Question

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

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

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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