Drawing a circular diagram with objects on its circumference

Question

I would like to draw a circular diagram with objects on its circumference similar to this MWE provided by Zarko(I get errors on my computer when running this code but it worked fine for Zarko):

    \documentclass[border=3.141592mm]{standalone}

\usepackage{tikz}
\usetikzlibrary{arrows.meta,
                positioning}

    \begin{document}
        \begin{tikzpicture}[
    node distance = 22mm and 11mm,
         C/.style = {circle, draw, minimum size=#1},
       C/.default = 24mm
    every label/.append style = {inner sep=1pt}
                            ]
    \node (a) [C]   {};
        \foreach \i in {30, 150, 270}
            \draw (a.center)  ++ (\i:9mm) -- ++ (\i:6mm); 
        \node[font=\Large, label= above:A, label=below:1]   at (a.90) {$\times$};
        \node[C=2mm, label=210:B, label=30:2]   at (a.210) {};
        \node[C=2mm, label=330:C,label=150:3]   at (a.330) {};
    \node (b) [C, below  left=of a]  {};
    \node (c) [C, below right=of a]  {};
    %
    \draw[very thick, -Straight Barb]   ([yshift=-4mm] a.south) -- ++ (0,-7mm);
        \end{tikzpicture}
    \end{document}

I need a circle cut equally in 3 parts labelled A,B and C with objects(circular and 'x') in the cut circumference.

EDIT: Firstly, thanks for the answer gernot. Now, I to add this information on the page:

\begin{align*}
\textbf{Time 0}\\
(i)  \quad  1&=i \text{ in } A\\
(ii) \quad  2&=s \text{ in } B\\
(iii)\quad  3&=s \text{ in } C\\ 
\end{align*}

\text{Let  } $[(i,A), (s,B), (s,C)]= X$.

so this is how I want the page to split: |x|x|image| in other words, I want to split the page in 3(without the lines) and have info where it marked "x". I don't know how to align all 3 items.

Answer 1

The code below defines a command

 \board[optional scale factor]{list of triples angle/number/mark}

that draws the circular diagram. The optional argument is the scale factor and defaults to 1.0. The mandatory argument is a comma separated list of triples like 90/1/\cross (node at 12 o'clock numbered 1 and marked with a cross) or 210/2/ (node at 8 o'clock numbered 2 without mark).

\documentclass{article}
\usepackage{tikz}
% \board[optional scale factor, default 1.0]{list of triples angle/number/mark}
\newcommand\board[2][1.0]{%
  \begin{tikzpicture}[baseline={(0,0)},scale=#1]
    \draw (0,0) circle (1);
    % radial lines at angles 30°, 150° and 270°
    \foreach \a in {30, 150, 270}
      \draw (\a:0.9) -- (\a:1.1);
    % label A/B/C outside of circle at angles 90°, 210° and 330°
    \foreach \a/\l in {90/A,210/B,330/C}
      \node at (\a:1.4) {\scriptsize$\l$};
    % draw game positions
    % \a ... angle, \n ... number 1/2/3, \m ... mark  
    \foreach \a/\n/\m in {#2} {
      % node
      \node[circle,draw,minimum size=1em,inner sep = 0,fill=white] at (\a:1) {\m};
      % number inside of circle
      \node at (\a:0.6) {\scriptsize$\n$};
  }
  \end{tikzpicture}%
}
\newcommand\cross{$\times$}
\begin{document}
\begin{center}
  \board[0.8]{90/1/\cross,210/2/,330/3/}\\
  \begin{tabular}[t]{@{}c@{}}
    \board[0.8]{90/2/,190/1/\cross,230/3/}\\
    move
  \end{tabular}
  \begin{tabular}[t]{@{}c@{}}
    \board[0.8]{90/2/,190/1/,230/3/\cross}\\
    status
  \end{tabular}
\end{center}
\end{document}

To arrange the text and the diagrams as shown in the picture, you can use all the possibilities offered by LaTeX. The \board{...} commands behave like (big) letters aligned in the center. For additional graphical elements, you can use the approach described in my answer to "How to add arrow in equations and matrix?".

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows} % needed for arrow tip stealth'
\newcommand\tikznode[3][]{%
  \tikz[remember picture,baseline=(#2.base)]
    \node[minimum size=0pt,inner sep=0pt,#1](#2){#3};%
}
% \board[optional scale factor, default 1.0]{list of triples angle/number/mark}
\newcommand\board[2][1.0]{%
  \begin{tikzpicture}[baseline={(0,0)},scale=#1]
    \draw (0,0) circle (1);
    % radial lines at angles 30°, 150° and 270°
    \foreach \a in {30, 150, 270}
      \draw (\a:0.9) -- (\a:1.1);
    % label A/B/C outside of circle at angles 90°, 210° and 330°
    \foreach \a/\l in {90/A,210/B,330/C}
      \node at (\a:1.4) {\scriptsize$\l$};
    % draw game positions
    % \a ... angle, \n ... number 1/2/3, \m ... mark  
    \foreach \a/\n/\m in {#2} {
      % node
      \node[circle,draw,minimum size=1em,inner sep = 0,fill=white] at (\a:1) {\m};
      % number inside of circle
      \node at (\a:0.6) {\scriptsize$\n$};
  }
  \end{tikzpicture}%
}
\newcommand\cross{$\times$}
\begin{document}

\paragraph{Time 0}\mbox{}\\
\begin{tabular}{@{}p{5em}@{}}
  $1=i$ in $A$\\
  $2=s$ in $B$\\
  $3=s$ in $C$
\end{tabular}
$\longrightarrow$
\tikznode{X}{$[(i,A),(s,B),(s,C)]=X$}
\board[0.9]{90/1/\cross,210/2/,330/3/}

\paragraph{Time 1}\mbox{}\\
\begin{tabular}{@{}p{5em}@{}}
  $1=r$ in $B$\\
  $2=s$ in $A$\\
  $3=i$ in $B$
\end{tabular}
$\longrightarrow$
\tikznode{Y}{$[(r,B),(s,A),(i,B)]=Y$}
\begin{tabular}[t]{@{}c@{}}
  \board[0.9]{90/2/,190/1/\cross,230/3/}\\
  move
\end{tabular}
\begin{tabular}[t]{@{}c@{}}
  \board[0.9]{90/2/,190/1/,230/3/\cross}\\
  status
\end{tabular}

\begin{tikzpicture}[remember picture,overlay,>=stealth',shorten <=2pt,shorten >=2pt]
  \draw[->] (X) edge[bend left] node[right]{$P_{xy}=p/8$} (Y);
\end{tikzpicture}
\end{document}