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.2.25
- C.-1.75
- D.0.5
Model answer
What a good answer should say
- The correct answer is 0.25.
This answer is tied to the objective: M3 Model with probability, including critiquing assumptions made and the likely effect of more realistic assumptions..
Explanation
Why this works
Use the explanation to connect the worked answer back to M3 Model with probability, including critiquing assumptions made and the likely effect of more realistic assumptions..
calculator check uses Probability modelling: identify the quantities, do the stated operation, and select 0.25 because it matches the verified final answer.
Maths method check
- Topic focus: Statistics.
- Question style: practice.
- Reasoning demand: understanding.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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