I need to confirm this scenario.
1 - The contestant picks a door with a goat behind it.
2 - The host opens this door and reveals the goat.
3 - The host gives the contestant the chance to pick a new door from the two remaining ones.
4 - contestant picks a new door.
5 - The classic scenario. Do you change the door or stay in the same door?
The probability is the same as the original problem (2/3)?
Cheers.
If I understand this correctly, the host opens the door that the contestant had chosen initially and reveals it to contain a goat ... after which the contestant picks one of the other two doors ... after which the contestant is given a chance to switch?
If so, it's just 50-50: what we know about the two remaining doors is completely symmetrical, and the prize has to be behind one of them.