probability theory - In the Proof of Kolmogorov's Strong Law of

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I understand everything in this proof concerning the strong law of large numbers, except for the line highlighted in red. I do not understand why $$\frac{X_1 + +X_n}{n}$$ is measurable with res

Prove Kolmogorov's 0-1 law: If 𝑋1,𝑋2, are independent and 𝐴

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Prove Kolmogorov's 0-1 law: If 𝑋1,𝑋2, are independent and 𝐴

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