| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2014 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tree Diagrams |
| Type | Population partition tree diagram |
| Difficulty | Moderate -0.8 This is a straightforward S1 tree diagram question requiring basic probability rules (multiplication, addition, conditional probability). All parts follow standard textbook procedures with no novel insight needed—just careful application of formulas to given percentages. |
| Spec | 2.03b Probability diagrams: tree, Venn, sample space2.03c Conditional probability: using diagrams/tables2.03d Calculate conditional probability: from first principles |
| Answer | Marks |
|---|---|
| 7 | 6" |
I'd be happy to help clean up mark scheme content, but the text you've provided appears incomplete or unclear:
"Question 7:
7 | 6"
This doesn't contain any actual marking criteria, unicode symbols, or marking annotations to process. Could you please provide the full mark scheme content for Question 7? I'm expecting something like:
- Marking points with annotations (M1, A1, B1, etc.)
- Mathematical content with unicode symbols to convert
- Guidance notes
Please share the complete mark scheme and I'll format it properly for you.7. In a large company,
78\% of employees are car owners,\\
$30 \%$ of these car owners are also bike owners,\\
85\% of those who are not car owners are bike owners.
\begin{enumerate}[label=(\alph*)]
\item Draw a tree diagram to represent this information.
An employee is selected at random.
\item Find the probability that the employee is a car owner or a bike owner but not both.
Another employee is selected at random.
Given that this employee is a bike owner,
\item find the probability that the employee is a car owner.
Two employees are selected at random.
\item Find the probability that only one of them is a bike owner.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2014 Q7 [11]}}