For an iid sequence (x1, x2, …, xn) ∊ {0,1}n one would expect for a typical sequence that
where H(X) denotes the Shannon entropy of the distribution. For ε > 0, the typical set is the set of sequences (x1, x2, …, xn) such that
It is then probable that a sequence will arise from the typical set despite, in most cases, being much smaller than 2n in size.