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A2 Unit 4 Applied Mathematics B

Quick questions on Conditional probability and the multiplication rule - WJEC A-Level Maths

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 the multiplication rule?
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Rearranging the conditional formula gives the general multiplication rule for the probability that both events occur.
What is q1?
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P(A∩B)=0.2P(A \cap B) = 0.2 and P(B)=0.4P(B) = 0.4. Find P(A∣B)P(A \mid B). [2 marks]
What is q2?
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Events AA and BB have P(A)=0.3P(A) = 0.3, P(B)=0.5P(B) = 0.5, P(A∩B)=0.15P(A \cap B) = 0.15. Are they independent? [2 marks]
What is q3?
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From a tree diagram, P(rain)=0.3P(\text{rain}) = 0.3 and P(late∣rain)=0.6P(\text{late} \mid \text{rain}) = 0.6. Find P(rain and late)P(\text{rain and late}). [2 marks]

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