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What is the probability that two "face" cards are drawn from a standard deck of 52 cards, one at a time, without replacement?

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Answer:

Explanation:

To calculate the probability of drawing two "face" cards from a standard deck of 52 cards, one at a time without replacement, we need to determine the number of favorable outcomes (drawing two face cards) and divide it by the total number of possible outcomes.


A standard deck of 52 cards contains 12 face cards (four kings, four queens, and four jacks) out of the total 52 cards.


The first card can be any face card, so the probability of drawing a face card on the first draw is 12/52.After the first card is drawn, there are 51 cards remaining in the deck, and 11 face cards left.


The probability of drawing a second face card, given that the first card was a face card, is 11/51.


To find the probability of both events happening (drawing two face cards in a row), we multiply the probabilities of each event:(12/52) * (11/51) = 0.0784 or approximately 7.84%.


Therefore, the probability of drawing two face cards, one at a time without replacement, from a standard deck of 52 cards is approximately 7.84%.

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