A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawing a spade from a standard 52-card deck, replacing it, and then drawing another spade? Show your work or explain how you got your answer.
There are a total of 52 cards in the deck and 13 spades.
To calculate the probability of drawing a spade, replacing it, and then drawing another spade, we can multiply the probability of each event.
The probability of drawing a spade in the first draw is 13/52, as there are 13 spades out of 52 cards in total.
Since we are replacing the card after each draw, the probability of drawing a spade in the second draw is also 13/52.
To find the probability of both events occurring, we multiply the probabilities: (13/52) * (13/52) = 169/2704.
Therefore, the probability of drawing a spade from a standard 52-card deck, replacing it, and then drawing another spade is 169/2704.