Multiple choice

A card is drawn at random from a pack of cards, what is the probability that it is neither a black card nor a king nor even a queen?

  1. $\dfrac {15}{26}$
  2. $\dfrac {11}{26}$
  3. $\dfrac {1}{2}$
  4. $\dfrac {17}{26}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A standard deck has 52 cards. There are 26 black cards, 4 kings, and 4 queens. Since the 2 black kings and 2 black queens are already counted in the 26 black cards, we subtract the 26 black cards, the 2 red kings, and the 2 red queens, totaling 30 cards to exclude. This leaves 22 cards, and 22/52 simplifies to 11/26.

AI explanation

To find the cards that are neither black nor a king nor a queen, we exclude all 26 black cards, the 2 red kings, and the 2 red queens from the deck. This leaves 52 minus 30, resulting in 22 favourable red cards. The probability is 22 divided by 52, which simplifies to 11/26.

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