GCSE · Basic probability

Sample space & systematic listingExam-style questions

How to list every outcome once and only once — systematic listing, two-way sample-space diagrams, the product rule for counting, and why swapping two things over sometimes makes a new outcome and sometimes doesn't.

Start practising Read the lesson

14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Spinner A has four equal sections numbered $1, 2, 3, 4$ . Spinner B has three equal sections numbered $1, 2, 3$ .

Both spinners are spun and the scores are added.

Work out the probability that the total is $5$ . [3]
Level 2 · 3 marksTry it
2
A fair coin is flipped and a fair four-sided spinner numbered $1$ , $2$ , $3$ , $4$ is spun.

(a) List all the possible outcomes.

(b) Find the probability of getting a head and an even number.
Level 2 · 4 marksTry it