Finding Probabilities: Mixed Review
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering various aspects of Finding Probabilities using Venn Diagrams. Designed to review procedural skills, problem-solving, and real-world applications for Grade 8 students.
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Full preview • 11 questions
Finding Probabilities: Mixed Review
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A survey shows that 60% of students like basketball, 40% like soccer, and 25% like both. What is the probability that a randomly selected student likes either basketball or soccer?
[3 marks]2.
In a class, 70 students are enrolled. 45 students like tennis, 30 like volleyball, and 15 like both. Calculate the probability that a student selected at random likes neither tennis nor volleyball.
[4 marks]3.
Construct a Venn diagram representing two sets: A with 40 elements and B with 30 elements. 10 elements are in both sets. If a student is randomly chosen from the combined sets, what is the probability they are in A or B?
[3 marks]4.
A box contains 20 red balls, 30 blue balls, and some green balls. The probability of drawing a green ball is 0.2. How many green balls are in the box?
[2 marks]5.
A bag has 5 defective and 15 non-defective bulbs. If two bulbs are drawn at random without replacement, what is the probability that both are defective?
[3 marks]6.
In a survey, 80 students were asked about their favorite fruit: 50 liked apples, 30 liked bananas, and 20 liked both. What is the probability that a student selected at random likes neither apples nor bananas?
[3 marks]7.
A deck of 52 cards contains 4 suits. The probability of drawing a heart is 1/4. If a card is drawn at random, what is the probability that it is not a heart?
[2 marks]8.
Two events, A and B, are independent. The probability of A occurring is 0.6, and the probability of B occurring is 0.5. Find the probability that both A and B occur.
[3 marks]9.
A student rolls a fair six-sided die twice. What is the probability that the sum of the two rolls is 7?
[3 marks]10.
A box contains 10 white, 15 black, and 5 red balls. If one ball is drawn at random, what is the probability that it is either white or red?
[2 marks]11.
Error Analysis: A student calculates the probability of A or B as P(A) + P(B) - P(A and B) but forgets to subtract P(A and B). Explain why this is incorrect and provide the correct formula.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet