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Another chance for good reasoning.

Stefania Pighin1, Katya Tentori2, Vittorio Girotto3

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Summary
This summary is machine-generated.

This study shows that people perceive chances differently from natural frequencies. Using chances aids Bayesian inference, suggesting laypeople can handle probability problems when presented accessibly.

Keywords:
Bayesian reasoningChancesNatural frequenciesProbabilistic reasoningSingle-event probability

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Area of Science:

  • Cognitive Psychology
  • Decision Science
  • Probability Theory

Background:

  • Debate exists on whether humans can perform Bayesian inferences with single-event probabilities.
  • A key objection is that 'chances' are merely disguised natural frequencies.
  • Girotto and Gonzalez (2001) proposed the mind can make sound Bayesian inferences.

Purpose of the Study:

  • To empirically investigate the cognitive status of 'chances' in probability perception.
  • To determine if chances are perceived as distinct from natural frequencies.
  • To assess the impact of chances on Bayesian inference tasks.

Main Methods:

  • Empirical study involving participants' perception of numerical chances.
  • Comparison of how chances and natural frequencies are processed cognitively.
  • Assessment of Bayesian inference performance using different representational formats.

Main Results:

  • Numbers of chances are perceived as distinct from natural frequencies.
  • Chances significantly facilitate Bayesian inference tasks.
  • This facilitatory effect is independent of any frequentist interpretation of chances.

Conclusions:

  • The hypothesis that natural frequencies are the privileged format for Bayesian inference is disconfirmed.
  • Laypeople can adequately solve single-event probability problems when presented using numbers of chances.
  • Chances offer a computationally accessible format for genuine probability reasoning.