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A Coin-Tossing Conundrum

Other Statistics 2017-10-04 v1 Probability

Abstract

It is shown that an equiprobability hypothesis leads to a scenario in which it is possible to predict the outcome of a single toss of a fair coin with a success probability greater than 50%. We discuss whether this hypothesis might be independent of the usual hypotheses governing probability, as well as whether this hypothesis might be assumed as a result of the Principle of Indifference. Also discussed are ways to implement or circumvent the hypothesis.

Keywords

Cite

@article{arxiv.1710.01298,
  title  = {A Coin-Tossing Conundrum},
  author = {James Stein and Leonard M. Wapner},
  journal= {arXiv preprint arXiv:1710.01298},
  year   = {2017}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-22T22:02:45.200Z