Let $\event{A}$ and $\event{B}$ be two events such that $p(\event{A}) = 0.6$, $p(\event{B}) = 0.2$ and $p(\event{A} \cup \event{B}) = 0.7$

\begin{enumerate}[a)]
    \item \nbPointsEnumi{1}\textbf{Calculate} $p(\event{A} \cap \event{B})$.

    \item \nbPointsEnumi{2}Are $\event{A}$ and $\event{B}$ independent? \textbf{Justify}.

    \item \textbf{Calculate} $p(\event{B} | \event{A})$.
\end{enumerate}
