Playing Several Patterns Against One Another
Probability
2015-07-07 v1
Abstract
We revisit the game in which each of several players chooses a pattern and then a coin is flipped repeatedly until one of these patterns is generated. In particular, we demonstrate how to compute the probability of any one player winning this game, and find the distribution of the game's duration. Our presentation is an extension (and perhaps a simplification) of the results of Blom and Thornburn.
Cite
@article{arxiv.1507.01322,
title = {Playing Several Patterns Against One Another},
author = {Jan Vrbik and Paul Vrbik},
journal= {arXiv preprint arXiv:1507.01322},
year = {2015}
}