Beyond the Uniform Guess: An Exact Solution to a Non-Uniform Birth-Month Coincidence Problem

Exact solution to a non-uniform birth-month coincidence problem using elementary symmetric polynomials; corrects intuitive magnitude estimates and verifies that uniformity maximizes the all-distinct probability.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22750176
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
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preprint

Beyond the Uniform Guess: An Exact Solution to a Non-Uniform Birth-Month Coincidence Problem

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
preprint

Beyond the Uniform Guess: An Exact Solution to a Non-Uniform Birth-Month Coincidence Problem

Amirhossein MoradiSizkouhi
preprint en

Abstract

Exact solution to a non-uniform birth-month coincidence problem using elementary symmetric polynomials; corrects intuitive magnitude estimates and verifies that uniformity maximizes the all-distinct probability.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Reduced inequalities
Advanced Combinatorial Mathematics
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Beyond the Uniform Guess: An Exact Solution to a Non-Uniform Birth-Month Coincidence Problem — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS