P(A or B) = P(A) + P(B): Challenge & Extension
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of mutually exclusive events using the formula P(A or B) = P(A) + P(B). It includes exercises for fluency, problem solving, real-world contexts, challenges, and error analysis.
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P(A or B) = P(A) + P(B): Challenge & Extension
Subject: MathematicsGrade: Grade 6
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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 balls and 3 blue balls. If one ball is drawn at random, what is the probability it is red? Write your answer as a fraction.
[2 marks]2.
If event A is drawing a red ball and event B is drawing a blue ball from the same bag, are A and B mutually exclusive? Explain your answer.
[3 marks]3.
Calculate P(A or B) where P(A) = 1/4 and P(B) = 1/3, assuming A and B are mutually exclusive.
[2 marks]4.
A die is rolled. Event A: rolling a 2; Event B: rolling an even number. Are A and B mutually exclusive? Why?
[3 marks]5.
Plot the graph of y=2x for x values from 0 to 5 on the grid. Label your axes.
[3 marks]6.
Construct a triangle with sides 3 cm, 4 cm, and 5 cm on the grid. Show all sides clearly.
[3 marks]7.
Calculate P(A) = 1/2 and P(B) = 1/4. Find P(A or B) if A and B are mutually exclusive. Show your working.
[3 marks]8.
A card is drawn from a standard deck. Event A: drawing a heart; Event B: drawing a king. Are these mutually exclusive? Explain.
[3 marks]9.
A spinner has 4 equal sections numbered 1 to 4. If Event A: landing on an odd number; Event B: landing on a number greater than 2. Are A and B mutually exclusive? Why?
[3 marks]10.
Identify the common mistake in calculating P(A or B) as P(A) + P(B) even when A and B are not mutually exclusive. How should the formula be corrected?
[3 marks]11.
A jar contains 10 marbles: 6 red, 2 green, and 2 blue. If a marble is randomly chosen, find P(red or green). Assume they are mutually exclusive events.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet