\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{Lotte}
\pdfinfo{
  /Title (lotte-s-probability.pdf)
  /Creator (Cheatography)
  /Author (Lotte)
  /Subject (Lotte's Probability Cheat Sheet)
}

% Lengths and widths
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\addtolength{\voffset}{-2cm}
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\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
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\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{A31566}
\definecolor{LightBackground}{HTML}{F9F0F5}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Lotte's Probability Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Lotte} via \textcolor{DarkBackground}{\uline{cheatography.com/68104/cs/17151/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Lotte \\
  \uline{cheatography.com/lotte} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 21st September, 2018.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{x{1.152 cm} x{2.952 cm} x{1.44 cm} x{1.656 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{8.4cm}}{\bf\textcolor{white}{Discrete Distributions}}  \tn
% Row 0
\SetRowColor{LightBackground}
Name & pmf & cdf & E(V);Var \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\seqsplit{Bernoulli(p)} & P(1)=p; P(0)=1-p & F(1)=1, \seqsplit{F(0)=1-p} & p;p(1-p) \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Binomial(n},p) & P(k)=(NchooseK) p\textasciicircum{}k\textasciicircum{}  (1-p)\textasciicircum{}(n-k)\textasciicircum{} & - & \seqsplit{np;np(1-p)} \tn 
% Row Count 6 (+ 3)
% Row 3
\SetRowColor{white}
\seqsplit{Geometric(p)} & P(k)=(1-p)\textasciicircum{}k-1\textasciicircum{} p & 1 - (1-p)\textasciicircum{}k\textasciicircum{} & (1-p)/p; (1-p)/p\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 9 (+ 3)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Poisson(λ)} & P(k)=e\textasciicircum{}-λ\textasciicircum{} λ\textasciicircum{}k\textasciicircum{}/k! & - & λ;λ \tn 
% Row Count 11 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{1.368 cm} x{1.944 cm} x{2.16 cm} x{1.728 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{8.4cm}}{\bf\textcolor{white}{Continuous Distributions}}  \tn
% Row 0
\SetRowColor{LightBackground}
Name & pdf & cdf & EV;Var \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Uniform{[}a,b{]} & f(x)= 1/(b-a) on {[}a,b{]} & \seqsplit{F(x)=(x-a)/(b-a)} on {[}a,b{]} & (b-a)/2; (b-a)\textasciicircum{}2\textasciicircum{}/12 \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Normal(μ},σ\textasciicircum{}2\textasciicircum{}) & - & - & μ;σ\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
\seqsplit{Exponential(λ)} & f(x)=λe\textasciicircum{}-λx\textasciicircum{} & 1 - e\textasciicircum{}-λx\textasciicircum{} & 1/λ;1/λ\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 10 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Set theory}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{De Morgan's laws \newline % Row Count 1 (+ 1)
(A∪B)\textasciicircum{}c\textasciicircum{}=A\textasciicircum{}c\textasciicircum{}∩B\textasciicircum{}c\textasciicircum{}       \&\&\&\&        (A∩B)\textasciicircum{}c\textasciicircum{}=A\textasciicircum{}c\textasciicircum{}∪B\textasciicircum{}c\textasciicircum{} \newline % Row Count 3 (+ 2)
Distributive laws: \newline % Row Count 4 (+ 1)
(A∪B)∩C = (A∩C)∪(B∩C)  \&\&\&\& (A∩B)∪C = (A∪C)∩(B∪C)% Row Count 6 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Probability}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{P(A∪B) = P(A) +P(B)−P(A∩B) \newline % Row Count 1 (+ 1)
NchooseK = n!/(k)!(n-k)! \newline % Row Count 2 (+ 1)
De totale kans is altijd 1! I.h.b. P(A)+P(A\textasciicircum{}c\textasciicircum{})=1% Row Count 3 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Conditional Probability}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{P(A|B) =P(A∩B)/P(B) \newline % Row Count 1 (+ 1)
A\&B independent ⇒ P(A∩B) = P(A)P(B) \& P(A|B)=P(A) \newline % Row Count 3 (+ 2)
Bayes' Theorem: P(A|B) = P(B|A)P(A)/P(B)% Row Count 4 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.888 cm} x{2.052 cm} x{2.66 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{Er zijn n kleuren, ik kies er k. Ik heb ... opties}}  \tn
% Row 0
\SetRowColor{LightBackground}
- & Volgorde maakt uit & Volgorde maakt niet uit \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Kleuren mogen dubbel & n\textasciicircum{}k\textasciicircum{} & (n-1+k)!/(n-1)!k! \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Kleuren mogen niet dubbel & n!/(n-k)! & n!/k!(n-k)! \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}