Please help me in understanding Generated Sigma Algebra:
Consider S = {(H,H), (H,T), (T,H), (T,T)},
the repeated coin toss. The Sigma-Algebra generated by
C = {{(HH), (TT)}} is
σ(C) = { ∅ , S, {(HT), (TH)}, {(HH), (TT)} }
How does "(H,T), (T,H)" jumped in the σ(C) ? What is the difference...