A card is drawn from a well-shuffled standard pack of 52 cards. What is the probability that the card drawn is: (a) A King or a Spade? (b) Neither a King nor a Queen? (c) A face card or an Ace?

Two problems in mathematics are given to two students $A$ and $B$. The probabilities that $A$ and $B$ solve a problem independently are $\frac{1}{2}$ and $\frac{1}{3}$ respectively. Find the probability that: (a) The problem is solved. (b) Exactly one of them solves the problem. (c) Neither solves the problem.