Mastering Theoretical Probability

Mathematics
Year 9
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About This Worksheet

A worksheet covering Theoretical Probability for Year 9 students. It includes basic understanding questions and application problems to deepen comprehension.

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Mastering Theoretical Probability

Subject: MathematicsGrade: Year 9
Name:
Date:

Untitled Worksheet

Grade Year 9
A

Introduction

Review the concept of theoretical probability, which is calculated as the ratio of favorable outcomes to total outcomes in a sample space.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What is the probability of flipping a coin and getting heads?
[1 mark]
2.
A die is rolled. What is the probability of rolling a number greater than 4?
[1 mark]
3.
Calculate the probability of drawing an ace from a standard deck of 52 cards.
[1 mark]
4.
If a bag contains 3 red, 5 blue, and 2 green balls, what is the probability of selecting a blue ball?
[1 mark]
5.
In a spinner divided into 8 equal sectors numbered 1 to 8, what is the probability of landing on an even number?
[1 mark]
6.
A card is drawn at random from a standard deck. What is the probability it is a face card (Jack, Queen, King)?
[1 mark]
7.
A bag has 4 red, 6 yellow, and 10 green marbles. What is the probability of not drawing a green marble?
[1 mark]
8.
What is the probability of rolling a sum of 7 with two standard dice?
[1 mark]
9.
A jar contains 5 apples and 3 oranges. If a fruit is chosen at random, what is the probability it is an apple?
[1 mark]
10.
A card is drawn from a deck. What is the probability that it is not a heart?
[1 mark]
11.
A student rolls a fair six-sided die twice. What is the probability that the sum of the two rolls is 9?
[3 marks]
12.
A survey shows that 60% of students like pizza. If 5 students are chosen at random, what is the probability exactly 3 like pizza?
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet