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NSWMaths Standard 2Quick questions
Year 11: Relative Frequency and Probability
Quick questions on Tables and tree diagrams for multi-stage events for HSC Maths Standard 2
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 two-way tables (arrays)?Show answer
A two-way table sorts each item by two categories at once. The rows are one category, the columns another, and each inner cell counts the items that fall into both. The right-hand Total column and the bottom Total row are the marginal totals, and the bottom-right corner is the grand total - the size of the whole sample space.
What are tree diagrams for multi-stage events?Show answer
A tree diagram draws one branch for each outcome at every stage. Stage 1 splits from a single starting node; each of those nodes splits again for stage 2; and so on. A two-stage coin gives end-paths, a three-stage coin gives . Two rules turn the picture into a number:
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