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Question

If $$A$$ and $$B$$ are mutually exclusive events, then


A
P(A)=P(AB)
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B
P(B)=P(AB)
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C
P(A)=P(AB)
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D
P(B)=P(AB)
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Solution

The correct option is A $$P(A) = P(A - B)$$
Given $$A$$ and $$B$$ are mutually exclusive
$$\Rightarrow P(A\cup B)=P(A)+(B)$$
$$\Rightarrow P(A-B)=P(A)-P(B)$$
When $$P(B)=0$$  i.e, $$P(A_B)+P(A)$$
$$\Rightarrow P(B)=0$$ is not a sure event.
Hence, the answer is $$P(A)=P(A-B).$$

Mathematics

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