Sample space
- List every possible outcome.
- Avoid repeats.
- Check the list is complete.
Answer: Die sample space: 1, 2, 3, 4, 5, 6
🎲 Probability
Sample space
Learn sample space with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Sample space is part of probability and appears often in KS3–GCSE maths.
- A sample space lists all possible outcomes.
- Use the worked model, help guide, interactive question and flashcards to practise sample space until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Sample space 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 Sample space
- Learn the rule: A sample space lists all possible outcomes.
- Worked model: List every possible outcome. Avoid repeats. Check the list is complete.
- 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
List the sample space for flipping one coin.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Sample space
BackA sample space lists all possible outcomes.
FrontExample answer: List the sample space for flipping one coin.
BackA coin can land Heads or Tails, so the sample space is H, T.
FrontCommon check for Sample space
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.