This key facts covers Common Sample Spaces within Sample Spaces for GCSE Mathematics. Revise Sample Spaces in Probability for GCSE Mathematics with 11 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 6 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Common Sample Spaces
| Experiment | Sample Space | n(S) |
|---|---|---|
| 1 coin flip | {H, T} | 2 |
| 2 coin flips | {HH, HT, TH, TT} | 4 |
| 3 coin flips | {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} | 8 |
| 1 die roll | {1, 2, 3, 4, 5, 6} | 6 |
| 2 dice | {(1,1), (1,2), ..., (6,6)} | 36 |
| Card from deck | {A♠, 2♠, ..., K♠, A♥, ..., K♣} | 52 |
Practice questions for Sample Spaces
A fair coin is flipped and a fair die (numbered 1 to 6) is rolled. How many possible outcomes are there in total?
Explain what a sample space diagram is and why it is useful when finding probabilities for two combined events.
Quick recall flashcards
What is a sample space?
The set of all possible outcomes of an experiment
What is an outcome?
A single result from an experiment