Probabilistic chip-collecting games with modulo winning conditions
Combinatorics
2022-10-06 v1
Abstract
Let , , and be integers with . In a certain two-player probabilistic chip-collecting game, Alice tosses a coin to determine whether she collects chips or chips. If Alice collects chips, then Bob collects chips, and vice versa. A player is announced the winner when they have accumulated a number of chips that is a multiple of . In this paper, we settle two conjectures from the literature related to this game.
Cite
@article{arxiv.2201.10506,
title = {Probabilistic chip-collecting games with modulo winning conditions},
author = {Joshua Harrington and Xuwen Hua and Xufei Liu and Alex Nash and Rodrigo Rios and Tony W. H. Wong},
journal= {arXiv preprint arXiv:2201.10506},
year = {2022}
}