Multiple choice

Two cards are drawn out of a well-shuffled deck of playing cards. What is the probability that both the cards drawn are face cards?

  1. 11 221

  2. 1 13

  3. 32 663

  4. 11 320
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A Correct answer
Explanation

There are 12 face cards in a deck of 52. The probability of drawing two face cards is (12/52) * (11/51) = (3/13) * (11/51) = 33 / 663 = 11 / 221.

AI explanation

The total number of ways to draw 2 cards from a deck of 52 is 52 choose 2, which equals 1326. A deck contains 12 face cards, so the number of ways to draw 2 face cards is 12 choose 2, which equals 66. The probability is 66 divided by 1326, which simplifies to 11 divided by 221.

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