Independent Events in a Simple Random Experiment and the Meaning of Independence

2012/04/30 by Isaac M. Sonin, Sonin, Isaac M.
Computer Science · Decision Sciences · Mathematics · #60A05 #60C05 #Advanced Statistical Process Monitoring #Advanced Text Analysis Techniques #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Probability (math.PR) #math.CO #math.PR #msc:60A05 #msc:60C05

paper · pdf · doi:10.48550/arxiv.1204.6731

6 pages

arxiv created 2012/04/30 · openalex publication_date 2012/04/30 · arxiv updated 2012/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We count the number and patterns of pairs and tuples of independent events in a simple random experiment: first a fair coin is flipped and then a fair die is tossed. The first number, equal to 888,888, suggest that there are some open questions about the structure of independence even in a finite sample space. We discuss briefly these questions and possible approaches to answer them.

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