arXiv — NLP / Computation & Language · · 3 min read

How reliable are LLMs when it comes to playing dice?

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Computer Science > Computation and Language

arXiv:2606.07515 (cs)
[Submitted on 5 Jun 2026]

Title:How reliable are LLMs when it comes to playing dice?

View a PDF of the paper titled How reliable are LLMs when it comes to playing dice?, by Luca Avena and 2 other authors
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Abstract:We investigate the probabilistic reasoning capabilities of large language models through a controlled benchmarking study on discrete probability problems. We constructed two datasets, respectively a set of standard exercises and a set of counterintuitive exercises, designed to trigger heuristic reasoning, and evaluated 8 state-of-the-art models, each tested with and without Chain-of-Thought prompting. Models achieve an average accuracy of 0.96 on standard problems but only 0.59 on counterintuitive ones. We further provide empirical evidence of token bias: performance drops by over 20% when canonical formulations are replaced by disguised variants. Embedding misleading suggestions in the prompt reduces performance by up to 34%, with no model proving immune. Taken together, the reported findings suggest that current LLMs are not yet genuine probabilistic reasoners, despite their success in advanced mathematical problems.
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI); Human-Computer Interaction (cs.HC); Probability (math.PR)
Cite as: arXiv:2606.07515 [cs.CL]
  (or arXiv:2606.07515v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2606.07515
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Gianmarco Bet [view email]
[v1] Fri, 5 Jun 2026 17:59:42 UTC (727 KB)
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