Final answer:
The probability of picking out an 8, replacing it, and then drawing a spade from a deck of cards is 1/52.
Step-by-step explanation:
To calculate the probability of picking out an 8, replacing it, and then drawing a spade, we need to consider the individual probabilities of each event.
There are 4 eights in a standard deck of 52 cards, so the probability of picking out an 8 is 4/52.
Since the card is replaced before the second draw, the probability of drawing a spade remains the same for both draws. There are 13 spades in the deck, so the probability of drawing a spade is 13/52 for each draw.
To calculate the combined probability, we multiply the probabilities of each event:
P(8 and spade) = P(8) x P(spade) = (4/52) x (13/52) = 1/52
Therefore, the probability of picking out an 8, replacing it, and then drawing a spade is 1/52.