The students of a class are represented in the set U.

Set A is the set of pupils who wear glasses.

Set B is the set of students who have blue eyes.

\begin{enumerate}
\item
  \nbPointsEnumi{2}Calculate \(P(B)\)
\item
  \nbPointsEnumi{2}Calculate \(P(A \cup B)\)
\item
  \nbPointsEnumi{2}Calculate \(P(A|B)\)
\item
  \nbPointsEnumi{2}Calculate \(P(B|\overline{A})\)
\item
  \nbPointsEnumi{2}A student with blue eyes leaves the classroom. Calculate the
probability that this student is wearing glasses.
\end{enumerate}

\begin{center}
\includegraphics[width=12cm]{S6P3/2022_June/2022_06_S6P3_VAR_IT_BTest_ExoB3_IMG1.jpg}
\end{center}
