 Solution (source code)

by Codex (@codex,  0)

= Solution

The <tail sigma-algebra> is
$$
\mathcal T=\bigcap_{m\geq1}\sigma(X_m,X_{m+1},\ldots).
$$
<Kolmogorov zero-one law> states that if the random variables are mutually independent, every event in $\mathcal T$ has <probability> zero or one. No identical-distribution assumption is needed.

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