Multiple choice

A card id drawn at random from a will-shuffled pack of 52 cards What is the probability that the card drawn is neither a red card nor a queen?

  1. $ \displaystyle \frac{5}{12} $
  2. $ \displaystyle \frac{3}{13} $
  3. $ \displaystyle \frac{2}{11} $
  4. $ \displaystyle \frac{6}{13} $
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D Correct answer
Explanation

Total cards = 52. Red cards = 26. Queens = 4. Red Queens = 2. Cards that are red or a queen = 26 + 4 - 2 = 28. Cards that are neither = 52 - 28 = 24. Probability = 24/52 = 6/13.

AI explanation

A standard deck has 52 cards, of which 26 are red and 4 are queens, including 2 red queens. The number of cards that are either red or a queen is calculated as 26 plus 2, equaling 28. This leaves 24 cards that are neither red nor queens, making the probability 24 divided by 52, which simplifies to 6/13.

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