This is the students’ version of the page. Log in above for the teachers’ version.
Click the tabs for extension tasks…
- Use the frequency tree from the Alpha/ Beta/ Gamma exercise above to construct a Venn diagram representing the data.
A group of students sit three tests. Four-fifths of the students pass the first test. 72% of students passed the second test, but only 64% of students passed both the first and second tests. A fifth of the students passed all three tests.
- What percentage of the students passed the first two tests but failed the third?
- Based on the information given, what is the smallest possible number of students in the group?
- 25 students
Teachers: log in to access the following:
- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
Links to past exam questions
Teachers: log in to access these.
- P2a – Theoretical probability
- P2b – Relative frequency
- P3a – Expected frequency
- P4a – Properties of probability
- P6a – Enumerating sets and combinations of sets systematically, using tables, grids and Venn diagrams
- P7a – Constructing theoretical possibility spaces for combined experiments with equally likely outcomes and use these to calculate theoretical probabilities
- P8a – Tree diagrams