Q. 975.0( 1 Vote )

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

Two independent events are always mutually exclusive.

Answer :

**False**

If A and B are independent events. It implies-

P(A ∩ B) = P(A)P(B)

Through the above equation we can’t prove in any way that

P(A∪B) = P(A) + P(B)

It is only possible if either P(A) or P(B) = 0,which is not given in question.

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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