Mastering Theoretical Probability

Mathematics
Grade 6
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A worksheet covering Theoretical Probability for Grade 6 students.

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Mastering Theoretical Probability

Subject: MathematicsGrade: Grade 6
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Date:

Untitled Worksheet

Grade Grade 6
A

Introduction

Review the key concept: The probability of an event is the ratio of favorable outcomes to total outcomes, expressed as a fraction or decimal.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What is the probability of rolling a 4 on a standard six-sided die?
[2 marks]
2.
If you flip a coin once, what is the probability of getting heads?
[2 marks]
3.
A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a blue marble?
[2 marks]
4.
Calculate the probability of selecting a vowel from the set {A, B, C, D, E}.
[2 marks]
5.
What is the probability of drawing a card from a standard deck and it being a spade?
[2 marks]
6.
If a spinner is divided into 8 equal sections numbered 1 to 8, what is the probability it lands on number 3?
[2 marks]
7.
A die is rolled twice. What is the probability that the sum of the two rolls is 7?
[4 marks]
8.
In a class of 30 students, 18 like basketball, 10 like football, and 5 like both. How many students like neither sport?
[4 marks]
9.
A jar has 4 red, 6 yellow, and 10 blue jellybeans. If a jellybean is picked at random, what is the probability it is not blue?
[2 marks]
10.
Challenge: A box contains 5 black, 3 white, and 2 gray balls. Two balls are drawn without replacement. What is the probability both balls are black?
[4 marks]
11.
Real-world: A fair six-sided die is rolled 60 times. Approximately how many times would you expect to roll a 2?
[3 marks]

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Details

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