Multiple choice

Two cards are drawn from a standard pack of cards one by one without replacement. What is the probability that first card drawn is a jack and the second be a king?

  1. 1/663

  2. 2/663

  3. 3/663

  4. 4/663
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D Correct answer
Explanation

Probability of first card being a jack = 4/52. Probability of second being a king (given first was jack) = 4/51. Total probability = (4/52) * (4/51) = 16 / 2652 = 4 / 663.

AI explanation

Using the multiplication theorem for dependent events, the probability is (4 divided by 52) multiplied by (4 divided by 51). The first fraction represents drawing 1 of 4 jacks from 52 cards, while the second represents drawing 1 of 4 kings from the remaining 51 cards. Multiplying these fractions yields 4/663.

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