Probabilidade geométrica: explorando o problema da agulha de Buffon para o Ensino Médio

Abstract

In this Final Course Work addresses fundamental concepts of Probability, including its definitions: classical, frequentist and subjective. In addition, conditional probability and Bayes’ Theorem are presented, with their respective definitions, demonstrations and examples. The main focus of the work is the study of geometric probability, explored through the Buffon needle problem. Throughout the chapters, theoretical studies are presented, the demonstration, in a practical and illustrative way, of the Buffon needle problem and possible activities for application in High School. The objective is to offer an educational approach to this problem, enabling its application in the classroom in Basic Education, seeking to complement the teaching of Probability in a comprehensive manner, stimulating students’ reasoning and probabilistic thinking.