پاسخ شما به صورت زیر خواهد بود:
\documentclass[12pt,a4paper]{report}
\usepackage{amsmath,tikz}
\usepgflibrary{arrows}
\usepackage[colorlinks=true]{hyperref}
\usepackage{amssymb}
\usepackage{xepersian}
\settextfont{XB Niloofar}
\tikzstyle{vertex}=[circle, draw, inner sep=0pt, minimum size=18pt]
\newcommand{\vertex}{\node[vertex]}
\begin{document}
\begin{tikzpicture}[scale=1,very thick]
\draw[step=1cm,very thick] (0.5,0.5) grid (3.5,4.5);
\vertex[fill] (a) at (1.5,1.5) [] {};
\vertex[fill] (a) at (2.5,3.5) [] {};
\draw [>=stealth,->] (1.8,1.8) -- (2.4,2.4);
\draw [>=stealth,->] (2.5,3.1) -- (2.5,2.6);
\node at (1.5,3.5) {\normalsize $M_{1,0}^{(1)}$};
\node at (2.5,1.5) {\normalsize $M_{-1,1}^{(2)}$};
\node at (4.5,2.5) {\normalsize become};
\node at (7,3.5) { $p_1=\frac{M_{1,0}^{(1)}}{M_{1,0}^{(1)}+M_{-1,1}^{(2)}}$};
\draw[step=1cm,very thick] (5.5,0.5) grid (8.5,3);
\draw[step=1cm,very thick] (5.5,4) grid (8.5,4.5);
\vertex[fill] (a) at (6.5,1.5) [] {};
\vertex[fill] (a) at (7.5,2.5) [] {};
\node at (9,2.5) {\normalsize or};
\draw[step=1cm,very thick] (9.5,0.5) grid (12.5,1);
\draw[step=1cm,very thick] (9.5,2) grid (12.5,4.5);
\node at (11,1.5) { $p_2=\frac{M_{-1,1}^{(2)}}{M_{1,0}^{(1)}+M_{-1,1}^{(2)}}$};
\vertex[fill] (a) at (11.5,3.5) [] {};
\vertex[fill] (a) at (11.5,2.5) [] {};
\end{tikzpicture}
\end{document}