Changes

== Problem Statement ==

== Problem Statement ==

A contestant on a game show is presented with three doors.  Behind one of the doors is a car, and behind the other two doors are goats.  The contestant chooses door 1.  The host must then reveal open a door to reveal a goat; he opens door 3.  The host then gives the contestant a chance to switch his choice to door 2.  If the contestant is trying to win the car, is it to his advantage to switch his choice?

A contestant on a game show is presented with three doors.  Behind one of the doors is a car, and behind the other two doors are goats.  The contestant chooses door 1.  The host must then open a door to reveal a goat; he opens door 3.  The host then gives the contestant a chance to switch his choice to door 2.  If the contestant is trying to win the car, is it to his advantage to switch his choice?

== Solution ==

== Solution ==