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Revisiting Banach’s Matchbox Problem

Author

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  • Sayantan Banerjee

    (Operations Management & Quantitative Techniques, Indian Institute of Management Indore, India)

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.

Suggested Citation

  • Sayantan Banerjee, 2018. "Revisiting Banach’s Matchbox Problem," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(3), pages 39-40, June.
    • Handle: RePEc:adp:jbboaj:v:7:y:2018:i:3:p:39-40
    DOI: 10.19080/BBOAJ.2018.07.555711
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