Experimentos sobre a lei dos grandes números e possíveis utilizações em sala de aula

Abstract

This work aims to present, in a didactic and accessible manner, the fundamental principles of the Law of Large Numbers and its importance in understanding random phenomena. To achieve this, it employs graphical visualizations that serve to illustrate typical behaviors of statistical convergence and support the development of the reader’s intuition. Computational simulations are also explored, including Buffon’s Needle Experiment, with the purpose of demonstrating how probabilistic models can be observed and interpreted through repetition, variability, and numerical approximations. Furthermore, the text adopts a pedagogical approach designed to facilitate the gradual understanding of concepts by connecting theory, experimentation, and visual representations. Thus, the work seeks to provide a solid and motivating foundation for further studies in probability, statistics, and applications related to the Law of Large Numbers.