deg.)
First trial : J. Venn. The Logic of Chance. An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science, and to Statistics. Macmillan, 1888.