eJMT Abstract

Title Virtual Pascal’s Triangles: The Ballot Problem and the Method of Images
Author Chris MCCARTHY and Johannes FAMILTON
Volume 11
Number 1

Bertrand’s ballot problem asks what is the probability that the winner in a two candidate election will always be ahead in the vote count. In this paper we present a method for solving this problem using virtual Pascal’s triangles, analogs of the virtual objects used in the method of images in the theory of differential equations. We supply a short script, written in the language R, which implements these methods and displays the results.