Final answer:
The probability of drawing two aces with replacement from a standard 52-card deck is approximately 0.59%, calculated by multiplying the individual probabilities of drawing an ace on each draw, which are each 4/52.
Step-by-step explanation:
The question deals with the concept of probability in the context of a standard deck of 52 playing cards. When drawing two aces with replacement, the events are independent since the card is put back into the deck after each draw.
For the first draw, the probability of getting an ace is 4/52, since there are 4 aces in the deck. After replacing the first card, the deck is back to its original composition, so the probability for the second ace is again 4/52.
To find the overall probability of both events occurring, you multiply the individual probabilities: (4/52) * (4/52) or approximately 0.0059, which equals about 0.59% chance of drawing two aces with replacement.
The probability of drawing two aces, with replacement, from a pack of 52 cards can be calculated by dividing the number of favorable outcomes (getting two aces) by the total number of possible outcomes.
There are 4 aces in a deck of 52 cards, so the probability of drawing an ace on the first draw is 4/52. Since the card is replaced, the probability of drawing another ace on the second draw is also 4/52.
To find the probability of both events occurring, we multiply the probabilities together: (4/52) x (4/52) = 16/2704, which simplifies to 1/169 or approximately 0.59%.