Multiple choice

From a pack of 52 cards, two cards are drawn at random. The probability that one is an ace and the other is a king is _____.

  1. 1/13

  2. 1/169

  3. 8/663

  4. 28/663
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total ways to draw 2 cards = 52C2 = (52 * 51) / 2 = 1326. Ways to draw one ace (4C1) and one king (4C1) = 4 * 4 = 16. Probability = 16 / 1326 = 8 / 663.

AI explanation

Using combinations, the total number of ways to draw two cards from 52 is 52 choose 2, which equals 1326. The favorable ways are choosing one ace from 4 and one king from 4, giving 4 multiplied by 4 equals 16. The probability is 16 divided by 1326, which simplifies to 8/663.

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