Consider a pack of standard playing cards. A card is drawn at random from the pack. A card is said to be Royal if it is a Jack, Queen or King. Let A be the event that the card is a king. Let B be the event that the card is a heart. Let C be the event that the card is royal. Let D be the event that the card is black. Calculate the following probabilities. () P(AUC). P(BND). P(AUDC), where AC and DC represent the complement sets of A and D, respectively. (4%) (2) P(AUBUCUD). (4%) (4%) (4%)