5. A deck of six cards consists of three black cards numbered 1, 2, 3, and three red cards numbered 1, 2, 3. First, Vann draws a card at random and without replacement. Then Paul draws a card at random and without replacement from the remaining cards. Let A be the event that Paul’s card has a larger number than Vann’s card. Let B be the event that Vann’s card has a larger number than Paul’s card.

(a) Are A and B mutually exclusive?

(b) Are A and B complements of one another?