Multiple choice

One card is drawn at random from the wellshuffled pack of 52 cards. What is the probabilitythat the card is either a king or a multiple of 2?

  1. 4/13

  2. 7/13

  3. 5/13

  4. 6/13

  5. None of these
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D Correct answer
Explanation

King cards = 4. Multiples of 2 (2, 4, 6, 8, 10) in each suit = 5 * 4 = 20. Total = 4 + 20 = 24. Probability = 24 / 52 = 6 / 13.

AI explanation

A standard deck has 4 kings and 20 cards with a rank that is a multiple of 2, such as the 2, 4, 6, 8, and 10 of each of the four suits. Since there are no cards that are both a king and a multiple of 2, the total number of favorable cards is the sum of 4 and 20, which is 24. The probability is 24 divided by 52, which simplifies to 6/13.

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