What is the probability of the first and second card an ace?

Assuming it is a standard Poker deck with 52 cards and 4 aces

The probability of getting your first card an ace is = 4/52

Over here you need to reread your questions. There are something you need to know before i continue - when you draw your second card, did you return the first card back into the pile? lets say if you draw an ace of spades, would you be able to redraw it again for the second card?

If the first ace is return to the pile:

probability of getting a second ace is also 4/52

so the total probability of getting both cards an ace is (4/52 x 4/52)

If the first ace is not return to the pile:

probability of getting a second ace is now 3/51

note that removing one ace also removes one card from the pile. total card is now 51 with 3 aces only

so the total probability of getting both cards an ace is (4/52 x 3/51)

hope i help.