The Monty Hall Problem

August 23, 2017

An interesting mathematical investigation into the probability behind Let's Make a Deal - an American game show first broadcast in the States back in 1963 but which has since been produced in similar formats across the globe.

It involves a contestant having to choose one of three doors.  Behind one door is a prize car and behind the other two are goats.  The contestant doesn't know what is behind each door, unlike the host of the show (originally Monty Hall).  After the contestant has chosen a door, the host then reveals a goat behind one of the other two doors.  He/she then offers the contestant the opportunity to switch their chosen door to the now only other remaining unopened door.

The big question... is it better to stick or switch?  Does it make a difference?

Please find Word document attached.

The Monty Hall Problem


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