Answer
See below.
Work Step by Step
a) In this case the events are independent, both having probability $\frac{13}{52}$. Thus the probability is: $\frac{13}{52}\frac{13}{52}=\frac{1}{16}$
b) In this case the events are not independent; the first one has probability $\frac{13}{52}$, and the second one has probability $\frac{13}{51}$. Thus the probability is: $\frac{13}{52}\frac{13}{51}=\frac{13}{204}$