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NSWMaths AdvancedQuick questions

Year 12: Statistical Analysis

Quick questions on Probability: sample space, complementary and compound events, tree diagrams, the addition and multiplication rules, independence and conditional probability

2short 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 along a tree?
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A tree diagram lays out a multi-stage experiment one stage per column. The general multiplication rule is
What is conditional probability?
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The conditional probability of AA given BB, written P(AB)P(A \mid B), is the probability of AA once you already know BB has occurred. Knowing BB shrinks the world to just the outcomes in BB, and you ask what fraction of that smaller world is also in AA:

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