The Local Maximum with Max Sklar

Ep. 267 - Bernoulli's Fallacy with Aubrey Clayton

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Feb 28, 2023
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INSIGHT

Bernoulli's Fallacy

  • Bernoulli's Fallacy involves focusing solely on the probability of data given a hypothesis, neglecting prior knowledge.
  • This ignores crucial context and can lead to false conclusions, as seen in the Prosecutor's Fallacy.
ANECDOTE

Sally Clark Case

  • Sally Clark was convicted of murdering her two children after a flawed statistical argument.
  • The prosecution wrongly focused on the low probability of two infant deaths, ignoring prior probabilities.
ANECDOTE

Lottery Ticket Example

  • If someone wins the lottery, the probability of them having bought a ticket is small, yet it's the only explanation.
  • This highlights how focusing solely on likelihoods can be misleading without considering alternative hypotheses.
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