Q. 965.0( 1 Vote )

# State True or False for the statements in the Exercise.

If A and B are mutually exclusive events, then they will be independent also.

Answer :

**False**

If A and B are mutually exclusive. It implies-

P(A∪B) = P(A) + P(B)

Through this equation we can’t prove in any way that

P(A ∩ B)= P(A)P(B).

So, it is a false statement.

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If A and B are two independent events such that P(A’ ∩ B) = 2/15 and P(A ∩ B’) = 1/6 then find P(A) and P(B).

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