Multiple choice

What is the probability that a card drawn at random from a fair pack of 52 cards is either a queen or a heart?

  1. 1/4

  2. 4/13

  3. 2/13

  4. 1/13

  5. 1/52
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are 4 queens and 13 hearts in a deck. Since the queen of hearts is counted in both groups, the number of favorable cards is 4 + 13 - 1 = 16. The probability is 16/52, which simplifies to 4/13.

AI explanation

Using the addition theorem of probability, P(Queen or Heart) = P(Queen) + P(Heart) - P(Queen of Hearts). There are 4 queens, 13 hearts, and 1 queen of hearts in a standard deck. The probability is 4/52 + 13/52 - 1/52 = 16/52. Simplifying the fraction gives 4/13.

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