A Coin-Tossing Conundrum

TL;DR

This paper explores how an equiprobability hypothesis could allow predicting a fair coin toss with over 50% success, challenging traditional probability assumptions and examining its implications and possible implementations.

Contribution

It introduces a novel equiprobability hypothesis that questions standard probability theory and discusses its potential independence and practical applications.

Findings

Possible prediction success rate exceeds 50%

Discussion on independence from traditional probability hypotheses

Proposals for implementing or circumventing the hypothesis

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.