Editing Monty Hall (section)

===Monty Hall Problem===
Based on (a common misunderstanding of) the ''LMaD'' finale, the Monty Hall Problem goes like this: Monty Hall presents you with three doors, one door hiding the treasure and two doors hiding goats. You pick one door, but that door doesn't open yet, Monty opens one of the goat doors instead. Now Monty asks you, do you want to swap your first pick with the other closed door? (This exact situation never showed up on ''LMaD'', it comes from an 1889 puzzle book and got conflated with Monty Hall much later)

In 1990, a mathematician named Marilyn vos Savant received a question in Selvin's vein, to which she claimed that you should switch your choice after one of the doors got opened. She got a lot of [[RAGE]] for her answer by a bunch of people who called bullshit. Somehow, Selvin is correct; the math is hard to explain, so it's best to just look at [https://en.wikipedia.org/wiki/Monty_Hall_problem#Simple_solutions| this table] and take her word for it; just remember that this is [[RAW|one of those problems that rely very heavily on how the rules of the game are laid out.]]

In more detail:
# If you're presented with three doors in a blind pick and asked "which door has the treasure?" you have a 1 in 3 chance of being right. The second question "do you want to change your pick?" is, statistically, the same as asking "was your first pick wrong?" And yes, there's a 2 in 3 chance your first pick was wrong. 
# That being said, the problem, ''as usually written up'', leaves open the possibility that the host ''only offers you the chance if you selected the correct door'', sometimes known as the "Evil Monty" scenario; since most versions of the problem unintentionally leave open this possibility,  we're left, much like the "third word in the english language ending in -gry" riddle, with [https://xkcd.com/169/ only the option of cutting off the arm of the person who asked the question] as a correct answer.

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