\documentclass[12pt]{article}
\usepackage{amsmath, amssymb, graphicx, array, fancyhdr, unicode-math, multirow}

\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\sd}{SD}
\DeclareMathOperator{\Pois}{Pois}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\NegBin}{NegBin}
\DeclareMathOperator{\sech}{sech}


% Text: Calibri, all bold
\setmainfont{Calibri}
\renewcommand{\seriesdefault}{b}

% Math: choose a math font and visually embolden it
\setmathfont{TeX Gyre Termes Math}                  % base math font
\setmathfont[FakeBold=1.9]{TeX Gyre Termes Math}    % embolden; adjust 1.6–2.4

% header
\pagestyle{fancy}
\fancyhf{}
\lhead{\resizebox{!}{2cm}{I}}
\chead{\raisebox{0.5cm}{\Huge Independant Events}} % (add title text if you want)
\rhead{\resizebox{!}{2cm}{I}}
\setlength{\headheight}{2.5cm}
\setlength{\headsep}{12pt} % space between header and body

\begin{document}
\thispagestyle{fancy}

% -------- PAGE 1 --------
\begin{table}[h!]
  \renewcommand{\arraystretch}{1.2}

% -------- Single -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/single.png}}} 
&$S=\{1,2,3,4\}$\\
&$A=\{1,2\}$\\
&$B=\{1,3\}$\\ 
&$C=\{1,4\}$\\ 
&\\
\end{tabular}
% -------- Abstract -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/abstract.png}}} 
&$ P(1) = P(2) = P(3) = P(4) = \frac{1}{4} $\\
&$ P(A) = P(B) =P(C) = \frac{1}{2} $\\
&$ A \cap B = \{1\} \rightarrow P(A \cap B) = \frac{1}{4} $\\
&$ A \cap C = \{1\} \rightarrow P(A \cap C) = \frac{1}{4} $\\
&$ B \cap C = \{1\} \rightarrow P(B \cap C) = \frac{1}{4} $\\
&$ \frac{1}{4} = P(A \cap B) = P(A) \times P(B) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \rightarrow A \perp\perp B = \mathrel{\raisebox{-0.2\height}{\includegraphics[width=0.25in]{images/thumb_up.png}}} $\\ 
&$ \frac{1}{4} = P(A \cap C) = P(A) \times P(C) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \rightarrow A \perp\perp C = \mathrel{\raisebox{-0.2\height}{\includegraphics[width=0.25in]{images/thumb_up.png}}} $\\ 
&$ \frac{1}{4} = P(B \cap C) = P(B) \times P(C) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \rightarrow B \perp\perp C = \mathrel{\raisebox{-0.2\height}{\includegraphics[width=0.25in]{images/thumb_up.png}}} $\\ 
&\\
\end{tabular}


% -------- Question -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/question.png}}} 
&$S = \{(i,j) \mid i,j \in \{1,2,3,4,5,6\} \}, \quad |S| = 36$\\
&$A = \{(1,j), (2,j), (3,j) \mid j=1\text{ to }6\} \Rightarrow |A| = 18
  \Rightarrow P(A) = \frac{18}{36} = \frac{1}{2}$\\
&$B = \{(3,j), (4,j), (5,j) \mid j=1\text{ to }6\} \Rightarrow |B| = 18
  \Rightarrow P(B) = \frac{18}{36} = \frac{1}{2}$\\
&$C = \{(3,6), (4,5), (5,4), (6,3)\} \Rightarrow |C| = 4
  \Rightarrow P(C) = \frac{4}{36} = \frac{1}{9}$\\
\end{tabular}
\end{table}




% second page
\newpage
\thispagestyle{fancy}
\begin{table}[h!]
% -------- Answer -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/key.png}}} 
&$A \cap B = \{(3,j) \mid j = 1 \text{ to } 6\} \Rightarrow |A \cap B| = 6
P(A \cap B) = \frac{6}{36} = \frac{1}{6}$\\
&\hrule\\
&\\
&$P(A) \cdot P(B) = \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}$\\
&\hrule\\
&\\
&$\frac{1}{4} \ne \frac{1}{6} \rightarrow A \perp\perp B = \mathrel{\raisebox{-0.2\height}{\includegraphics[width=0.25in]{images/thumb_down.png}}}$\\
\end{tabular}
\end{table}
 


\end{document}