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Key Stage 3 Probability
Sample Spaces
List outcomes systematically for dice, coins, spinners and simple combined events.
Key idea
Define the possible outcomes clearly, then compare favourable outcomes with the total outcomes.
What you will learn
Use outcome tables confidently.
Use coins confidently.
Use dice confidently.
Use spinners confidently.
Success checklist
✓I can explain what sample spaces means.
✓I can choose a suitable method without being told.
✓I can show clear working and check my answer.
Worked example
A fair dice is rolled. Find P(rolling a 6).
Step 1
There are 6 equally likely outcomes.
Step 2
Only one outcome is a 6.
Step 3
P(6) = 16.
Answer
16
Quick practice
Question 1
Find P(heads) for a fair coin.
Question 2
A bag has 3 red and 5 blue counters. Find P(red).
Question 3
List the outcomes for tossing two coins.
Related resources
These are linked to the wider Probability topic for now.