Please answer ASAP and I will upvote right away for the correct answer with work shown:

Let A and B be two events of the same probability Space ((2, Pr), and consider the random variable. (For context, I E is an indicator random variable of the event E): X = IA | I3 IA * I3. Prove the following: P'r[X = 1] = 1 (1 Pr[A])(1 Pr[B]) iff ALB