• affiliate@lemmy.world
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      1 year ago

      after switching the probability becomes 66%. we talked about this one in my theory of probability class, it’s very counterintuitive!

        • Enkrod@feddit.de
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          1 year ago

          You have Doors “Win” “Lose” and “Lose”

          There is a 33% chance to pick a winning door and a 66% chance to pick a losing door.

          If you pick one of the losing doors, the other losing door is revealed and switching gives you 100% success. That combines to 100% in 66% of cases.

          If you pick the winning door one of the losing doors is revealed, switching gives you a 0% chance of success. That combines to 0% in 33% of cases.

          Always switching gives you 66% chance of success overall. Always staying is betting on having picked the correct door when you only had a 33% chance of picking correctly.

          For all the pedants out there: the remaining 1% is the chance of summoning the ghost of Monty Hall who then drags you to probability hell. Probably.