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

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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.

Vesicular release probability sets the strength of individual Schaffer collateral synapses

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Probability matching is not the default decision making strategy in human and non-human primates

Scientific method - Wikipedia

probability - Weak law vs strong law of large numbers - intuition - Cross Validated

Proof of the Law of Large Numbers Part 2: The Strong Law, by Andrew Rothman

probability theory - In the Proof of Kolmogorov's Strong Law of Large Numbers - Mathematics Stack Exchange

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

Week 121 Law of Large Numbers Toss a coin n times. Suppose X i 's are Bernoulli random variables with p = ½ and E(X i ) = ½. The proportion of

L18.4 The Weak Law of Large Numbers