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If A and B are mutually exclusive even...

If A and B are mutually exclusive events ` P(A) =0.35 and P(B) = 0.45 , `then `P(A nn B) ` is

A

`0.45`

B

` 0.35`

C

` 0.8 `

D

` 0`

Text Solution

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The correct Answer is:
To solve the problem, we need to find \( P(A \cap B) \) given that events A and B are mutually exclusive, with \( P(A) = 0.35 \) and \( P(B) = 0.45 \). ### Step-by-Step Solution: 1. **Understanding Mutually Exclusive Events**: - Mutually exclusive events are events that cannot happen at the same time. This means that if one event occurs, the other cannot occur. 2. **Using the Definition**: - For mutually exclusive events A and B, the probability of both events occurring simultaneously (the intersection of A and B) is zero. Mathematically, this is expressed as: \[ P(A \cap B) = 0 \] 3. **Conclusion**: - Since A and B are mutually exclusive, we conclude that: \[ P(A \cap B) = 0 \] Thus, the final answer is: \[ P(A \cap B) = 0 \]
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