L’agulla de Buffon i les seves aplicacions didàctiques

Abstract

[en] In this Project we study Buffon’s needle problem and its generalizations. We begin with a short introduction about the evolution of first games of chance until geometric probability problems. After including previous concepts, we work, following Santaló’s work, the Buffon’s needle problem and Buffon-Laplace’s needle problem. Then, we suggest generalizations with the same areas but with the long needle. The number of dimensions is also increased and the probability of the short needle is computed for orthoedra. Finally, we propose a didactic activity directed to students who are 17 years old, whose main problem is short needle for a rectangular tessellation.