Exam-style question
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For independent events A and B with P(A) = 0.5 and P(B) = 0.5, find P(A and B).
- A.0.25
- B.3.25
- C.-2.75
- D.0.5
Model answer
What a good answer should say
- The correct answer is 0.25.
This answer is tied to the objective: L1 Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency; connect to probability distributions..
Explanation
Why this works
Use the explanation to connect the worked answer back to L1 Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency; connect to probability distributions..
The distractors change the result or the form of the answer. The canonical solution reaches 0.25, so 0.25 is the only option consistent with the working.
Maths method check
- Topic focus: Statistics.
- Question style: practice.
- Reasoning demand: application.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.