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

Probability 2012-05-01 v1 Combinatorics

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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Cite

@article{arxiv.1204.6731,
  title  = {Independent Events in a Simple Random Experiment and the Meaning of Independence},
  author = {Isaac M. Sonin},
  journal= {arXiv preprint arXiv:1204.6731},
  year   = {2012}
}

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6 pages