. If A and B are mutually exclusive, does this mean that they are independent?

Question

To answer this question, you argue that if A and B are mutually exclusive, their intersection is empty, so P(A and B)
= 0. If A and B are independent, P(A and B) = P(A) ∙ P(B). This will be zero only if P(A) = 0 or P(B) = 0.

 

(A) True (B) False

Answer 1

Mutually exclusive: if one then not the other

Independent: outcome of one does not influence outcome of the other

Answer 2

Take a look at this.  I think it may help

 

https://people.richland.edu/james/lecture/m170/ch05-rul.html