- The Venn diagram in Figure 1 shows the number of students in a class who read any of 3 popular magazines \(A , B\) and \(C\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{61983561-79f7-4883-8ae7-ab1f4955d444-12_396_912_411_523}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
One of these students is selected at random.
- Show that the probability that the student reads more than one magazine is \(\frac { 1 } { 6 }\).
- Find the probability that the student reads \(A\) or \(B\) (or both).
- Write down the probability that the student reads both \(A\) and \(C\).
Given that the student reads at least one of the magazines,
- find the probability that the student reads \(C\).
- Determine whether or not reading magazine \(B\) and reading magazine \(C\) are statistically independent.