Final Answer:
The probability of receiving an ace on the first draw from a standard 52-card deck is 4/52 (or 1/13). The probability of getting an ace on the second draw, given that an ace was not drawn on the first attempt, is 4/51. Similarly, the probability of drawing an ace on the third attempt, given that no ace was drawn in the first two attempts, is 4/50. When multiplied together, the overall probability of receiving an ace on all three draws consecutively is (4/52) * (4/51) * (4/50) ≈ 0.006.
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 aces. Therefore, the probability of drawing an ace on the first attempt is 4/52, as there are 4 aces out of a total of 52 cards. After the first draw, assuming an ace was not drawn, there would be 51 cards remaining, of which 4 are aces. So, the probability of drawing an ace on the second attempt, given that an ace was not drawn initially, becomes 4/51.
Moving to the third draw, if no ace was obtained in the first two draws, there would be 50 cards left, with 4 aces among them. Consequently, the probability of drawing an ace on the third attempt, given that no ace was drawn in the previous two attempts, is 4/50.
To calculate the overall probability of receiving an ace on all three consecutive draws, the individual probabilities of each draw are multiplied together: (4/52) * (4/51) * (4/50) ≈ 0.006. Therefore, there's approximately a 0.6% chance of getting an ace on all three draws in succession from a standard deck of cards.