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Probability GCSE questions

What is the probability that a GCSE student feels ready for their maths exam? With enough practice, that probability can be high! If you’re looking for additional support, our professional GCSE maths tuition can help you build the confidence you need to ace your exam.

Our tutors use a huge library of targeted teaching resources, including video explainers, graphics and banks of exam-style questions, to deliver personalised support. Here is a set of ten probability GCSE questions from our library.

Ten sample probability GCSE questions

1. Three balls are drawn at random from a bag containing 6 red balls, 5 blue balls and 7 yellow balls. Find the probability of selecting one of each. (The balls are not replaced, answer as a simplified fraction).

2. Three coins are drawn at random from a piggy bank containing 4 pound coins 2 twenty pence coins and 3 ten pence coins. Find the probability of selecting one of each. (The coins are not replaced, answer as a simplified fraction).

3. Three balls are drawn at random from a bag containing 8 black balls, 5 yellow balls and 6 pink balls. Find the probability of selecting one of each. (The balls are not replaced, answer as a simplified fraction).

4. Three staff are selected randomly from a school. There are 25 teachers, 16 teaching assistants and 8 office staff. Find the probability of selecting one from each post. (Answer as a simplified fraction).

5. Mark, Mary and Myra are friends. They sometimes like to go shopping. The probability that Mark will go shopping this weekend is 1/3. The probability that Mary will go shopping this weekend is 2/5. The probability that Myra will go shopping this weekend is 1/2. What is the probability that all three friends will go shopping this weekend? (Answer as a simplified fraction).

6. Amy, Alan and Alice are friends. They sometimes like to go shopping. The probability that Amy will go shopping this weekend is 1/4. The probability that Alan will go shopping this weekend is 2/5. The probability that Alice will go shopping this weekend is 3/7. What is the probability that all three friends will go shopping this weekend? (Answer as a simplified fraction).

7. There were 5 red balls, 4 blue balls and 6 yellow balls in a bag. Sam randomly selects three balls from the bag without replacement. Find the probability of picking one of each colour. (Answer as a fraction).

8. There were 2 red sherbets, 3 blue sherbets and 4 yellow sherbets in a bag of sweets. Sue randomly selects three sweets from the bag without replacement. Find the probability of picking one of each colour. (Answer as a fraction).

9. There were 5 red socks, 7 blue socks and 4 yellow socks in a bag. Harry randomly selects three sweets from the bag without replacement. Find the probability of picking one of each colour. (Answer as a fraction).

10. There were 3 red marbles, 8 blue marbles and 6 yellow marbles in a bag. Alex randomly selects three sweets from the bag without replacement. Find the probability of picking one of each colour. (Answer as a fraction).

1. 35/136

2. 2/7

3. 80/323

4. 400/2303

5. 1/15

6. 3/70

7. 24/91

8. 2/7

9. 1/4

10. 18/85