RE: The role of probability in solving the Monty Hall problem
March 13, 2016 at 9:01 am
(This post was last modified: March 13, 2016 at 9:02 am by Excited Penguin.)
(March 13, 2016 at 8:58 am)robvalue Wrote: No wait. It doesn't even matter if it's random or not. As long as I choose my first door randomly, he can't psych me out.
Whether it's random or not is irrelevant. In order for you to know that you truly have a 2/3 chance to win if you switch you would have to also know that no matter how many times the game is played, each door will be chosen the same amount of times. For example, if they play it 999 times, then door 1 will be picked 333 times, door 2 333 times and door 3 333 times. Otherwise, door 1 could be picked 999 times and your switch strategy means shit if that's the door you're switching to and there's a goat behind it.