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MA36-01 Maths Coming soon

Constructing tree diagrams

MA36-01

This lesson is coming soon.

In this lesson

Draw and complete a tree diagram for two successive events, correctly adjusting the second-stage branch probabilities when an item is not replaced.

What it covers

  • Drawing the branch structure for two successive events
  • Labelling each branch with its probability
  • Checking that probabilities on branches leaving the same node sum to 1
  • Adjusting second-stage branch probabilities (numerator and denominator) for events without replacement

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560

On the specification

BoardSpecStatement
AQA GCSE 8300P6Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams
Edexcel GCSE 1MA1P6Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams
Eduqas GCSE C300FP6Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams
Eduqas GCSE C300HP6Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams
Edexcel IGCSE 4MA1H6.3ADraw and use tree diagrams
OCR GCSE J56011.02dUse tree diagrams to enumerate sets and to record the probabilities of successive events (tree frames may be given and in some cases will be partly completed).
For teachers

This GCSE Maths lesson teaches constructing tree diagrams. By the end, students should be able to draw and complete a tree diagram for two successive events, correctly adjusting the second-stage branch probabilities when an item is not replaced. It works through two worked examples and the mistakes examiners report.