So this is absolutely true. The probability of B given A is equal to the probability of B. Yep, probability of B given A is one-third, and the probability of B is one-third. The probability that Thomas selects a shirt given that he has chosen a blue garment is equal to the probability that Thomas selects a shirt. Yep, that's right. Events A and B are independent events. So two events are independent if the, well, let me write it more in math notation. These are independent if the probability of A given B is equal to the probability of A.