Basic probability
- Count favourable outcomes.
- Count total outcomes.
- Write favourable ÷ total.
Answer: P(even on a die) = 3/6 = 1/2
🎲 Probability
Basic probability
Learn basic probability with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Basic probability is part of probability and appears often in KS3–GCSE maths.
- Probability = favourable outcomes ÷ total outcomes.
- Use the worked model, help guide, interactive question and flashcards to practise basic probability until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Basic probability 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 Basic probability
- Learn the rule: Probability = favourable outcomes ÷ total outcomes.
- Worked model: Count favourable outcomes. Count total outcomes. Write favourable ÷ total.
- 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 fair die is rolled. What is P(rolling a 4)?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Basic probability
BackProbability = favourable outcomes ÷ total outcomes.
FrontExample answer: A fair die is rolled. What is P(rolling a 4)?
BackOnly one face is a 4, and there are 6 faces, so P(4) = 1/6.
FrontCommon check for Basic probability
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.