Welcome to Monty's Hall
According to Wikipedia, In the Monty Hall problem there are three doors.
A car (prize of high value) is behind one door and goats (booby prizes of low value)
are behind the other two doors. First, the player chooses a door but does not open it.
Then the host opens a different door. The host knows what is behind every door, and always chooses a door with a goat behind it.
Last, the player chooses whether to keep what is behind the original door or to change to the remaining door (the one the host did not open).
Is it better to switch or stay?
Player does not switch his guess after
the game host reveals a goat door.
the game host reveals a goat door.