State True or False for the statements in the Exercise.
If A and B are mutually exclusive events, then they will be independent also.

Question

State True or False for the statements in the Exercise. If A and B are mutually exclusive events, then they will be independent also.

Philoid · Accepted 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.

State True or False for the statements in the Exercise.If A and B are mutually exclusive events, then they will be independent also.