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If A and B are mutually exclusive events...

If A and B are mutually exclusive events, then

A

`P(A)lePoverset(-)((B))`

B

`P(A)gePoverset(-)((B))`

C

`P(A)ltPoverset(-)((B))`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding mutually exclusive events A and B, we need to understand the definition and implications of such events in probability. ### Step-by-Step Solution: 1. **Understanding Mutually Exclusive Events**: - Two events A and B are said to be mutually exclusive if they cannot occur at the same time. This means that if one event occurs, the other cannot. 2. **Intersection of Events**: - The intersection of two events A and B, denoted as \( A \cap B \), represents the set of outcomes that are common to both events. For mutually exclusive events, this intersection is empty. 3. **Probability of Intersection**: - Since A and B are mutually exclusive, the probability of their intersection is given by: \[ P(A \cap B) = 0 \] - This means that there is no overlap between the events A and B. 4. **Conclusion**: - Therefore, if A and B are mutually exclusive events, the correct statement is that the probability of their intersection is zero. ### Final Answer: - The correct option is that \( P(A \cap B) = 0 \).
To solve the question regarding mutually exclusive events A and B, we need to understand the definition and implications of such events in probability. ### Step-by-Step Solution: 1. **Understanding Mutually Exclusive Events**: - Two events A and B are said to be mutually exclusive if they cannot occur at the same time. This means that if one event occurs, the other cannot. 2. **Intersection of Events**: ...
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