Finding Probabilities: Fluency & Practice

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focused on developing procedural mastery in finding probabilities using Venn diagrams. Includes a range of questions from basic calculations to real-world scenarios and challenges.

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Full preview • 11 questions

Finding Probabilities: Fluency & Practice

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
If 40% of students like basketball and 30% like tennis, and 10% like both, what is the probability that a student likes either basketball or tennis? Show your working.
[3 marks]
2.
A group of 200 students has 80 students who play chess, 50 who play checkers, and 20 who play both. Calculate the probability that a randomly selected student plays either chess or checkers.
[3 marks]
3.
In a survey, 70% of people prefer tea, 50% prefer coffee, and 20% prefer both. What is the probability that a person prefers neither tea nor coffee?
[3 marks]
4.
Construct a Venn diagram to represent the following data: 60 students, 25 like math, 30 like science, and 10 like both.
[4 marks]
5.
A bag contains 5 red, 7 blue, and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are blue? Show your working.
[4 marks]
6.
In a class, 60% of students pass math, 50% pass science, and 30% pass both. Find the probability that a student passes at least one of the two subjects.
[3 marks]
7.
A survey shows 45% of people own a pet, 35% own a dog, and 15% own both. What percentage own neither a pet nor a dog?
[3 marks]
8.
Construct a Venn diagram representing the data: Out of 100 students, 40 like reading, 30 like sports, and 10 like both. Calculate the probability that a student selected at random likes reading or sports.
[4 marks]
9.
A box contains 8 defective and 12 non-defective items. Two items are taken at random without replacement. What is the probability that the first is defective and the second is non-defective? Show your working.
[4 marks]
10.
A survey finds that 65% of people like coffee, 55% like tea, and 30% like both. What is the probability that a randomly selected person likes neither coffee nor tea? Show your working.
[3 marks]
11.
Mistake Analysis: A student calculates the probability of liking either sport A or sport B as 0.7, given that 0.4 like A, 0.3 like B, and 0.1 like both. Identify the mistake and correct it.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet