Answer:
P( B | A) will actually be the probability of the polygraph test being wrong.
Explanation:
The event A represents the event that the subject is telling the truth.
The event B represents the event when he fails the polygraph test, which is indicative of the fact that he is lying.
The notation P( B | A) describes the probability that the subject fails the polygraph test given that he is actually telling the truth.
So in retrospect P( B | A) will actually be the probability of the polygraph test being wrong.