Two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces

It is not indicated whether the first card is replaced before the second is taken... Let's consider both cases.
P
r
o
b
=
number of desirable outcomes
total number of possible outcomes
There are 4 aces in a deck of cards which has 52 cards in total.
If the first card is NOT replaced:
P (Ace, Ace) =
4
52
×
3
51
=
1
221
(The number of aces remaining is 1 less, and there is 1 less card to choose from.)
If the first card IS replaced , then the probability of drawing an ace stays the same every time a card is chosen:
P (Ace, Ace) =
4
52
×
4
52
=
1
169
Note: A probability should be given as a fraction, in the simplest form.
It is always a value from 0 to 1
0
⇒
(the outcome is impossible)
1
⇒
(the outcome is guaranteed)