Please help me in understanding Generated Sigma Algebra:(adsbygoogle = window.adsbygoogle || []).push({});

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 between σ-algebra & generated σ-algebra? Why "(HT), (TH)" in σ(C) have been seperated from "(HH), (TT)" with curly brackets?

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# Generated Sigma Algebra - Help

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