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)?