College Algebra, Chapter 10, 10.3, Section 10.3, Problem 60

A card is drawn from a deck and replaced, and then a second card is drawn.

a.) What is the probability that both cards are aces?

We know that in a deck of 52 cards it has 4 aces so the probability that both cards are aces is $\displaystyle \frac{4}{52} = \frac{1}{13}$.

b.) What is the probability that the first is an ace and the second a spade?

In a standard deck of cards, we know that there are 4 aces and 13 spades.
So the probability that the first is an ace and the second is a spade is
$\displaystyle \frac{4}{52} \times \frac{13}{52} = \frac{1}{13} \times \frac{1}{4} = \frac{1}{52}$