STA016 · Probability & statistics · Classes 9–11
Sample space
The sample space is the set of all possible outcomes. Rolling two dice gives 6 × 6 = 36 equally likely outcomes.
6 × 6Sample space
📐 Formula
P(event) = favourable outcomes / total outcomes
✏️ Worked example
Sum 7 happens in 6 of 36 outcomes, so P(sum = 7) = 6/36 = 1/6 — the most likely sum.
🌍 Where it is used
Board games, quality checks, risk calculations.
❓ Quick check
Sample space size for tossing 2 coins?
🏋️ Practice
EasyP(sum = 2) with two dice?
Answer: 1/36
MediumP(sum = 12)?
Answer: 1/36
ChallengeOutcomes for one die and one coin?
Answer: 12