Question
Download Solution PDFIf A and B are mutually exclusive events such that P(A) P(B) > 0, then which option is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is: "A and B are not independent."
Key Points
- mutually exclusive events:
- Mutually exclusive events are also known as disjoint or incompatible events.
- Mutually exclusive events are events that cannot occur simultaneously.
- In other words, if one event occurs, the other event cannot occur.
- If two events A and B are mutually exclusive, then the probability of their union is equal to the sum of their individual probabilities:
- \(P(A ∪ B) = P(A) + P(B).\)
- If two events are mutually exclusive, they are not independent. Independence means that the occurrence of one event does not affect the probability of the other event.
- A proper subset is a subset in which the set is not equal to the original set. So, A ⊂ B is not a correct answer in this case.
Additional Information
- Mutually exclusive events are also known as disjoint or incompatible events
- Independence means that the occurrence of one event does not affect the probability of the other event
- Understanding the concept of mutually exclusive events is important in probability theory as it helps to calculate the probability of the union of two or more events.
- Understanding the relationship between mutually exclusive events and independence is also important as it helps to determine the relationship between different events in a probability model.
Last updated on Jul 17, 2025
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