Multiple choice

A card is drawn from a pack of playing cards at random. What is the probability that the card drawn is a king or red?

  1. 1/4

  2. 4/13

  3. 7/13

  4. 1/2

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

There are 52 cards. Red cards = 26. Kings = 4. Red kings = 2. Using inclusion-exclusion, the number of cards that are red or a king is 26 + 4 - 2 = 28. Probability = 28/52 = 7/13.

AI explanation

A standard deck contains 52 cards, giving a sample space of 52. There are 4 kings and 26 red cards, but the king of hearts and the king of diamonds are counted in both groups. Using the addition rule of probability, the total number of favorable cards is 4 plus 26 minus 2, which equals 28. The probability is 28 divided by 52, which simplifies to 7 divided by 13.