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14 January, 11:14

The probability of drawing two clubs from a standard 52 card deck is 0.0588. The probability of drawing the first club is 0.25. What is the probability of drawing a second club, given the first card drawn was a club?

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  1. 14 January, 13:10
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    The probability of drawing a second club, given the first card drawn was a club is 0.2353 or 23.53%

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Probability of drawing two clubs from a standard 52 card deck = 0.0588

    Probability of drawing the first club = 0.25

    2. What is the probability of drawing a second club, given the first card drawn was a club?

    Let's recall the formula of probability:

    Probability = Number of favorable outcomes/Total number of possible outcomes

    Therefore, after drawing a first club, there are only 12 club cards more in the deck and 51 cards remaining. Replacing with these values, we have:

    Probability of drawing a second club, given the first card drawn was a club: 12/51 = 0.2353

    That's why the probability of drawing two clubs from a standard 52 card deck is 0.0588 = 0.25 * 0.2353
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