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.4.25
- C.-3.75
- D.0.5
Model answer
What a good answer should say
- The correct answer is 0.25.
This answer is tied to the objective: M1 Understand and use mutually exclusive and independent events when calculating probabilities; link to discrete and continuous distributions..
Explanation
Why this works
Use the explanation to connect the worked answer back to M1 Understand and use mutually exclusive and independent events when calculating probabilities; link to discrete and continuous distributions..
Trace the calculation before choosing. The verified method for Mutually exclusive and independent events gives 0.25; no later explanation is allowed to change that value.
Maths method check
- Topic focus: Statistics.
- Question style: practice.
- Reasoning demand: analysis.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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