ProbabilityKey Facts

Common Tree Diagram Types

Part of Tree DiagramsGCSE Mathematics

This key facts covers Common Tree Diagram Types within Tree Diagrams for GCSE Mathematics. Revise Tree Diagrams in Probability for GCSE Mathematics with 15 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 6 of 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 6 of 6

Practice

15 questions

Recall

20 flashcards

Common Tree Diagram Types

Type Key Feature Example
Independent Events Probabilities don't change Coin flips, dice rolls
With Replacement Item returned before next draw Drawing cards with replacement
Without Replacement Probabilities change after each draw Drawing cards without replacement
Multi-Stage Three or more stages Three coin flips, multiple draws

Keep building this topic

Read this section alongside the surrounding pages in Tree Diagrams. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Tree Diagrams

A fair coin is flipped twice. In a tree diagram, what must the probabilities on the branches from the same point always add up to?

  • A. 0
  • B. 1
  • C. The number of branches
  • D. The total number of outcomes
1 markfoundation

Explain the two key rules used when calculating probabilities from a tree diagram. Your answer should refer to both the multiplication rule and the addition rule.

3 marksstandard

Quick Recall Flashcards

What does each branch in a tree diagram represent?
A possible outcome at that stage of the experiment
What is a tree diagram?
A visual representation of all possible outcomes in multi-stage events

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