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VICMath MethodsQuick questions

Unit 3

Quick questions on Probability, conditional probability and independence: VCE Math Methods Unit 3

3short 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 q1?
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Events A,BA, B have P(A)=0.6P(A) = 0.6, P(B)=0.3P(B) = 0.3, P(A∩B)=0.18P(A \cap B) = 0.18. Find P(A∪B)P(A \cup B) and decide if they are independent. [3 marks]
What is q2?
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Given P(A∩B)=0.15P(A \cap B) = 0.15 and P(B)=0.5P(B) = 0.5, find P(A∣B)P(A \mid B). [2 marks]
What is q3?
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A box has 55 green and 33 yellow balls. Two drawn without replacement. Find P(both green)P(\text{both green}).

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