You can estimate the probability distribution that generates this sequence as 0: 0, 1: 1. This is as far from 0: 0.5, 1: 0.5 (a fair coin toss) as you can get.

You can estimate the probability distribution that generates this sequence as 0: 0, 1: 1. This is as far from 0: 0.5, 1: 0.5 (a fair coin toss) as you can get. Comparing mean and std dev can be used to estimate the distance between two distributions. See also, statistical testing.