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Probability and Statistics

Quick questions on Conditional probability and independence explained: H2 Mathematics Probability and Statistics

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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The probability of AA given that BB has occurred is
What is q1?
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Given P(A∩B)=0.12\mathrm{P}(A \cap B) = 0.12 and P(B)=0.3\mathrm{P}(B) = 0.3, find P(A∣B)\mathrm{P}(A \mid B). [2 marks]
What is q2?
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State the test for two events to be independent. [1 mark]
What is q3?
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Explain why mutually exclusive events with non-zero probability cannot be independent. [2 marks]

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