The existence of chance

Authors

  • Rosario D'Amico Banca Monte dei Paschi di Siena SPA

DOI:

https://doi.org/10.23756/sp.v12i2.1667

Keywords:

Chance, Gambling System, Random Event, Statistical Law of Large Numbers, Trial

Abstract

This paper aims to study a particular case to provide a rational basis for recognizing the existence of  chance by finding its real trace, that is, specifying its practical meaning, which consists of the following statement known as the Statistical Law of Large Numbers: If an event E has a constant probability p of occurrence on any one trial, and has occurred m times in n trials, then, if the relative frequency of E, m/n, approaches the value of a limit point l and the accuracy of the approximation increases as the number of trials increases, we have l = p. The argument we propose is based on the concepts of "event" and "trial", formulated by the author himself, and their direct implications.

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References

G. BUSSETTI, Esercitazioni Pratiche di Fisica, Libreria Editrice Universitaria, Levrotto&Bella, Torino.

J. P. CECCONI, G. STAMPACCHIA, Analisi Matematica, Liguori Editore s.r.l., Napoli 1974.

M. CLARK, Paradoxes from A to Z., Routledge, New York 2012.

R. D’AMICO, Chance and The Statistical Law of Large Numbers, in Journal of Mathematical Economics and Finance, [S.l.], v. 7, n. 2, p. 41-53, dec. 2021. ISSN 2458-0813. https://doi.org/10.14505/jmef.v7.2(13).03.

B. DE FINETTI, Teoria della Probabilità, Einaudi, Torino 1970 – Engl.transl.: Theory of Probability Voll. 1 and 2, Wiley Chichester, 1974.

F. FAGGIN, IRRIDUCIBILE. La coscienza, la vita, i computer e la nostra natura. Edizioni Mondadori, 2022.

M. C. GALAVOTTI, Probabilità, La Nuova Italia, Milano, 2000.

B.V. GNEDENKO, The Theory of Probability., AMS Chelsea Publishing Company, New York, 2005.

W. HEISENBERG, Indeterminazione e realtà, a cura di G. Gembillo e G. Gregorio, Alfredo Guida Editore, Napoli, 2002.

M. D. RESNIK, Choices. Minneapolis: University of Minnesota Press. 1987, trad it. Scelte, franco muzzio & c. editore spa, 2003.

D. RUELLE, Hasard et chaos, Paris, Edition Odile Jacob, 1991, trad.it. Caso e caos, Torino, Bollati Boringhieri Editore, 2003.

M. SPIEGEL, A. SRINIVASAN & J. SCHILLER, Schaum’s Outline of Theory and Problems of PROBABILITY AND STATISTICS., The Mc Graw-Hill Companies Inc, 2.

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Published

2024-12-31

Issue

Section

Volume 12 Issue 2 2024