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Question

If A and B are two mutually exclusive and exhaustive events, then P(B)=1P(A).


A

True

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B

False

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Solution

The correct option is A

True


Given that, the two events are mutually exclusive and exhaustive.

Mutually exclusive P(A B) = 0

Mutually Exhaustive P(A B) = 1

P(A B) = P(A) + P(B) P(A B) = 1

P(A B) = 0)

P(A) + P(B) = 1

P(B) = 1 P(A)
Thus, the given statement is true.


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