Mastering Theoretical Probability
Mathematics
GCSE Foundation
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A worksheet covering Theoretical Probability for GCSE Foundation students.
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Mastering Theoretical Probability
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the basic probability formula: Probability of an event = (Number of favorable outcomes) / (Total outcomes). Use this to answer the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A fair six-sided die is rolled. What is the probability of rolling a 4?
[1 mark]2.
What is the probability of drawing an ace from a standard deck of 52 cards?
[1 mark]3.
If a coin is flipped once, what is the probability of getting tails?
[1 mark]4.
A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a blue marble?
[1 mark]5.
Calculate the probability of rolling an even number on a six-sided die.
[1 mark]6.
A card is drawn at random from a standard deck. What is the probability it is a queen?
[1 mark]7.
What is the probability of flipping two heads in a row with two coins?
[2 marks]8.
A box contains 10 balls numbered 1 to 10. If one ball is drawn at random, what is the probability it is numbered less than 4?
[2 marks]9.
A spinner is divided into 8 equal sections numbered 1 to 8. What is the probability of spinning an odd number?
[2 marks]10.
A student rolls two six-sided dice. What is the probability that the sum is 7?
[3 marks]11.
A bag contains 4 red, 5 yellow, and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are yellow?
[3 marks]12.
A fair six-sided die is rolled twice. What is the probability that both rolls are prime numbers?
[3 marks]13.
A box contains 7 defective and 13 non-defective items. If one item is selected at random, what is the probability it is non-defective?
[4 marks]14.
A survey shows that 60% of students prefer tea over coffee. If 5 students are chosen at random, what is the probability that exactly 3 prefer tea?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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