Convergence, Probability, Cumulative Distribution, Statistics, Editors Pick.
perfectly fair coin. X, by design, always behaves like a perfectly fair coin. But the realized values of the random variable |X_n — X| will always bounce between 0 and 1 as the two coins turn up as Tails (0) or as Heads (1) independent of each other. Thus, the proportion of observations of |X_n —