Probability
For mutually exclusive events A and B, P(A ∪ B) equals
Select the correct option:
Solution
P(A) + P(B)
- Definition: Mutually exclusive events cannot occur at the same time (A∩B=∅).
- General Addition Rule: P(A∪B)=P(A)+P(B)−P(A∩B).
- Application: Since the intersection is impossible, P(A∩B)=0.
- Result: P(A∪B)=P(A)+P(B).
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About This Question
- Subject
- mathematics
- Chapter
- statistics and probability
- Topic
- probability
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
P(A) + P(B)
- Definition: Mutually exclusive events cannot occur at the same time (A∩B=∅).
- General Addition Rule: P(A∪B)=P(A)+P(B)−P(A∩B).
- Application: Since the intersection is impossible, P(A∩B)=0.
- Result: P(A∪B)=P(A)+P(B).
This easy difficulty mathematics question is from the chapter statistics and probability, covering the topic of probability. It appeared in the 2025 exam.
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