Final answer:
The probability of drawing two Aces from a standard 52-card deck without replacement is 1/221. This is found by multiplying the probabilities of drawing an Ace in each of the two draws, accounting for the reduced number of cards after the first draw.
Step-by-step explanation:
The question asks us to find the probability of drawing 2 Aces from a standard 52-card deck without replacement. To calculate this, we'll use the rules of probability for dependent events, as drawing cards without replacement affects the outcomes of subsequent draws.
Firstly, the probability of drawing an Ace on the first draw is 4 out of 52, as there are 4 Aces in a standard deck of cards. Once an Ace has been drawn, there are now 51 cards remaining. Consequently, the probability of drawing a second Ace is 3 out of 51. We multiply these probabilities to find the combined probability of both events occurring sequentially:
P(1st Ace) × P(2nd Ace after 1st) = (4/52) × (3/51) = 1/221.
Therefore, the probability of drawing two Aces without replacement from a standard 52-card deck is 1/221.