This key facts covers Key Facts 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 2 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Key Facts
- Tree Diagram: A visual representation of all possible outcomes in multi-stage events
- Each branch represents a possible outcome at each stage
- Probabilities on branches from the same point must add up to 1
- Multiplication Rule: Multiply probabilities along a path to find the probability of that specific sequence
- Addition Rule: Add probabilities of different paths that lead to the same final event
- Tree diagrams work for both independent and dependent events
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