Question

You are told that P(A | B) = P(B | A). Which statement below must be true?

A and B are equally likely
P(A | B) = 0.5
A and B are independent
A and B are dependent

Answer 1

The answer is A and B are dependent

Answer 2

The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P(A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.