(March 15, 2016 at 1:48 am)Aractus Wrote:(March 15, 2016 at 12:36 am)Jenny A Wrote: Sort of. The probability is based on knowing he will always reveal a door you didn't choose. Otherwise he might only reveal another door if you have already chosen the prize. But, if he must reveal a door, his intentions are irrelivant. If he reveals a goat, your best bet is to switch. If he revealed the car, but didn't let you chose it, there's no option to consider.
Incorrect, I already proved it. If he intentionally picks the car, but has opened a goat that means you must have selected the door with the car, and switching in that case will guarantee you loose. His intentions are the only reason there's a benefit to switching.
If he must show you a door you haven't picked, than his intentions are irrelivant. He can't show you the car because that would spoil the game. Therefore he will show you a goat. And you will learn from that that switching is the better option.
If there is a god, I want to believe that there is a god. If there is not a god, I want to believe that there is no god.