Multiple choice

One card is drawn at random from a pack of playing cards, the probability that it is an ace or black king or the queen of the heart will be:

  1. $\dfrac {3}{52}$
  2. $\dfrac {7}{52}$
  3. $\dfrac {6}{52}$
  4. $\dfrac {1}{52}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cards = 52. Aces = 4. Black kings = 2 (King of Spades, King of Clubs). Queen of hearts = 1. These sets are disjoint. Total favorable outcomes = 4 + 2 + 1 = 7. Probability = 7/52.

AI explanation

The total number of favorable outcomes includes the 4 aces, 2 black kings, and the 1 queen of hearts, giving a sum of 7. The total number of possible outcomes in a pack of playing cards is 52. By the addition theorem of probability, the required probability is 7/52.

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