Conditional Probability
Easymathematics
The conditional probability P(A|B) is defined as
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Solution
Incorrect! Answer:
P(A ∩ B)/P(B)
- Definition: Conditional probability is the probability of an event A occurring, given that another event B has already occurred.
- Standard Formula: P(A∣B)=P(B)P(A∩B).
- Constraint: This formula is valid only if P(B)>0. If P(B)=0, P(A∣B) is undefined.
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About This Question
- Subject
- mathematics
- Chapter
- statistics and probability
- Topic
- conditional probability
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
P(A ∩ B)/P(B)
- Definition: Conditional probability is the probability of an event A occurring, given that another event B has already occurred.
- Standard Formula: P(A∣B)=P(B)P(A∩B).
- Constraint: This formula is valid only if P(B)>0. If P(B)=0, P(A∣B) is undefined.
This easy difficulty mathematics question is from the chapter statistics and probability, covering the topic of conditional probability. It appeared in the 2025 exam.
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