Without Replacement: Mixed Review
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet covering Tree Diagrams (Conditional Probability) with a focus on Without Replacement for GCSE Foundation students. Includes a variety of question types to develop procedural skills and reasoning.
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Without Replacement: Mixed Review
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A bag contains 5 red balls and 3 blue balls. Two balls are drawn one after the other without replacement. What is the probability that both balls are red?
[3 marks]2.
Construct a tree diagram to show all possible outcomes when drawing two cards from a deck of 52 cards without replacement. Label the probabilities correctly.
[4 marks]3.
In a class of 20 students, 12 are boys and 8 are girls. Two students are selected without replacement. What is the probability that the first student is a girl and the second student is a boy?
[3 marks]4.
If a bag has 6 green and 4 yellow balls, and two are drawn without replacement, what is the probability that exactly one green and one yellow ball are drawn?
[4 marks]5.
A box contains 10 chocolates, 4 of which are milk, and 6 are dark. Two chocolates are selected without replacement. Calculate the probability that both are dark.
[3 marks]6.
A student draws two books from a shelf of 15 books (7 fiction and 8 non-fiction) without replacement. What is the probability that both books are fiction?
[3 marks]7.
Two marbles are drawn from a bag containing 3 red, 4 blue, and 5 green marbles without replacement. What is the probability that no green marbles are drawn?
[3 marks]8.
A deck has 52 cards. Two cards are drawn sequentially without replacement. Use a tree diagram to find the probability that both cards are aces.
[4 marks]9.
In a game, a jar contains 12 red and 12 blue tokens. Two tokens are drawn without replacement. Find the probability that the first token is red and the second token is blue.
[3 marks]10.
A box contains 8 white and 6 black balls. Two balls are drawn without replacement. What is the probability that both balls are black?
[3 marks]11.
A student randomly picks two different colored pens from a set of 10 pens (4 red, 3 blue, 3 green) without replacement. Calculate the probability that they pick one red and one green.
[4 marks]12.
Identify and correct the mistake in this reasoning: 'The probability of drawing two green marbles without replacement from a bag of 5 green and 5 yellow marbles is 0.25.'
[2 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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet