Why doesn't the probability work like this? Why couldn't you represent it with a 3 sided die and then later a coin flip?
Perhaps true answer is that the 1 in 3 chance was an illusion, you always had the 1 in 2 chance but didn't know until after door 3 opened. Seems like common sense though.
If you understand, please represent this in conceptual tokens if possible, if not a coin toss, then what tokens are necessary?