Probability
If P(A) = 0.6 and P(B) = 0.3, and A and B are independent events, then P(A ∩ B) is
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About This Question
- Subject
- mathematics
- Chapter
- statistics and probability
- Topic
- probability
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
0.18
- Condition for Independence: Two events A and B are independent if the occurrence of one does not affect the probability of the other.
- Multiplication Rule: For independent events, P(A∩B)=P(A)×P(B).
- Substitution:
- P(A∩B)=(0.6)×(0.3)=0.18.
- Result: 0.18.
This medium 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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