---
title: "evenBreak"
author: Barry Zeeberg [aut, cre]
date: "`r Sys.Date()`"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{evenBreak}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---


<style>
body {
text-align: justify;
font-size: 16pt;
font-family: Times;}
</style>

<p class=MsoNormal align=center style='text-align:center'><b style='mso-bidi-font-weight:
normal'><span style='font-size:16.0pt;font-family:"Times New Roman",serif'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal align=center style='text-align:center'><b style='mso-bidi-font-weight:
normal'><span style='font-size:16.0pt;font-family:"Times New Roman",serif'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal align=center style='text-align:center'><b style='mso-bidi-font-weight:
normal'><span style='font-size:16.0pt;font-family:"Times New Roman",serif'>Barry
Zeeberg<o:p></o:p></span></b></p>

<p class=MsoNormal align=center style='text-align:center'><b style='mso-bidi-font-weight:
normal'><span style='font-size:16.0pt;font-family:"Times New Roman",serif'>barryz2013@gmail.com<o:p></o:p></span></b></p><br>

We quantitatively evaluated the assertion that says if one suit is found to
be evenly distributed among the 4 players, the rest of the suits are more
likely to be evenly distributed. Our mathematical analyses show that, if
one suit is found to be evenly distributed, then a second suit has a slightly
elevated probability (ranging between 10% to 15%) of being evenly
distributed. If two suits are found to be evenly distributed, then a third suit
has a substantially elevated probability (ranging between 30% to 50%) of
being evenly distributed. The probabilities for more unbalanced
distributions decrease in similar proportion, but these probabilities are
quite low to start with, so the further decreases may only rarely be of
practical significance.

The full manuscript is available in the inst/pdf folder.