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Discussion

Consider the following pairings in probabilistic reasoning.

Prior - belief before the evidence

Likelihood - probability of evidence given hypothesis

Posterior - belief after conditioning

Base rate fallacy - overweighting the prior probability

How many of the pairs given above are correctly matched?

  • A.Only one
  • B.Only two
  • C.All four
  • D.Only three

Answer: D

The first three are correct. The base rate fallacy consists in ignoring the prior rather than overweighting it, so a positive test for a rare condition is read as though the test's accuracy were the answer. Getting the direction of the error right matters, since the remedy is to attend to the base rate rather than to discount it.

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