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

Question

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

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.

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