Decks of Pinochle cards have a total of 48 cards and consist of 8 cards each of nines, tens, jacks, queens, kings, and aces with there being two of each suit of each denomination (for example, there are 2 aces each of diamonds, clubs, hearts, and spades for the total of 8 aces). Suppose that you are dealt an 8-card hand from a deck of Pinochle cards. What is the probability that:
a) you are dealt at most 2 spades?
b) you are dealt exactly 1 king?