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Finds the probability of drawing a diamond card in each of the two consecutive draw from a pack of well shuffled 52 cards,

if the card is replaced

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Final answer:

The probability of drawing a diamond card in each of the two consecutive draws from a well-shuffled deck of 52 cards, with replacement, is 1/16.

Step-by-step explanation:

To find the probability of drawing a diamond card in each of the two consecutive draws from a pack of well-shuffled 52 cards, with replacement, we can use the definition of probability. Since there are 52 cards in the deck and 13 of them are diamonds, the probability of drawing a diamond card on a single draw is 13/52, which reduces to 1/4. Since the cards are replaced after each draw, the probability remains the same for the second draw. Therefore, the probability of drawing a diamond card in each of the two consecutive draws with replacement is (1/4) * (1/4), which simplifies to 1/16.

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