Independent events
- Check one event does not affect the other.
- Find each probability.
- Multiply for “and”.
Answer: P(head and even) = 1/2 × 1/2 = 1/4
🎲 Probability
Independent events
Learn independent events with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Independent events is part of probability and appears often in KS3–GCSE maths.
- Independent events do not affect each other.
- Use the worked model, help guide, interactive question and flashcards to practise independent events until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Independent events 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 Independent events
- Learn the rule: Independent events do not affect each other.
- Worked model: Check one event does not affect the other. Find each probability. Multiply for “and”.
- 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 and a die is rolled. What is P(head and 6)?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Independent events
BackIndependent events do not affect each other.
FrontExample answer: A coin is flipped and a die is rolled. What is P(head and 6)?
BackP(head) = 1/2 and P(6) = 1/6. 1/2 × 1/6 = 1/12.
FrontCommon check for Independent events
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.