A Converse of Tchebyshev Inequality Ileana Bucur (  bucurileana@yahoo.com ) Technical University of Civil Engineering Bucharest Research Article Keywords: Measurable and Probability spaces, Fubini, Lebesgue, Kolmogorov theorem, Tchebyshev inequality, inｦnite product of probabilities Posted Date: December 6th, 2022 DOI: https://doi.org/10.21203/rs.3.rs-2331286/v1 License:   This work is licensed under a Creative Commons Attribution 4.0 International License. Read Full License Additional Declarations: No competing interests reported. Version of Record: A version of this preprint was published at Mediterranean Journal of Mathematics on May 5th, 2023. See the published version at https://doi.org/10.1007/s00009-023-02345-x.