• fri@compuverse.uk
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    1 year ago

    I never understood why in the 100-door case, the host opens 98 doors, and not just one door. That feels like changing the rules.

    I fully understand the original problem with 3 doors; I know the win probability is 2/3 if you change. But whenever I hear the explanation for 100 doors case, it just makes everything confusing. By opening 98 doors, it feels like the host wants you to switch to the other door. In 3 doors case it’s more natural.

    • Natanael@slrpnk.net
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      1 year ago

      Because the problem is explicitly about the choice between two doors. You have to eliminate all but two choices.

      But even then, you’d still have a better chance by switching.

      Your intuition about the change is the whole point - it exposes why the result is what it is.