Day 82 of 150 Logic Difficulty 5/10
Natural frequencies make Bayesian reasoning click
Quick answer
Natural frequencies make Bayesian reasoning click. Today's question (Bayesian reasoning with natural frequencies) asks about a finding from Gigerenzer, G., & Hoffrage, U. in 1995. The correct option is Natural frequencies (e.g., '8 out of 10 sick patients test positive; 95 out of 990 healthy ones also test positive') — full explanation, primary source, and glossary cross-links below.
Today's question
Gigerenzer and Hoffrage (1995) showed that doctors and laypeople made far better Bayesian inferences when test-result information was presented as:
Reveal the answer and explanation
Correct: B — Natural frequencies (e.g., '8 out of 10 sick patients test positive; 95 out of 990 healthy ones also test positive')
Gigerenzer and Hoffrage (1995) showed that the notorious difficulty of Bayesian inference problems (e.g., 'given a positive mammogram, what is the probability of breast cancer?') largely vanishes when probabilities are reformatted as natural frequencies — counts of cases out of a reference population. With the same numerical content, accuracy on classic medical and legal Bayesian problems jumped from roughly 16% to 46% in their experiments. They argued evolution adapted human reasoning to count-like ecological data; modern probability formats translate poorly. The result has reshaped medical statistics teaching and risk communication.
About the source
Gigerenzer, G., & Hoffrage, U. (1995). How to improve Bayesian reasoning without instruction: Frequency formats. Psychological Review, 102(4), 684–704.
Every Cognition Bible question cites a primary source — a paper, book chapter, or monograph that exists, that we can point to on Google Scholar, and whose finding the question accurately summarizes. No fabricated authority strings, no name-drops without paper-level grounding.
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