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 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and 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 |
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?
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.
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