A description–experience gap in statistical intuitions: Of smart babies, risk-savvy chimps, intuitive statisticians, and stupid grown-ups
Open accessAbstract
Comparison of different lines of research on statistical intuitions and probabilistic reasoning reveals several puzzling contradictions. Whereas babies seem to be intuitive statisticians, surprisingly capable of statistical learning and inference, adults' statistical inferences have been found to be inconsistent with the rules of probability theory and statistics. Whereas researchers in the 1960s concluded that people's probability updating is "conservatively" proportional to normative predictions, probability updating research in the 1970s suggested that people are incapable of following Bayes's rule. And whereas animals appear to be strikingly risk savvy, humans often seem "irrational" when dealing with probabilistic information. Drawing on research on the description-experience gap in risky choice, we integrate and systematize these findings from disparate fields of inquiry that have, to date, operated largely in parallel. Our synthesis shows that a key factor in understanding inconsistencies in statistical intuitions research is whether probabilistic inferences are based on symbolic, abstract descriptions or on the direct experience of statistical information. We delineate this view from other conceptual accounts, consider potential mechanisms by which attributes of first-hand experience can facilitate appropriate statistical inference, and identify conditions under which they improve or impair probabilistic reasoning. To capture the full scope of human statistical intuition, we conclude, research on probabilistic reasoning across the lifespan, across species, and across research traditions must bear in mind that experience and symbolic description of the world may engage systematically distinct cognitive processes.
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Many experiments showing biases in system 1 thinking, such as base-rate fallacies, could be partly attributed to experiment design.
“For example, many experiments showing biases system 1 thinking, such as base-rate fallacies, could be partly attributed to the experiment design [35]”
From Explainable AI is Dead, Long Live Explainable AI!: Hypothesis-driven Decision Support using Evaluative AI (2023) · cites this paper as [35]
There is now sufficient research questioning whether the system 1 vs system 2 distinction is so clear.
“Second, there is now sufficient research questioning whether the system 1 vs system 2 distinction is so clear [25,35].”
From Explainable AI is Dead, Long Live Explainable AI!: Hypothesis-driven Decision Support using Evaluative AI (2023) · cites this paper as [35]
Differences might be expected given claims that probabilistic and statistical reasoning is more difficult when probabilities are described rather than experienced (the description-experience gap).
“Differences might be expected given claims that probabilistic and statistical reasoning is more difficult when probabilities are described rather than experienced (i.e., the description-experience gap; e.g., Schulze and Hertwig, 2021).”
From Probability matching and statistical naïveté (2025) · cites this paper as Schulze and Hertwig, 2021
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NONVERBAL PROBABILITY JUDGMENTS BY YOUNG CHILDREN1
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Flagged first, then by citations
Research works printed but not linked: 4
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- Hogarth, R. M. (2001). Educating intuition. The University of Chicago Press.
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Cited by
Sorted by citations
Miller, T. (2023) · 2023 ACM Conference on Fairness Accountability and Transparency · doi:10.1145/3593013.3594001 · Cited by 172 · see citing works
Probability matching and statistical naïveté
Barlow, M., Doan, T., Friedman, O., & Denison, S. (2025) · Judgment and Decision Making · doi:10.1017/jdm.2025.10014 · Cited by 1 · see citing works
- Authors
- Schulze, C., & Hertwig, R.
- Affiliations
- Max Planck Institute for Human Development (DE)
- Corresponding author
- Schulze, Christin
- Venue
- Cognition
- Publisher
- Elsevier BV
- Published
- 2021-05
- Volume
- 210
- Pages
- 104580
- ISSN
- 0010-0277 (ISSN-L)
- OpenAlex
- W3128498561
- Cited by
- 36
- References
- 209
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 6 · 2023: 13 · 2022: 5 · 2021: 2 · 2017: 1
- FWCI
- 4.35
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Cognition (publishedVersion, cc-by)
- PubMed (publishedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- Topics
- Social Sciences › Decision Sciences › General Decision Sciences › Decision-Making and Behavioral Economics
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistics Education and Methodologies
- Keywords
- probabilistic reasoning, description-experience gap, statistical learning, statistical inference, probability updating, decision making under risk, chimpanzees, infants, cognitive development, symbolic representation, experiential learning
- MeSH terms
- Adult, Animals, Bayes Theorem, Pan troglodytes, Cognition, Humans, Infant, Problem Solving, Intuition
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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