$\Omega$ denotes the sample space of a random experiment E and P denotes a probability on $\Omega$. $A$ and $B$ are two events with probabilities $0.6$ and $0.4$ respectively. We further assume that $P ( A \cup B ) = 0.8$. VI-A- $\quad P ( A \cap B ) = 0.24$. VI-B- $\quad A$ and $B$ are complementary events. VI-C- $\quad A$ and $B$ are independent events. VI-D- $\quad A$ and $B$ are mutually exclusive events. For each statement, indicate whether it is TRUE or FALSE.
\section*{Exercise VI}
$\Omega$ denotes the sample space of a random experiment E and P denotes a probability on $\Omega$.\\
$A$ and $B$ are two events with probabilities $0.6$ and $0.4$ respectively. We further assume that $P ( A \cup B ) = 0.8$.\\
VI-A- $\quad P ( A \cap B ) = 0.24$.\\
VI-B- $\quad A$ and $B$ are complementary events.\\
VI-C- $\quad A$ and $B$ are independent events.\\
VI-D- $\quad A$ and $B$ are mutually exclusive events.
For each statement, indicate whether it is TRUE or FALSE.