A standard 52-card deck of cards consists of cards of 13 ranksldenominations (Ace, 2. 3, 4, 5, 6, 7, 8. 9, 10. Jack. Queen. King) in each of the four suits (clubs, diamonds. hearts, spades). (a) [I point] You draw 15 cards with replacement from a standard 52-card deck. What is the probability that you will observe more than ve diamonds? (b) [I point] What is the probability that you will need to draw (with replacement) 30 cards from a standard 52-card deck in order to observe exactly six face cards? Note: "face cards " are Jacks. Queens. and Kings (c) [I point] What is the probability that the rst Ace you observe will be on your sixth card drawn (when you're drawing with replacement)? (d) [I point] How many Kings can you expect to observe when you draw 20 cards with replacement