Sabbatical Report: The Chase

submitted by haines@augsburg.edu

Catch up with a selection of Dr. Matthew Haines’ sabbatical work on “Playing Catch Up on The Chase and Bertrand’s Ballot Problem” during Augsburg’s Mathematics Colloquium Series at 3:40-4:40 p.m., Wednesday, October 19, 2022 in Hagfors 150A.

The Chase is a television game show (2009-present in UK; from 2013-2015; 2021-present in US) that consists of three rounds and three contestants. This presentation explores the probability of a contestant “being caught” by the chaser in the second round of the game. A solution will first be developed using Markov chains, and subsequently improved upon by a method revealing a connection to a generalized version of Bertrand’s Ballot Problem.