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From a standard deck of playing cards, a card is drawn, then replaced. The deck is shuffledrandomly and a second card is drawn. What is the probability that both cards a

Question

From a standard deck of playing cards, a card is drawn, then replaced. The deck is shuffledrandomly and a second card is drawn. What is the probability that both cards a

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Solution

It seems like your question got cut off. However, I can provide the probability of drawing any specific card twice in a row from a standard deck of 52 cards.

Step 1: Identify the total number of outcomes. In a standard deck, there are 52 cards.

Step 2: Identify the favorable outcomes. If you're looking for a specific card (say, the Ace of Spades), there's only 1 such card in the deck.

Step 3: Calculate the probability of drawing this card once. This is the number of favorable outcomes (1) divided by the total number of outcomes (52), or 1/52.

Step 4: Because the card is replaced and the deck is shuffled, the probability of drawing the same card again on the second draw is also 1/52.

Step 5: To find the probability of both events happening (drawing the specific card twice in a row), multiply the probabilities of the individual events. So, (1/52) * (1/52) = 1/2704.

So, the probability of drawing any specific card twice in a row from a shuffled deck is 1 in 2704.

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