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On Chebyshev’s Theorem and Bernoulli’s Law of Large Numbers
- Source :
- Moscow University Mathematics Bulletin. 76:135-138
- Publication Year :
- 2021
- Publisher :
- Allerton Press, 2021.
-
Abstract
- The law of large numbers for the case of tossing the fair coin is proven. The proof is based on the method that Chebyshev used to prove his inequality and does not require concepts such as independence, mathematical expectation, and variance. Only the concepts of equiprobability of events, the formula of classical probability, the simplest concepts of combinatorics, and Newton’s binomial formula are assumed to be known.
Details
- ISSN :
- 19348444 and 00271322
- Volume :
- 76
- Database :
- OpenAIRE
- Journal :
- Moscow University Mathematics Bulletin
- Accession number :
- edsair.doi...........597994698924d32793d559dfc55815b7
- Full Text :
- https://doi.org/10.3103/s0027132221030086