"The Monty Hall Problem" by Brian Johnson

Math in the Middle Institute Partnership

 

Date of this Version

7-2009

Citation

In partial fulfillment of the requirements for the Master of Arts in Teaching with a specialization in the Teaching of Middle Level Mathematics

Department of Mathematics, University of Nebraska-Lincoln

Under the supervision of Gordon Woodward

Lincoln, Nebraska, July 2009

Comments

Copyright 2009, Brian Johnson. Used by permission

Abstract

In the game show "Let's Make a Deal", host Monty Hall would present a contestant with three doors. Behind one door is a car and behind the other two doors are goats. The contestant picks one door, after which Monty opens one of the other doors, showing a goat. Monty then offers the contestant the opportunity to keep the same door or switch to the other unopened door; the contestant will get to keep whatever is behind that door. Should the contestant switch?

Advisor: Gordon Woodward

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