Multiple choice

Two cards are drawn successively at random without replacement from a well-shuffled standard pack of 52 cards. What is the probability that the first card is a King and the second card is a Queen?

  1. 16 / 2652

  2. 4 / 663

  3. 8 / 663

  4. 2 / 13
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B Correct answer
Explanation

Probability of first card being a King = 4/52. Probability of second card being a Queen = 4/51. Total probability = (4/52) * (4/51) = (1/13) * (4/51) = 4 / 663.

AI explanation

The probability of drawing a King first is 4 / 52, or 1 / 13. Since the card is drawn without replacement, the probability of drawing a Queen second from the remaining 51 cards is 4 / 51. By the multiplication theorem for dependent events, the combined probability is (1 / 13) multiplied by (4 / 51), which equals 4 / 663.

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