Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, witho

Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places

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Bình An 4 years 2021-08-28T00:31:23+00:00 1 Answers 12 views 0

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  1. Helga
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    2021-08-28T00:33:12+00:00
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    Answer:

    0.0181 probability of choosing a king and then, without replacement, a face card.

    Step-by-step explanation:

    A probability is the number of desired outcomes divided by the number of total outcomes.

    Probability of choosing a king:

    There are four kings on a standard deck of 52 cards, so:

    P(A) = \frac{4}{52} = \frac{1}{13}

    Probability of choosing a face card, considering the previous card was a king.

    12 face cards out of 51. So

    P(B|A) = \frac{12}{51}

    What is the probability of choosing a king and then, without replacement, a face card?

    P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181

    0.0181 probability of choosing a king and then, without replacement, a face card.

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