State True or False for the statements in the Exercise. Two independent events are always mutually exclusive.

Question

Philoid · Accepted 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.