5. The following shows the results of a wine tasting survey of 100 people.
\begin{displayquote}
96 like wine \(A\),
93 like wine \(B\),
96 like wine \(C\),
92 like \(A\) and \(B\),
91 like \(B\) and \(C\),
93 like \(A\) and \(C\),
90 like all three wines.
- Draw a Venn Diagram to represent these data.
\end{displayquote}
Find the probability that a randomly selected person from the survey likes
- none of the three wines,
- wine \(A\) but not wine \(B\),
- any wine in the survey except wine \(C\),
- exactly two of the three kinds of wine.
Given that a person from the survey likes wine \(A\),
- find the probability that the person likes wine \(C\).