Tree diagram outcomes
- Draw branches for each stage.
- Multiply along branches.
- Add probabilities for wanted outcomes.
Answer: Two coin flips have 4 outcomes
🎲 Probability
Tree diagrams
Learn tree diagrams with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Tree diagrams is part of probability and appears often in KS3–GCSE maths.
- Tree diagrams organise multi-stage probability.
- Use the worked model, help guide, interactive question and flashcards to practise tree diagrams until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Tree diagrams learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Tree diagrams
- Learn the rule: Tree diagrams organise multi-stage probability.
- Worked model: Draw branches for each stage. Multiply along branches. Add probabilities for wanted outcomes.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
A coin is flipped twice. How many outcomes are in the tree diagram?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Tree diagrams
BackTree diagrams organise multi-stage probability.
FrontExample answer: A coin is flipped twice. How many outcomes are in the tree diagram?
Back2 × 2 = 4 outcomes: HH, HT, TH, TT.
FrontCommon check for Tree diagrams
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.