Without Replacement: Problem Solving & Reasoning
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving problems involving probability without replacement, designed to develop reasoning and procedural skills for Grade 6 students.
Worksheet Preview
Full preview • 11 questions
Without Replacement: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A bag contains 5 red and 3 blue balls. Two balls are drawn without replacement. What is the probability that both balls are red?
[3 marks]2.
Construct a tree diagram showing the probabilities of drawing a red or blue ball first, then a red or blue ball second, without replacement.
[4 marks]3.
In a deck of 10 cards numbered 1 to 10, two cards are drawn without replacement. What is the probability that the first card is even and the second card is odd?
[3 marks]4.
A student draws two pencils from a box containing 4 yellow and 6 green pencils, without replacement. What is the probability both pencils are green?
[3 marks]5.
A box has 3 apples and 2 oranges. Two fruits are picked without replacement. What is the probability that one apple and one orange are selected?
[3 marks]6.
A bag contains 6 black and 4 white marbles. Two marbles are drawn without replacement. What is the probability that both are white?
[3 marks]7.
A box contains 8 stickers: 3 are stars, 5 are hearts. Two stickers are drawn without replacement. Construct the probability tree for 'first star, then heart'.
[4 marks]8.
A group has 4 boys and 6 girls. Two students are selected without replacement. What is the probability both are girls?
[3 marks]9.
A problem involves drawing 3 balls (red, blue, green) without replacement. What is the probability the red ball is drawn first and the green ball is drawn last?
[4 marks]10.
A box has 7 yellow and 3 purple marbles. Two marbles are drawn without replacement. Find the probability that both are purple.
[3 marks]11.
Identify and correct the mistake in this probability calculation: 'Probability of drawing two blue balls without replacement from a bag with 4 blue and 6 red is 4/10 * 3/9 = 12/90 = 2/15'.
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet