P(A or B) = P(A) + P(B): Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating P(A or B) for mutually exclusive events, aimed at developing procedural fluency and problem-solving skills.
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P(A or B) = P(A) + P(B): Fluency & Practice
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If P(A) = 0.3 and P(B) = 0.5, and A and B are mutually exclusive, calculate P(A or B).
[2 marks]2.
A card is drawn from a standard deck. P(A): drawing a heart = 1/4, P(B): drawing a king = 1/13. If these events are mutually exclusive, what is P(A or B)?
[2 marks]3.
Two events, A and B, are mutually exclusive. P(A) = 0.2. If P(A or B) = 0.5, what is P(B)?
[2 marks]4.
A die is rolled. P(A): rolling an even number = 1/2, P(B): rolling a 3 or 5 = 2/6. Are A and B mutually exclusive? Justify your answer.
[3 marks]5.
Construct a Venn diagram to represent the events A and B, where P(A) = 0.2, P(B) = 0.3, and the events are mutually exclusive. Label all probabilities.
[4 marks]6.
A bag contains red and blue balls. P(red) = 0.4, P(blue) = 0.6. If drawing a red and blue ball are mutually exclusive events, what is P(red or blue)?
[2 marks]7.
In a survey, P(A) = 0.45 and P(B) = 0.25. If the events are mutually exclusive, what is P(A or B)?
[2 marks]8.
A spinner has 4 equal sectors numbered 1 to 4. P(A): landing on an even number, P(B): landing on a prime number. Are these events mutually exclusive? Explain.
[3 marks]9.
A box contains 5 red, 3 blue, and 2 green balls. P(Red) = 0.5, P(Green) = 0.2. Assuming drawing a red and green are mutually exclusive, find P(Red or Green).
[2 marks]10.
Two events, A and B, are mutually exclusive with P(A) = 0.15 and P(B) = 0.35. Calculate P(A or B).
[2 marks]11.
Identify the mistake in this statement: 'If P(A) = 0.4, P(B) = 0.2, and P(A or B) = 0.7, then A and B are mutually exclusive.'
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet