Multiple choice

Two cards are drawn from a standard pack of cards one by one without replacement. Find the probability of drawing 2 queens.

  1. 1/13

  2. 3/51

  3. 1/221

  4. None
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C Correct answer
Explanation

There are 4 queens in a standard deck of 52 cards. The probability of drawing the first queen is 4/52, and without replacement, the probability of drawing a second queen from the remaining cards is 3/51. Multiplying these probabilities gives (4/52) * (3/51) = 1/221.

AI explanation

Using the multiplication theorem for dependent events, the probability is (4 divided by 52) multiplied by (3 divided by 51). The first fraction represents drawing 1 of 4 queens, and the second represents drawing 1 of the 3 remaining queens from the 51 remaining cards. Multiplying these fractions and simplifying gives 1/221.

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