Answer
See below.
Work Step by Step
a) In this case the events are independent: $\frac{5}{16}\frac{8}{16}=\frac{5}{32}$
b) In this case the events are not independent: the first one has probability $\frac{5}{16}$, and the second one has probability $\frac{8}{15}$. Thus the probability is: $\frac{5}{16}\frac{8}{15}=\frac{1}{6}$