probability - Condition for strong law of large numbers : Understanding the solution - Mathematics Stack Exchange

I am reading the solution of the following task: Here is the solution: From where does the last inequality in the second line comes from? Everything else is totally clear to me.

Preparing random states and benchmarking with many-body quantum chaos

Gender differences in the intention to study math increase with math performance

probability - Is the Law of Large Numbers empirically proven? - Mathematics Stack Exchange

Proof of the Law of Large Numbers Part 1: The Weak Law, by Andrew Rothman

Vesicular release probability sets the strength of individual Schaffer collateral synapses

probability - Which Law of Large Numbers ensures the second equation in the picture is true? - Mathematics Stack Exchange

Law of Large Numbers Strong and weak, with proofs and exercises

Weak Law of Large Numbers Brief Guide to Weak Law of Large Number

Mathematics, Free Full-Text

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