Revisiting Banach’s Matchbox Problem

Sayantan Banerjee
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Sayantan Banerjee: Operations Management & Quantitative Techniques, Indian Institute of Management Indore, India

Biostatistics and Biometrics Open Access Journal, 2018, vol. 7, issue 3, 39-40

Abstract: We revisit the famous Banach’s matchbox problem, where we give a fully probabilistic argument that probabilities arising in this context indeed sum up to one, that is, they define a probability mass function. Our proof avoids any combinatorial or inductive argument, and rather relies on probabilistic logic which students in the undergraduate level learning probability may find interesting.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:7:y:2018:i:3:p:39-40

DOI: 10.19080/BBOAJ.2018.07.555711

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