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Quick questions on Probability: mutually exclusive, independent and conditional events - OCR A-Level Maths A

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is conditional probability?
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Conditional probability is the chance of AA given that BB has already happened.
What are tree diagrams for sequences?
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A tree diagram handles a sequence of stages: multiply along the branches for a path, add across paths for an "or". For drawing without replacement, the second-stage probabilities change because the total and the counts have decreased.
What is q1?
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Events AA and BB are independent with P(A)=0.3P(A) = 0.3 and P(B)=0.4P(B) = 0.4. Find P(AB)P(A \cap B). [2 marks]
What is q2?
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P(A)=0.7P(A) = 0.7, P(AB)=0.28P(A \cap B) = 0.28. Find P(BA)P(B \mid A). [2 marks]

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