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Cake day: June 13th, 2023

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  • incogtino@lemmy.ziptoAsklemmy@lemmy.mlWhats your such opinion
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    11 months ago

    Only if Monty Hall didn’t know where the prize is

    Say there are 100 doors, you choose one, then 98 are knocked out randomly (likely including the prize) - Now each of the 2 doors has the same chance of winning, so there is no reason to change

    But starting with 100 doors and a knowledgeable Monty Hall, once you’ve chosen a door, the only reason Monty Hall leaves your door alone is because you chose it, whether it is the 1/100 winner, or one of the 99/100 losers

    Either you chose the right door the first time (1/100 chance) or the other door has the prize behind it - those are the only options - the other door literally represents the 99/100 other doors in a single choice