Abstract:
Using the method applyed by Chebyshev to prove the inequality that bears his name, the article provides a proof of the law of large numbers for the case of throwing the fair coin. This proof does not require familiarity with such concepts as independence, expectation, and variance. It is assumed that only the concept of equal possibility of events, the formula of classical probability, as well as the simplest concepts of combinatorics and the Newton binomial formula are known.
Key words:Bernoulli's theorem on the law of large numbers, Chebyshev's inequality, Chebyshev's theorem.
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