Mastering Theoretical Probability

Mathematics
Year 9
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About This Worksheet

A worksheet covering Theoretical Probability for Year 9 students, focusing on understanding basic probability concepts and applying them to various problems.

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Mastering Theoretical Probability

Subject: MathematicsGrade: Year 9
Name:
Date:

Untitled Worksheet

Grade Year 9
A

Introduction

Review the basic probability formula: Probability of an event = Number of favorable outcomes / Total number of outcomes. Use this to answer the following questions.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A fair six-sided die is rolled once. What is the probability of rolling a number less than 4?
[1 mark]
2.
A bag contains 3 red, 5 blue, and 2 green balls. What is the probability of drawing a blue ball?
[1 mark]
3.
In a standard deck of 52 cards, what is the probability of drawing an Ace?
[1 mark]
4.
A coin is flipped. What is the probability of getting tails?
[1 mark]
5.
Calculate the probability of rolling an even number on a six-sided die.
[2 marks]
6.
A box contains 10 chocolates, 4 of which are caramel and 6 are nougat. If a chocolate is randomly selected, what is the probability it is caramel?
[1 mark]
7.
If two dice are rolled, what is the probability that the sum of the numbers is 7?
[2 marks]
8.
A spinner has 8 equal sectors numbered 1 to 8. What is the probability it lands on a number greater than 5?
[1 mark]
9.
A card is drawn at random from a standard deck. What is the probability it is a heart?
[1 mark]
10.
A jar contains 20 marbles: 8 red, 6 blue, and 6 yellow. What is the probability of drawing a yellow marble?
[1 mark]
11.
A student rolls two dice. What is the probability that both dice show a 3?
[2 marks]
12.
Challenge: A bag contains 5 red, 7 blue, and 8 green balls. Two balls are drawn without replacement. What is the probability that both balls are green?
[3 marks]

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Details

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