An interesting problem: part 1

Imagine you're on a game show and you are asked to choose from one of three doors. In one door, there's a prize (a beautiful car) and on the other two doors, there is a goat on each door.


After you choose the door, the game show host will show where one of the goats is from the remaining two doors (remember there are two goats to start with, which means that no matter which door you choose, there will always be at least another goat on the doors that you didn't choose). In addition to showing you where one of the goats is, the game show host gives you the opportunity to swap between the original door that you chose and the remaining door.


So, faced with this decision what would you do? Would you stick with your initial decision? Or would you swap doors?

Think about it for a while. I will post the solution (UPDATE: check here) and hopefully some interesting results from a simulation soon :-)