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Two cards are drawn without replacement from an ordinary deck. Find the probability that the second is a club, given that the first is the 4 of clubs

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Final answer:

To find the probability of the second card being a club, given that the first card is the 4 of clubs, we set up a conditional probability by considering the fact that one club has already been removed. The probability comes out to be 12/51, or about 23.53%.

Step-by-step explanation:

In order to find the probability that the second card is a club, given that the first card is the 4 of clubs, we need to set up a conditional probability.

Since the first card is the 4 of clubs, we have just removed one club from the deck, leaving 12 clubs remaining out of the original 52 cards.

Therefore, the probability that the second card is a club, given that the first card is the 4 of clubs, is 12/51, which simplifies to about 0.2353 or 23.53%.

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