• SjmarfOP
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    3 months ago

    The normal person thinks that because the last 20 people survived, the next patient is very likely to die.

    The mathematician considers that the probability of success for each surgery is independent, so in the mathematician’s eyes the next patient has a 50% chance of survival.

    The scientist thinks that the statistic is probably gathered across a large number of different hospitals. They see that this particular surgeon has an unusually high success rate, so they conclude that their own surgery has a >50% chance of success.

    • Deconceptualist
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      593 months ago

      Thanks. I suspect a mathematician would consider the latter point too though.

      • arefx
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        3 months ago

        Anyone with a good high school education should understand this.

        • Deconceptualist
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          13 months ago

          That’s sort of why I asked. I thought I was missing something but no, the meme is apparently assuming academic professionals are dummies. Not to say that we should expect nuance and robust portrayals from a meme.

      • SjmarfOP
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        53 months ago

        Or do think there’s something special about the person that makes them flip tails more often?

        Yes, that’s the conclusion that the scientist has come to. The chance of getting 20 in a row is so extraordinarily unlikely that it’s reasonable to conclude that the chance is not 50/50 for that particular surgeon.