JH
Jonathan Haber
Kahneman & Tversky — Linda problem

Why do people rate a detailed scenario as more probable than a simpler one that contains it?

How narrative coherence tricks probability judgment — and how to think past it

Short answer

The conjunction fallacy is the well-replicated tendency to judge a specific combination of events as more probable than one of its components alone — made famous by Kahneman and Tversky’s Linda problem. It happens because vivid, representative details hijack probability judgment, and the fix is to reason about base rates rather than narrative fit.

Kahneman and Tversky’s 1983 Linda problem revealed a striking error: when people were told Linda was a philosophy graduate who cared about social justice, they rated "Linda is a bank teller and feminist activist" as more probable than "Linda is a bank teller" — even though the conjunction can never exceed either component alone. The error survives even when subjects have training in probability. The practices here target the representativeness-driven shortcuts that produce this failure, not just in textbook puzzles but in career decisions, medical reasoning, and strategic planning.

The practices (7)

Why it works

The conjunction fallacy arises because the mind evaluates scenarios by how well they fit a mental prototype, not by the arithmetic of probability. Forcing yourself to assign a probability to each component independently imposes the logical constraint that P(A and B) ≤ P(A) — a rule our intuition routinely violates when B makes A "make more sense." Explicit decomposition activates deliberate reasoning and dislodges the representativeness anchor.

How to do it
  1. 1Identify the conjunction: write out the two or more claims being combined ("she is a teller AND an activist").
  2. 2Estimate the probability of each element independently, without letting one inform the other.
  3. 3Apply the logical constraint: the joint claim cannot be more likely than the least likely element.
  4. 4If your initial intuition violates this, treat that gap as a prompt to revisit the evidence.
Evidence
Observational

Tversky and Kahneman (1983) demonstrated the conjunction fallacy across many populations and scenarios, including medically trained subjects; the error is robust and not explained by misunderstanding the question.

Honest caveat: Some researchers argue that subjects interpret "probable" as "plausible" or that conversational pragmatics shift the meaning; the core finding is nonetheless replication-stable.

  • — Tversky & Kahneman (1983), Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment, Psychological Review
Common mistake: Decomposing the conjunction into components but still letting the narrative connection between them inflate the joint estimate — the components must be assessed truly independently.
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