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  • ColonBowel
    +2

    Why isn't the choice to stay or switch independent from the first choice to choose one of the 3?

    • redalastor
      +5

      Do you agree that when you choose your initial door, the probability of being right is 1/3? Baring a switcheroo behind the door, that probability cannot change. The car won't jump to or away from the door.

      The other doors also have 1/3 chances. Until Monty opens one, now that door has 0/3 chances of being right. You door is still 1/3, we already established it can't change. There's now 1/3 unaccounted for. Where did it go? To the remaining door which brings it to 2/3.

      • ColonBowel
        +4

        Ohhhhhhhhhhhhhhhhhh! I got it now. Thanks!