Multiple choice

A card is drawn from a pack of 52 cards. The card is drawn at random; find the probability that it is neither club nor queen?

  1. $\(\frac{4}{13}\)$
  2. $\(\frac{5}{13}\)$
  3. $\(\frac{7}{13}\)$
  4. $\(\frac{9}{13}\)$

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Neither club nor queen = Total - (clubs or queens). Clubs: 13. Queens: 4. But queen of clubs counted twice, so clubs or queens = 13+4-1 = 16. Cards that are neither club nor queen = 52-16 = 36. Probability = 36/52 = 9/13. The correct answer is D.

Keep practicing — related questions