Finding Probabilities: Challenge & Extension
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding probabilities using Venn diagrams, including practice, reasoning, real-world contexts, and challenge questions for GCSE Foundation students.
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Full preview • 11 questions
Finding Probabilities: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A survey shows that 60% of students like football, 40% like basketball, and 25% like both. Calculate the probability that a randomly selected student likes at least one of these sports.
[3 marks]2.
In a class, 20 students like apples, 15 like bananas, and 5 like both. If a student is chosen at random, what is the probability that they like only apples?
[2 marks]3.
A Venn diagram shows 30 students like reading, 20 like writing, and 10 like both. What is the probability that a student likes neither reading nor writing?
[3 marks]4.
Using the previous data, what is the probability that a student likes at least one of reading or writing?
[2 marks]5.
A survey finds that 70% of customers buy product A, 50% buy product B, and 30% buy both. What is the probability that a customer buys at least one of the two products?
[3 marks]6.
A box contains 12 red, 8 blue, and 4 green balls. If a ball is drawn at random, what is the probability that it is either red or green?
[2 marks]7.
Construct a Venn diagram to illustrate the probabilities where 40% like tea, 30% like coffee, and 10% like both. Calculate the probability that a person likes neither drink.
[4 marks]8.
In a survey, 80 students like swimming, 50 like running, and 20 like both. What is the probability that a student likes only swimming?
[2 marks]9.
Two events, A and B, have probabilities P(A)=0.6, P(B)=0.5, and P(A and B)=0.3. Find the probability that either A or B occurs.
[3 marks]10.
A factory produces 100 tins of soup: 80 are good, but 10 are defective and also fall into two categories: 6 are both defective and expired. What is the probability that a randomly chosen tin is either good or not defective?
[3 marks]11.
Identify and correct the mistake in this probability calculation: 'The probability that a student likes either football or basketball is 0.6 + 0.4 = 1.0'.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet