| Exam Board | WJEC |
|---|---|
| Module | Unit 2 (Unit 2) |
| Year | 2018 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Probability Definitions |
| Type | Venn diagram completion |
| Difficulty | Easy -1.3 This is a straightforward Venn diagram question requiring only basic set notation interpretation, simple probability calculations (counting and dividing by 40), and checking independence using P(M∩D) = P(M)×P(D). All steps are routine with no problem-solving insight needed—easier than average A-level. |
| Spec | 2.03a Mutually exclusive and independent events2.03b Probability diagrams: tree, Venn, sample space2.03c Conditional probability: using diagrams/tables |
The Venn diagram shows the subjects studied by 40 sixth form students. $F$ represents the set of students who study French, $M$ represents the set of students who study Mathematics and $D$ represents the set of students who study Drama.
The diagram shows the number of students in each set.
\includegraphics{figure_2}
\begin{enumerate}[label=(\alph*)]
\item Explain what $M \cap D'$ means in this context. [1]
\item One of these students is chosen at random. Find the probability that this student studies
\begin{enumerate}[label=(\roman*)]
\item exactly two of these subjects,
\item Mathematics or French or both. [3]
\end{enumerate}
\item Determine whether studying Mathematics and studying Drama are statistically independent for these students. [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 2 2018 Q02 [7]}}