
TL;DR
This paper generalizes Penney's game to multiple players, deriving probability functions and extending Conway's formula to accommodate many participants in the game.
Contribution
It introduces a combinatorial approach to compute winning probabilities for multiple players and generalizes Conway's formula beyond two-player scenarios.
Findings
Derived probability functions for each player in multi-player Penney's game
Extended Conway's formula to cases with many participants
Provided a combinatorial framework for analyzing complex Penney's game scenarios
Abstract
We recall a combinatorial derivation of the functions generating probability of winnings for each of many participants of the Penney's game and show a generalization of the Conway's formula to this case.
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