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>since it obviously has odds of two in three of being right.

this is where y'all lose me (but I'm sure only momentarily). isn't the door revealed by Monty out of play, leaving just the two - one good and one not so?




Ok, back to my thought experiment. You've chosen one of the cards and have a one in three chance of being right. Now I put a finger on one of the other cards. Have the odds of your being right changed? If so, why?