Final answer:
The correct answer is 1/270725, which is found by multiplying the individual probabilities of drawing each ace consecutively without replacement.
Step-by-step explanation:
The probability of drawing 4 aces from a standard deck of cards on 4 consecutive draws without replacement is calculated by multiplying the probabilities of drawing an ace on each draw. Initially, there are 4 aces in a deck of 52 cards, so the probability of drawing an ace first is 4/52. After drawing the first ace (now 3 aces and 51 cards left), the probability becomes 3/51. The subsequent draws have probabilities of 2/50 and 1/49 respectively.
The combined probability is the product of these individual probabilities:
(4/52) × (3/51) × (2/50) × (1/49) = 1/270725
Therefore, the correct answer to the given question is choice b, which is 1/270725.